Tootfinder

Residuality Theory: A Rebellious Take on Building Systems That Actually Survive
#resiliency

Compact binary systems in Einstein-{\AE}ther gravity. II. Radiation reaction to 2.5 post-Newtonian order
Fatemeh Taherasghari, Clifford M. Will
https://arxiv.org/abs/2506.03843

Compact binary systems in Einstein-Æther gravity. II. Radiation reaction to 2.5 post-Newtonian order
We obtain the equations of motion for compact binary systems (black holes or neutron stars) in an alternative theory of gravity known as Einstein-AEther theory, which supplements the standard spacetime metric with a timelike four-vector (the AEther field) that is constrained to have unit norm. The equations make use of solutions obtained in Paper I for the gravitational and AEther field potentials within the near zone of the system, evaluated to 2.5 post-Newtonian (PN) order ($O(v/c)^5$ beyond …

Understanding Visually Impaired Tramway Passengers Interaction with Public Transport Systems
Dominik Mimra, Dominik Kaar, Enrico Del Re, Novel Certad, Joshua Cherian Varughese, David Seibt, Cristina Olaverri-Monreal
https://arxiv.org/abs/2506.03687

Understanding Visually Impaired Tramway Passengers Interaction with Public Transport Systems
Designing inclusive public transport services is crucial to developing modern, barrier-free smart city infrastructure. This research contributes to the design of inclusive public transport by considering accessibility challenges emerging from socio-technical systems, thus demanding the integration of technological and social solutions. Using Actor-Network Theory (ANT) as a theoretical framework and a mixed-method approach, including shadowing and a focus group, this study examines the socio-tec…

This https://arxiv.org/abs/2412.00908 has been replaced.
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Optomechanical systems with nonlinear interactions: photon blockade, collapse-revival effect and Fano-like resonance
Closed-form expressions for the average amplitude of the optical field in optomechanical systems are obtained, in which, in addition to the linear interaction, quadratic and cubic interactions of the vibrational mode of the mechanical resonator with the mode of the optical resonator are considered. In the framework of the non-secular perturbation theory, using the Bogoliubov averaging method, it is shown that the effects of photon blockade, collapse and revival of optical oscillations in such s…

This https://arxiv.org/abs/2412.01612 has been replaced.
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Iwasawa theory for weighted graphs
Let $p$ be a prime number and let $d$ be a positive integer. In this paper, we generalize Iwasawa theory for graphs initiated by Gonet and Vallières to weighted graphs. In particular, we prove an analogue of Iwasawa's class number formula and that of Kida's formula for compatible systems of $(\mathbb{Z}/p^n\mathbb{Z})^d$-covers of weighted graphs. We also provide numerical examples of characteristic elements and Iwasawa invariants. At the end of this paper, we give an application of the ideas …

This https://arxiv.org/abs/2503.01112 has been replaced.
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Nonreciprocal field theory for decision-making in multi-agent control systems
Field theories for complex systems traditionally focus on collective behaviors emerging from simple, reciprocal pairwise interaction rules. However, many natural and artificial systems exhibit behaviors driven by microscopic decision-making processes that introduce both nonreciprocity and many-body interactions, challenging these conventional approaches. We develop a theoretical framework to incorporate decision-making into field theories using the shepherding control problem as a paradigmatic …

This https://arxiv.org/abs/2401.16983 has been replaced.
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Classification complexity of chaotic systems
In this paper, we deal with the classification complexity of continuous (Devaney) chaotic systems in dimensions $0,1$ and $\infty$ using the framework of invariant descriptive set theory. We identify the complexity in dimensions $0$ and $\infty$, while in dimension $1$ we get some partial results. More precisely, we prove the topological conjugacy relation of invertible chaotic systems on the Hilbert cube (resp. on all compact metric spaces) has the same complexity as (i.e. is Borel bireducib…

This https://arxiv.org/abs/2411.03347 has been replaced.
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Dispersion relation for the linear theory of relativistic Rayleigh Taylor instability in magnetized medium revisited
The Rayleigh-Taylor instability (RTI) arises at the interface between two fluids of different densities, notably when a heavier fluid lies above a lighter one in an effective gravitational field. In astrophysical systems with high velocities, relativistic corrections are necessary. We investigate the linear theory of relativistic Rayleigh-Taylor instability (R-RTI) in a magnetized medium, where fluids can move parallel to the interface at relativistic velocities. We chose an "intermediate frame…

This https://arxiv.org/abs/2505.14767 has been replaced.
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Ordering the topological order in the fractional quantum Hall effect
We discuss the possible topological order/topological quantum field theory of different quantum Hall systems. Given the value of the Hall conductivity, we constrain the global symmetry of the low-energy theory and its anomaly. Specifically, the one-form global symmetry and its anomaly are presented as the organizing principle of these systems. This information is powerful enough to lead to a unique minimal topological order (or a small number of minimal topological orders). Almost all of the kn…

Rigorous theory of coupled resonators
E. A. Muljarov
https://arxiv.org/abs/2506.04413 https://arxiv.org/pdf/2506.04413

Rigorous theory of coupled resonators
We demonstrate the general failure of the famous concept of tight binding and mode hybridization underlying modern theories of coupled open resonators. In spite of sophisticated examples in the literature, successfully illustrating these theories, the latter fail to describe any planar systems. This includes the simplest possible case of two dielectric slabs placed next to each other or separated by a distance, which is straightforward for verification, due to its analytical solvability. We pre…

Random dynamical systems for McKean--Vlasov SDEs via rough path theory
Benjamin Gess, Rishabh S. Gvalani, Shanshan Hu
https://arxiv.org/abs/2507.02449 http…

Random dynamical systems for McKean--Vlasov SDEs via rough path theory
The existence of random dynamical systems for McKean--Vlasov SDEs is established. This is approached by considering the joint dynamics of the corresponding nonlinear Fokker-Planck equation governing the law of the system and the underlying stochastic differential equation (SDE) as a dynamical system on the product space $\RR^d \times \mathcal{P}(\RR^d)$. The proof relies on two main ingredients: At the level of the SDE, a pathwise rough path-based solution theory for SDEs with time-dependent …

A Conceptual Introduction to Hetero-functional Graph Theory for Systems-of-Systems
Amro M. Farid, Amirreza Hosseini, John C. Little
https://arxiv.org/abs/2505.24046

A Conceptual Introduction to Hetero-functional Graph Theory for Systems-of-Systems
A defining feature of twenty first century engineering challenges is their inherent complexity, demanding the convergence of knowledge across diverse disciplines. Establishing consistent methodological foundations for engineering systems remains a challenge -- one that both systems engineering and network science have sought to address. Model-based systems engineering (MBSE) has recently emerged as a practical, interdisciplinary approach for developing complex systems from concept through imple…

Associative triple trisystems and standard embeddings
Ra\'ul Felipe, Guillermo Vera de Salas
https://arxiv.org/abs/2506.04191 https://

Associative triple trisystems and standard embeddings
Building on the established theories of Jordan triple disystems and Leibniz triple systems, we introduce and develop the theory of associative triple trisystems, filling a significant gap in the existing framework. We establish the classical relationships between associative, Jordan, and Lie triple systems within the context of trisystems. We present a significant example by equipping the space of matrices with a non-trivial associative dialgebra structure. We conclude defining the concept of d…

Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems
Meret Preu{\ss}
https://arxiv.org/abs/2506.03029 https://

Simplifying higher-order perturbation theory for ring-shaped Bose-Hubbard systems
In this paper, higher-order perturbation theory is applied and tailored to one-dimensional ring-shaped Bose-Hubbard systems. Spectral and geometrical properties are used to structurally simplify the contributions and reduce computational effort without sacrificing accuracy. For this, a guide for the computation of the individual perturbational orders up to order nine is provided, alongside a both system-specific and parametrization-dependent convergence criterion. The simplification scheme desc…

This https://arxiv.org/abs/2405.14942 has been replaced.
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Mapping 1+1-dimensional black hole thermodynamics to finite volume effects
Both black hole thermodynamics and finite volume effects in quantum field theory violate the null energy condition. Motivated by this, we compare thermodynamic features between two $1+1$-dimensional systems: (i) a scalar field confined to a periodic spatial interval of length $a$ and tunneling between two degenerate vacua; (ii) a dilatonic black hole at temperature $T$ in the presence of matter fields. If we identify $a\propto T^{-1}$, we find similar thermodynamic behaviour, which suggests som…

Generalized chord diagrams and weight systems
M. Kazarian, E. Krasilnikov, S. Lando, M. Shapiro
https://arxiv.org/abs/2505.24491 https://

Generalized chord diagrams and weight systems
Weight systems are functions on chord diagrams satisfying Vassiliev's $4$-term relations. They originate in the theory of finite type knot invariants. Recent developments in understanding weight systems arising from Lie algebras are based on extending these weight systems from chord diagrams (which can be interpreted as involutions without fixed points, considered modulo cyclic shifts) to arbitrary permutations (also modulo cyclic shifts). We suggest relations for functions on permutations, whi…

Nonlinear projection for ballistic correlation functions: a formula in terms of minimal connected covers
Benjamin Doyon
https://arxiv.org/abs/2506.05266 ht…

Nonlinear projection for ballistic correlation functions: a formula in terms of minimal connected covers
In many-body systems, the dynamics is governed, at large scales of space and time, by the hydrodynamic principle of projection onto the conserved densities admitted by the model. This is formalised as local relaxation of fluctuations in the ballistic macroscopic fluctuation theory, a nonlinear Boltzmann-Gibbs principle. We use it to derive a projection formula, expressing n-point connected correlation functions (cumulants) of generic observables at different space-time points, in terms of those…

A New Perspective On AI Safety Through Control Theory Methodologies
Lars Ullrich, Walter Zimmer, Ross Greer, Knut Graichen, Alois C. Knoll, Mohan Trivedi
https://arxiv.org/abs/2506.23703

A New Perspective On AI Safety Through Control Theory Methodologies
While artificial intelligence (AI) is advancing rapidly and mastering increasingly complex problems with astonishing performance, the safety assurance of such systems is a major concern. Particularly in the context of safety-critical, real-world cyber-physical systems, AI promises to achieve a new level of autonomy but is hampered by a lack of safety assurance. While data-driven control takes up recent developments in AI to improve control systems, control theory in general could be leveraged t…

Generalized Lotka-Volterra systems with quenched random interactions and saturating functional response
Marco Zenari, Francesco Ferraro, Sandro Azaele, Amos Maritan, Samir Suweis
https://arxiv.org/abs/2506.04056

Generalized Lotka-Volterra systems with quenched random interactions and saturating functional response
The generalized Lotka-Volterra (GLV) equations with quenched random interactions have been extensively used to investigate the stability and dynamics of complex ecosystems. However, the standard linear interaction model suffers from pathological unbounded growth, especially under strong cooperation or heterogeneity. This work addresses that limitation by introducing a Monod-type saturating functional response into the GLV framework. Using Dynamical Mean Field Theory, we derive analytical expres…

This https://arxiv.org/abs/2501.07544 has been replaced.
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$C^*$-supports and abnormalities of operator systems
Let $S$ be a concrete operator system represented on some Hilbert space $H$. A $C^*$-support of $S$ is the $C^*$-algebra generated (via the Choi--Effros product) by $S$ inside an injective operator system acting on $H$. By leveraging Hamana's theory, we show that such a $C^*$-support is unique precisely when $C^*(S)$ is contained in every copy of the injective envelope of $S$ that acts on $H$. Further, we demonstrate how the uniqueness of certain $C^*$-supports can be used to give new character…

A Hybrid Perspective on Suboptimal Mixed-Integer Quadratic Programming
Luke Fina, Christopher Petersen
https://arxiv.org/abs/2507.02772 https://

A Hybrid Perspective on Suboptimal Mixed-Integer Quadratic Programming
This work solves suboptimal mixed-integer quadratic programs recursively for feedback control of dynamical systems. The proposed framework leverages parametric mixed-integer quadratic programming (MIQP) and hybrid systems theory to model a recursive MIQP feedback controller and a feedback controlled dynamical system. The proposed hybrid framework theoretically encodes the suboptimal part via solver parameters as bounded perturbations from the optimal solution set. The stability of the proposed …

Study of Complexity Factor and Stability of Dynamical Systems in $f(G)$ Gravity
M. Zeeshan Gul, W. Ahmad, M. M. M. Nasir, Faisal Javed, Orhan Donmez, Bander Almutairi
https://arxiv.org/abs/2506.03559

Study of Complexity Factor and Stability of Dynamical Systems in $f(G)$ Gravity
In this paper, we evaluate the complexity of the non-static cylindrical geometry with anisotropic matter configuration in the framework of modified Gauss-Bonnet theory. In this perspective, we calculate modified field equations, the C energy formula, and the mass function that helps to understand the astrophysical structures in this modified gravity. Furthermore, we use the Weyl tensor and obtain different structure scalars by orthogonally splitting the Riemann tensor. One of these scalars, $YT…

Time inversion symmetry in the Dirac and Schr\"odinger-Pauli theories
R. Winkler, U. Z\"ulicke
https://arxiv.org/abs/2506.01292 https://

Time inversion symmetry in the Dirac and Schrödinger-Pauli theories
The Schrödinger-Pauli theory is generally believed to give a faithful representation of the nonrelativistic and weakly relativistic limit of the Dirac theory. However, the Schrödinger-Pauli theory is fundamentally incomplete in its account of broken time inversion symmetry, e.g., in magnetically ordered systems. In the Dirac theory of the electron, magnetic order breaks time inversion symmetry even in the nonrelativistic limit, whereas time inversion symmetry is effectively preserved in the S…

Training Beam Design for Channel Estimation in Hybrid mmWave MIMO Systems
Xiaochun Ge, Wenqian Shen, Chengwen Xing, Lian Zhao, Jianping An
https://arxiv.org/abs/2506.00913

Training Beam Design for Channel Estimation in Hybrid mmWave MIMO Systems
Training beam design for channel estimation with infinite-resolution and low-resolution phase shifters (PSs) in hybrid analog-digital milimeter wave (mmWave) massive multiple-input multiple-output (MIMO) systems is considered in this paper. By exploiting the sparsity of mmWave channels, the optimization of the sensing matrices (corresponding to training beams) is formulated according to the compressive sensing (CS) theory. Under the condition of infinite-resolution PSs, we propose relevant algo…

This https://arxiv.org/abs/2505.24502 has been replaced.
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Predictability of quantum observables: Applications in QKD and top quarks
We quantify and optimize the predictability of local observables in bipartite quantum systems by employing the Bayes risk and the inference variance, two measures rooted in statistical learning theory. Specifically, we minimized these quantities when the prediction is improved by an additional quantum system, providing analytical expressions for arbitrary two-qubit states, and showcasing a connection with Einstein-Podolsky-Rosen steering criteria. Then, we embed our Bayes risk minimization into…

Ghost in the Machine: Examining the Philosophical Implications of Recursive Algorithms in Artificial Intelligence Systems
Llewellin RG Jegels
https://arxiv.org/abs/2507.01967

Ghost in the Machine: Examining the Philosophical Implications of Recursive Algorithms in Artificial Intelligence Systems
This paper investigates whether contemporary AI architectures employing deep recursion, meta-learning, and self-referential mechanisms provide evidence of machine consciousness. Integrating philosophical history, cognitive science, and AI engineering, it situates recursive algorithms within a lineage spanning Cartesian dualism, Husserlian intentionality, Integrated Information Theory, the Global Workspace model, and enactivist perspectives. The argument proceeds through textual analysis, compar…

This https://arxiv.org/abs/2505.18329 has been replaced.
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Towards a double operadic theory of systems
We present a unified framework for categorical systems theory which packages a collection of open systems, their interactions, and their maps into a symmetric monoidal loose right module of systems over a symmetric monoidal double category of interfaces and interactions. As examples, we give detailed descriptions of (1) the module of open Petri nets over undirected wiring diagrams and (2) the module of deterministic Moore machines over lenses. We define several pseudo-functorial constructions o…

Agentic AI in Product Management: A Co-Evolutionary Model
Nishant A. Parikh
https://arxiv.org/abs/2507.01069 https://arxiv.org/pdf/25…

Agentic AI in Product Management: A Co-Evolutionary Model
This study explores agentic AI's transformative role in product management, proposing a conceptual co-evolutionary framework to guide its integration across the product lifecycle. Agentic AI, characterized by autonomy, goal-driven behavior, and multi-agent collaboration, redefines product managers (PMs) as orchestrators of socio-technical ecosystems. Using systems theory, co-evolutionary theory, and human-AI interaction theory, the framework maps agentic AI capabilities in discovery, scoping, b…

Instanton Theory for Nonadiabatic Tunneling through Near-Barrier Crossings
Ziyan Ye, Eric R. Heller, Dong H. Zhang, Jeremy O. Richardson, Wei Fang
https://arxiv.org/abs/2507.01151

Instanton Theory for Nonadiabatic Tunneling through Near-Barrier Crossings
Many reactions in chemistry and biology involve multiple electronic states, rendering them nonadiabatic in nature. These reactions can be formally described using Fermi's golden rule (FGR) in the weak-coupling limit. Nonadiabatic instanton theory presents a semiclassical approximation to FGR, which is directly applicable to molecular systems. However, there are cases where the theory has not yet been formulated. For instance, in many real-world reactions including spin-crossover or proton-coupl…

Coalgebraic proof translations for non-wellfounded proofs
Borja Sierra Miranda, Thomas Studer, Lukas Zenger
https://arxiv.org/abs/2506.01711 https://

Coalgebraic proof translations for non-wellfounded proofs
Non-wellfounded proof theory results from allowing proofs of infinite height in proof theory. To guarantee that there is no vicious infinite reasoning, it is usual to add a constraint to the possible infinite paths appearing in a proof. Among these conditions, one of the simplest is enforcing that any infinite path goes through the premise of a rule infinitely often. Systems of this kind appear for modal logics with conversely well-founded frame conditions like GL or Grz. In this paper, we pr…

Integrative, Scalable Modeling of Hydrological Systems with MBSE and HFGT
Megan Harris, Ehsanoddin Ghorbanichemazkati, Mohammad Mahdi Naderi, John C. Little, Amro M. Farid
https://arxiv.org/abs/2506.00696

Integrative, Scalable Modeling of Hydrological Systems with MBSE and HFGT
Worsening global challenges in the Anthropocene demand complex, adaptive solutions grounded in a systems-level understanding of coupled social and environmental dynamics. However, existing modeling approaches often fall short due to disciplinary silos, limited scalability, and the absence of shared ontological frameworks. Model-Based Systems Engineering (MBSE), when integrated with Hetero-functional Graph Theory (HFGT), offers a powerful methodology for modeling systems of systems while preserv…

This https://arxiv.org/abs/2504.01814 has been replaced.
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Energy Density Functional of Confined Quarks: an Improved Ansatz
Density Functional Theory (DFT) is a robust framework for modeling interacting many-body systems, including the equation of state (EoS) of dense matter. Many models, however, rely on energy functionals based on assumptions that have not been rigorously validated. We critically analyze a commonly used ansatz for confinement, where the energy functional scales with density as $U \propto n^{\frac{2}{3}}$ . Our findings, derived from a systematic non-local energy functional, reveal that this scalin…

Constructing Two Metrics for Spencer Cohomology: Hodge Decomposition of Constrained Bundles
Dongzhe Zheng
https://arxiv.org/abs/2506.00752 https://

Constructing Two Metrics for Spencer Cohomology: Hodge Decomposition of Constrained Bundles
This paper establishes a metric framework for Spencer complexes based on the geometric theory of compatible pairs $(D,λ)$ in principal bundle constraint systems, solving fundamental technical problems in computing Spencer cohomology of constraint systems. We develop two complementary and geometrically natural metric schemes: a tensor metric based on constraint strength weighting and an induced metric arising from principal bundle curvature geometry, both maintaining deep compatibility with the…

A Ranking Framework for Network Resource Allocation and Scheduling via Hypergraphs
Rajpreet Singh, Novak Bo\v{s}kov, Aditya Gudal, Manzoor A. Khan
https://arxiv.org/abs/2506.01571

A Ranking Framework for Network Resource Allocation and Scheduling via Hypergraphs
Resource allocation and scheduling are a common problem in various distributed systems. Although widely studied, the state-of-the-art solutions either do not scale or lack the expressive power to capture the most complex instances of the problem. To that end, we present a mathematical framework for hypergraph ranking and analysis, unifying graph theory, lattice theory, and semantic analysis. In our fundamental theorem, we prove the existence of partial order on entities of hypergraphs, extendin…

Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems
Christian Engwer, Mario Ohlberger, Lukas Renelt
https://arxiv.org/abs/2507.00678

Sectional Kolmogorov N-widths for parameter-dependent function spaces: A general framework with application to parametrized Friedrichs' systems
We investigate parametrized variational problems where for each parameter the solution may originate from a different parameter-dependent function space. Our main motivation is the theory of Friedrichs' systems, a large abstract class of linear PDE-problems whose solutions are sought in operator- (and thus parameter-)dependent graph spaces. Other applications include function spaces on parametrized domains or discretizations involving data-dependent stabilizers. Concerning the set of all parame…

The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions
Yuan Lian, Bin Zhu
https://arxiv.org/abs/2506.01805 https://

The Shannon-McMillan-Breiman theorem of random dynamical systems for amenable group actions
The Shannon-McMillan-Breiman theorem is one of the most important results in information theory, which can describe the random ergodic process, and its proof uses the famous Birkhoff ergodic theorem, so it can be seen that it plays a crucial role in ergodic theory. In this paper, the Shannon-McMillan-Breiman theorem in the random dynamical systems is proved from the perspective of an amenable group action, which provides a boost for the development of entropy theory in the random dynamical syst…

Hydrodynamic fluctuations of stochastic charged cellular automata
Takato Yoshimura, \v{Z}iga Krajnik
https://arxiv.org/abs/2506.05247 https://

Hydrodynamic fluctuations of stochastic charged cellular automata
We study charge fluctuations of a family of stochastic charged cellular automata away from the deterministic single-file limit and obtain the exact typical charge probability distributions, known to be anomalous, using hydrodynamics. The cellular automata considered are examples of linearly degenerate systems where two distinct mechanisms of diffusion, namely normal and convective diffusion, coexist. Our formalism, based on macroscopic fluctuation theory, allows us to describe current fluctuati…

Quantum theory of fractional topological pumping of lattice solitons
Julius Bohm, Hugo Gerlitz, Christina J\"org, Michael Fleischhauer
https://arxiv.org/abs/2506.00090

Quantum theory of fractional topological pumping of lattice solitons
One of the hallmarks of topological quantum systems is the robust quantization of particle transport, which is the origin of the integer-valued Quantum Hall conductivity. In the presence of interactions the topological transport can also become fractional. Recent experiments on topological pumps constructed by arrays of photonic waveguides have demonstrated both integer and fractional transport of lattice solitons. Here a background medium mediates interactions between photons via a Kerr nonlin…

Information-Optimal Sensing and Control in High-Intensity Laser Experiments
A. D\"opp, C. Eberle, J. Esslinger, S. Howard, F. Irshad, J. Schroeder, N. Weisse, S. Karsch
https://arxiv.org/abs/2506.04946

Information-Optimal Sensing and Control in High-Intensity Laser Experiments
High-intensity laser systems present unique measurement and optimization challenges due to their high complexity, low repetition rates, and shot-to-shot variations. We discuss recent developments towards a unified framework based on information theory and Bayesian inference that addresses these challenges. Starting from fundamental constraints on the physical field structure, we recently demonstrated how to capture complete spatio-temporal information about individual petawatt laser pulses. Bui…

Collisionless relaxation to quasi-steady state attractors in cold dark matter halos: origin of the universal NFW profile
Uddipan Banik, Amitava Bhattacharjee
https://arxiv.org/abs/2506.02104

Collisionless relaxation to quasi-steady state attractors in cold dark matter halos: origin of the universal NFW profile
Collisionless self-gravitating systems such as cold dark matter halos are known to harbor universal density profiles despite the intricate non-linear physics of hierarchical structure formation in the $Λ$CDM paradigm. The origin of these attractor states has been a persistent mystery, particularly because the physics of collisionless relaxation is not well understood. To solve this long-standing problem, we develop a self-consistent quasilinear theory in action-angle space for the collisionles…

Synergizing Logical Reasoning, Knowledge Management and Collaboration in Multi-Agent LLM System
Adam Kostka, Jaros{\l}aw A. Chudziak
https://arxiv.org/abs/2507.02170

Synergizing Logical Reasoning, Knowledge Management and Collaboration in Multi-Agent LLM System
This paper explores the integration of advanced Multi-Agent Systems (MAS) techniques to develop a team of agents with enhanced logical reasoning, long-term knowledge retention, and Theory of Mind (ToM) capabilities. By uniting these core components with optimized communication protocols, we create a novel framework called SynergyMAS, which fosters collaborative teamwork and superior problem-solving skills. The system's effectiveness is demonstrated through a product development team case study,…

On Drug Delivery System Parameter Optimisation via Semantic Information Theory
Milica Leki\'c, Mohammad Zoofaghari, Ilangko Balasingham, Mladen Veleti\'c
https://arxiv.org/abs/2506.22137

On Drug Delivery System Parameter Optimisation via Semantic Information Theory
We investigate the application of semantic information theory to drug delivery systems (DDS) within the molecular communication (MC) framework. To operationalise this, we observe a DDS as a molecular concentration-based channel. Semantic information is defined as the amount of information required for a DDS to achieve its therapeutic goal in a dynamic environment. We derive it by introducing interventions, defined as modifications to DDS parameters, a viability function, and system-environment …

Systemic Constraints of Undecidability
Seth Bulin
https://arxiv.org/abs/2507.01036 https://arxiv.org/pdf/2507.01036

Systemic Constraints of Undecidability
This paper presents a theory of systemic undecidability, reframing incomputability as a structural property of systems rather than a localized feature of specific functions or problems. We define a notion of causal embedding and prove a closure principle: any subsystem that participates functionally in the computation of an undecidable system inherits its undecidability. This result positions undecidability as a pervasive constraint on prediction, modeling, and epistemic access in both natural …

The Gauss-Markov Adjunction: Categorical Semantics of Residuals in Supervised Learning
Moto Kamiura
https://arxiv.org/abs/2507.02442 https://

The Gauss-Markov Adjunction: Categorical Semantics of Residuals in Supervised Learning
Enhancing the intelligibility and interpretability of machine learning is a crucial task in responding to the demand for Explicability as an AI principle, and in promoting the better social implementation of AI. The aim of our research is to contribute to this improvement by reformulating machine learning models through the lens of category theory, thereby developing a semantic framework for structuring and understanding AI systems. Our categorical modeling in this paper clarifies and formalize…

Coexistence and Extinction in Flow-Kick Systems: An invasion growth rate approach
Sebastian J. Schreiber
https://arxiv.org/abs/2507.02157 https://

Coexistence and Extinction in Flow-Kick Systems: An invasion growth rate approach
Populations experience a complex interplay of continuous and discrete processes: continuous growth and interactions are punctuated by discrete reproduction events, dispersal, and external disturbances. These dynamics can be modeled by impulsive or flow-kick systems, where continuous flows alternate with instantaneous discrete changes. To study species persistence in these systems, an invasion growth rate theory is developed for flow-kick models with state-dependent timing of kicks and auxiliary…

Enhancing Spatio-Temporal Resolution of Process-Based Life Cycle Analysis with Model-Based Systems Engineering \& Hetero-functional Graph Theory
Niraj Gohil, Nawshad Haque, Amgad Elgowainy, Amro M. Farid
https://arxiv.org/abs/2506.00230

Enhancing Spatio-Temporal Resolution of Process-Based Life Cycle Analysis with Model-Based Systems Engineering \& Hetero-functional Graph Theory
Life cycle analysis (LCA) has emerged as a vital tool for assessing the environmental impacts of products, processes, and systems throughout their entire lifecycle. It provides a systematic approach to quantifying resource consumption, emissions, and waste, enabling industries, researchers, and policymakers to identify hotspots for sustainability improvements. By providing a comprehensive assessment of systems, from raw material extraction to end-of-life disposal, LCA facilitates the developmen…

Finite-dimensional $\mathbb{Z}$-graded Lie algebras
Mark D. Gould, Phillip S. Isaac, Ian Marquette, Jorgen Rasmussen
https://arxiv.org/abs/2507.00384 https…

Finite-dimensional $\mathbb{Z}$-graded Lie algebras
We investigate the structure and representation theory of finite-dimensional $\mathbb{Z}$-graded Lie algebras, including the corresponding root systems and Verma, irreducible, and Harish-Chandra modules. This extends the familiar theory for finite-dimensional semisimple Lie algebras to a much wider class of Lie algebras, and opens up for advances and applications in areas relying on ad-hoc approaches. Physically relevant examples are afforded by the Heisenberg and conformal Galilei algebras, in…

This https://arxiv.org/abs/2505.21739 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

Reflections of Cultural Wealth: Exploring Identity in Physics through Photo Elicitation
This paper presents a photo elicitation project that invites students to explore their identities in STEM and surface the cultural wealth they bring into the physics classroom. Grounded in critical race theory, educational theory, and affective neuroscience, the project asks students to take original photographs representing aspects of their lived experience-such as motivation, belonging, and support systems-and to write short reflections connecting these images to their journey in science. The…

Characterizing control between interacting subsystems with deep Jacobian estimation
Adam J. Eisen, Mitchell Ostrow, Sarthak Chandra, Leo Kozachkov, Earl K. Miller, Ila R. Fiete
https://arxiv.org/abs/2507.01946

Characterizing control between interacting subsystems with deep Jacobian estimation
Biological function arises through the dynamical interactions of multiple subsystems, including those between brain areas, within gene regulatory networks, and more. A common approach to understanding these systems is to model the dynamics of each subsystem and characterize communication between them. An alternative approach is through the lens of control theory: how the subsystems control one another. This approach involves inferring the directionality, strength, and contextual modulation of c…

Enhanced Thermodynamic Framework for Third-Order Galaxy Correlation Functions: From Theory to Observations
Sameer Choudhary, Naseer Iqbal
https://arxiv.org/abs/2506.23829

Enhanced Thermodynamic Framework for Third-Order Galaxy Correlation Functions: From Theory to Observations
We present a comprehensive thermodynamic derivation and observational validation of the third-order galaxy correlation function, extending the seminal work of Iqbal et al [ 1, 2]. Using the statistical mechanics framework for gravitating systems, we derive the governing partial differential equation and provide explicit analytical solutions. Our enhanced framework includes: (1) comparison with N-body simulations and SDSS/BOSS galaxy survey data showing excellent agreement (\c{hi}2/dof = 1.27), …

This https://arxiv.org/abs/2408.05663 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Physics-informed spectral approximation of Koopman operators
Koopman operators and transfer operators represent nonlinear dynamics in state space through its induced action on linear spaces of observables and measures, respectively. This framework enables the use of linear operator theory for supervised and unsupervised learning of nonlinear dynamical systems, and has received considerable interest in recent years. Here, we propose a data-driven technique for spectral approximation of Koopman operators of continuous-time, measure-preserving ergodic syste…

Consideraciones para una formulaci\'on Termodin\'amica Neo-Gibbsiana aplicada a sistemas sociales
Victor Alcides Guzm\'an Rodr\'iguez, Esneiber Hibraim Solano Herrera
https://arxiv.org/abs/2506.01794

Consideraciones para una formulación Termodinámica Neo-Gibbsiana aplicada a sistemas sociales
This work proposes a first approach towards a neo-Gibbsian thermodynamic theory for social systems, grounded in quantifiable economic and cultural parameters, while deliberately avoiding direct analogies with classical thermodynamic equations of state. Building on previous thermodynamic approaches to economic modeling, we introduce a conceptual basis for defining intensive variables capable of characterizing equilibrium states and evolutionary dynamics in societies. Particular attention is give…

This https://arxiv.org/abs/2208.14711 has been replaced.
link: https://scholar.google.com/scholar?q=a

On real roots of polynomial systems of equations in the context of group theory
The probability that a zero of a random real polynomial of increasing degree is real tends to zero. However, passing from polynomials to Laurent polynomials yields a surprising result: the probability that a root is real tends not to zero, but to $1/\sqrt{3}$. A similar phenomenon has also been observed for systems of Laurent polynomials in several variables. By considering Laurent polynomials as functions associated with torus representations, we describe an analogous phenomenon for representa…

Foundations of the ionization potential condition for localized electron removal in density functional theory
Guy Ohad, Mar\'ia Camarasa-G\'omez, Jeffrey B. Neaton, Ashwin Ramasubramaniam, Tim Gould, Leeor Kronik
https://arxiv.org/abs/2506.00629

Foundations of the ionization potential condition for localized electron removal in density functional theory
Optimal tuning of functional parameters in density functional theory approximations, based on enforcing the ionization potential theorem, has emerged as the method of choice for the non-empirical prediction of the electronic structure of finite systems. This method has recently been extended to the bulk limit, based on an ansatz that generalizes the ionization potential theorem to the removal of an electron from a localized Wannier orbital. This Wannier-localization based optimal tuning method …

Reconfiguring Digital Accountability: AI-Powered Innovations and Transnational Governance in a Postnational Accounting Context
Claire Li, David Freeborn
https://arxiv.org/abs/2507.00288

Reconfiguring Digital Accountability: AI-Powered Innovations and Transnational Governance in a Postnational Accounting Context
This study explores how AI-powered digital innovations are reshaping organisational accountability in a transnational governance context. As AI systems increasingly mediate decision-making in domains such as auditing and financial reporting, traditional mechanisms of accountability, based on control, transparency, and auditability, are being destabilised. We integrate the Technology Acceptance Model (TAM), Actor-Network Theory (ANT), and institutional theory to examine how organisations adopt A…

Graph neural network model for the era of large atomistic models
Duo Zhang, Anyang Peng, Chun Cai, Wentao Li, Yuanchang Zhou, Jinzhe Zeng, Mingyu Guo, Chengqian Zhang, Bowen Li, Hong Jiang, Tong Zhu, Weile Jia, Linfeng Zhang, Han Wang
https://arxiv.org/abs/2506.01686

Graph neural network model for the era of large atomistic models
Foundation models, or large atomistic models (LAMs), aim to universally represent the ground-state potential energy surface (PES) of atomistic systems as defined by density functional theory (DFT). The scaling law is pivotal in the development of large models, suggesting that their generalizability in downstream tasks consistently improves with increased model size, expanded training datasets, and larger computational budgets. In this study, we present DPA3, a multi-layer graph neural network f…

Floquet-like theory and gauge transformations for general smooth dynamical systems
Giuseppe Gaeta, Sebastian Walcher
https://arxiv.org/abs/2506.14982 https…

Floquet-like theory and gauge transformations for general smooth dynamical systems
The classical Floquet theory allows to map a time-periodic system of linear differential equations into an autonomous one. By looking at it in a geometrical way, we extend the theory to a class of non-autonomous non-periodic equations. This is obtained by considering a change of variables which depends on time in a non-trivial way, i.e. introducing gauge transformations, well known in fundamental Physics and Field Theory -- but which seems to have received little attention in this context.

The Complexity of Thermalization in Finite Quantum Systems
Dhruv Devulapalli, T. C. Mooney, James D. Watson
https://arxiv.org/abs/2507.00405 https://

The Complexity of Thermalization in Finite Quantum Systems
Thermalization is the process through which a physical system evolves toward a state of thermal equilibrium. Determining whether or not a physical system will thermalize from an initial state has been a key question in condensed matter physics. Closely related questions are determining whether observables in these systems relax to stationary values, and what those values are. Using tools from computational complexity theory, we demonstrate that given a Hamiltonian on a finite-sized system, dete…

This https://arxiv.org/abs/2102.08600 has been replaced.
link: https://scholar.google.com/scholar?q=a

A new characterization of the convergence factor of two-level methods
Multilevel methods are among the most efficient numerical methods for solving large-scale systems of equations that arise from discretized partial differential equations. Two-level convergence theory plays a fundamental role in the analysis and design of multilevel methods. In this paper, we present a concise and easy-to-use identity for characterizing the convergence factor of two-level methods, whose hierarchical spaces can be either overlapping or non-overlapping. In order to illustrate its …

Khronon-Tensor theory reproducing MOND and the cosmological model
Luc Blanchet, Constantinos Skordis
https://arxiv.org/abs/2507.00912 https://

Khronon-Tensor theory reproducing MOND and the cosmological model
We propose an alternative scalar-tensor theory based on the Khronon scalar field labeling a family of space-like three-dimensional hypersurfaces. This theory leads to modified Newtonian dynamics (MOND) at galactic scales for stationary systems, recovers GR plus a cosmological constant in the strong field regime, and is in agreement with the standard cosmological model and the observed cosmic microwave background anisotropies.

Spin non-Collinear Real-Time Time-Dependent Density-Functional Theory and Implementation in the Modern GPU-Accelerated INQ code
Jacopo Simoni, Xavier Andrade, Wuzhang Fang, Andrew C. Grieder, Alfredo A. Correa, Tadashi Ogitsu, Yuan Ping
https://arxiv.org/abs/2506.21908

Spin non-Collinear Real-Time Time-Dependent Density-Functional Theory and Implementation in the Modern GPU-Accelerated INQ code
Time-dependent density functional theory (TDDFT) is a theory that describes the time evolution of quantum mechanical many-electron systems under the influence of external time-dependent electric and magnetic fields. INQ is a specially designed software to efficiently solve the real-time TDDFT equations on graphics processing units (GPUs), which aim to overcome the computational limitation of time and size scales of non-equilibrium quantum dynamics. In this work we will present an implementation…

Non-Bloch Band Theory for 2D Geometry-Dependent Non-Hermitian Skin Effect
Chenyang Wang, Jinghui Pi, Qinxin Liu, Yaohua Li, Yong-Chun Liu
https://arxiv.org/abs/2506.22743

Non-Bloch Band Theory for 2D Geometry-Dependent Non-Hermitian Skin Effect
The non-Hermitian skin effect (NHSE), characterized by boundary-localized eigenstates under open boundary conditions, represents the key feature of the non-Hermitian lattice systems. Although the non-Bloch band theory has achieved success in depicting the NHSE in one-dimensional (1D) systems, its extension to higher dimensions encounters a fundamental hurdle in the form of the geometry-dependent skin effect (GDSE), where the energy spectra and the boundary localization of the eigenstates rely o…

Further generalization of central sets theorem for partial semigroups and vip systems
Anik Pramanick, MD Mursalim Saikh
https://arxiv.org/abs/2506.23865 ht…

Further generalization of central sets theorem for partial semigroups and vip systems
The Central Sets Theorem, a fundamental result in Ramsey theory, is a joint extension of both Hindman's theorem and van der Waerden's theorem. It was originally introduced by H. Furstenberg using methods from topological dynamics. Later, using the algebraic structure of the Stone-$Č$ech compactification $β$ S of a semigroup S, N. Hindman and V. Bergelson extended the theorem in 1990. H. Shi and H. Yang established a topological dynamical characterization of central sets in an arbitrary semigr…

This https://arxiv.org/abs/2504.10484 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Generalized Symmetries of Non-SUSY and Discrete Torsion String Backgrounds
String / M-theory backgrounds with degrees of freedom at a localized singularity provide a general template for generating strongly correlated systems decoupled from lower-dimensional gravity. There are by now several complementary procedures for extracting the associated generalized symmetry data from orbifolds of the form $\mathbb{R}^6 / Γ$, including methods based on the boundary topology of the asymptotic geometry, as well as the adjacency matrix for fermionic degrees of freedom in the qui…

Emergent Dynamics of Active Systems on Curved Environments
Euan D. Mackay, Giulia Janzen, D. A. Matoz Fernandez, Rastko Sknepnek
https://arxiv.org/abs/2505.24730

Emergent Dynamics of Active Systems on Curved Environments
Curvature plays a central role in the proper function of many biological processes. With active matter being a standard framework for understanding many aspects of the physics of life, it is natural to ask what effect curvature has on the collective behaviour of active matter. In this paper, we use the classical theory of surfaces to explore the active motion of self-propelled agents confined to move on a smooth curved two-dimensional surface embedded in Euclidean space. Even without interactio…

Pugh's global linearization for the nonautonomous unbounded system with $\mu$-dichotomy via Lyapunov theory
Lu Weijie, Xia Yonghui
https://arxiv.org/abs/2506.02855

Pugh's global linearization for the nonautonomous unbounded system with $μ$-dichotomy via Lyapunov theory
The classical global linearization theorem for autonomous system given in [C. Pugh, Amer. J. Math., 91 (1969) 363-367] requires that nonlinear system with hyperbolicity satisfies boundedness and Lipschitz continuity.In this paper, we establish an {\em unbounded} global linearization theorem for nonautonomous systems subject to unbounded Lipschitz perturbations, under the assumption that the linear system admits a nonuniform $μ$-dichotomy (more general than classical exponential dichotomy). To …

Geometric Duality Between Constraints and Gauge Fields: Mirror Symmetry and Spencer Isomorphisms of Compatible Pairs on Principal Bundles
Dongzhe Zheng
https://arxiv.org/abs/2506.00728

Geometric Duality Between Constraints and Gauge Fields: Mirror Symmetry and Spencer Isomorphisms of Compatible Pairs on Principal Bundles
This paper develops a mirror symmetry theory of Spencer cohomology within the geometric framework of constrained systems on principal bundles, revealing deep symmetric structures in constraint geometry. Based on compatible pairs $(D,λ)$ under strong transversality conditions, we construct a systematic family of mirror transformations: from basic sign mirrors $λ\mapsto -λ$ to general automorphism-induced mirrors $λ\mapsto (dϕ)^*(λ)$. Our core result proves that these transformations preser…

This https://arxiv.org/abs/2502.05808 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

Positioning-Aided Channel Estimation for Multi-LEO Satellite Cooperative Communications
We investigate a multi-low Earth orbit (LEO) satellite system that simultaneously provides positioning and communication services to terrestrial user terminals. To address the challenges of channel estimation in LEO satellite systems, we propose a novel two-timescale positioning-aided channel estimation framework, exploiting the distinct variation rates of position-related parameters and channel gains inherent in LEO satellite channels. Using the misspecified Cramér-Rao bound (MCRB) theory, we…

Skyrmions of Frustrated Quantum Dimer Systems
Fletcher Williams, David Dahlbom, Hao Zhang, Shruti Agarwal, Kipton Barros, Cristian D. Batista
https://arxiv.org/abs/2506.22320

Skyrmions of Frustrated Quantum Dimer Systems
Magnetic skyrmions are topologically protected solitons observed in various classes of real magnets. In two-dimensional systems, where the target space of local magnetization values is the two-sphere $S^2$, skyrmion textures are classified by the homotopy classes of two-loops $S^2$ in $S^2$: $Π_2(S^2) \cong Z$. Here, we demonstrate that more general topological skyrmion textures emerge in the classical limit of quantum dimer systems, where the phase space of the relevant classical theory is $\…

This https://arxiv.org/abs/2103.02626 has been replaced.
link: https://scholar.google.com/scholar?q=a

Coherent and dissipative dynamics at quantum phase transitions
The many-body physics at quantum phase transitions shows a subtle interplay between quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we first give a pedagogical introduction to the equilibrium behavior of systems in that context, whose scaling framework is essentially developed by exploiting the quantum-to-classical mapping and the renormalization-group theory of critical phenomena at continuous phase transitions. Then we specialize to protocols entailing…

Deception in Oligopoly Games via Adaptive Nash Seeking Systems
Michael Tang, Miroslav Krstic, Jorge Poveda
https://arxiv.org/abs/2505.24112 https://…

Deception in Oligopoly Games via Adaptive Nash Seeking Systems
In the theory of multi-agent systems, deception refers to the strategic manipulation of information to influence the behavior of other agents, ultimately altering the long-term dynamics of the entire system. Recently, this concept has been examined in the context of model-free Nash equilibrium seeking (NES) algorithms for noncooperative games. Specifically, it was demonstrated that players can exploit knowledge of other players' exploration signals to drive the system toward a ``deceptive" Nash…

The exchange-correlation dipole moment dispersion method
Kyle R Bryenton, Erin R Johnson
https://arxiv.org/abs/2506.02352 https://arx…

The exchange-correlation dipole moment dispersion method
Density-functional theory (DFT) has become the workhorse of modern computational chemistry, with dispersion corrections such as the exchange-hole dipole moment (XDM) model playing a key role in high-accuracy modelling of large-scale systems. Here, we introduce a new physics-guided XDM variant, termed the exchange-correlation dipole moment (XCDM) model, which supplements XDM with same- and opposite-spin dynamical correlation terms, substantially improving accuracy for molecular $C_6$ dispersion …

This https://arxiv.org/abs/2503.17274 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Composable Uncertainty in Symmetric Monoidal Categories for Design Problems
Applied category theory often studies symmetric monoidal categories (SMCs) whose morphisms represent open systems. These structures naturally accommodate complex wiring patterns, leveraging (co)monoidal structures for splitting and merging wires, or compact closed structures for feedback. A key example is the compact closed SMC of design problems (DP), which enables a compositional approach to co-design in engineering. However, in practice, the systems of interest may not be fully known. Recent…

A scalable estimator of high-order information in complex dynamical systems
Alberto Liardi, George Blackburne, Hardik Rajpal, Fernando E. Rosas, Pedro A. M. Mediano
https://arxiv.org/abs/2506.18498

A scalable estimator of high-order information in complex dynamical systems
Our understanding of neural systems rests on our ability to characterise how they perform distributed computation and integrate information. Advances in information theory have introduced several quantities to describe complex information structures, where collective patterns of coordination emerge from high-order (i.e. beyond-pairwise) interdependencies. Unfortunately, the use of these approaches to study large neural systems is severely hindered by the poor scalability of existing techniques.…

Subordinacy theory for long-range operators: hyperbolic geodesic flow insights and monotonicity theory
Zhenfu Wang, Disheng Xu, Qi Zhou
https://arxiv.org/abs/2506.23098

Subordinacy theory for long-range operators: hyperbolic geodesic flow insights and monotonicity theory
We introduce a comprehensive framework for subordinacy theory applicable to long-range operators on $\ell^2(\mathbb Z)$, bridging dynamical systems and spectral analysis. For finite-range operators, we establish a correspondence between the dynamical behavior of partially hyperbolic (Hermitian-)symplectic cocycles and the existence of purely absolutely continuous spectrum, resolving an open problem posed by Jitomirskaya. For infinite-range operators-where traditional cocycle methods become inap…

Comparison between Causal and Acausal Diffusion: a Schwinger-Keldysh Effective Field Theory Perspective
Navid Abbasi, Matthias Kaminski, Dirk H. Rischke
https://arxiv.org/abs/2506.20500

Comparison between Causal and Acausal Diffusion: a Schwinger-Keldysh Effective Field Theory Perspective
In Fick's time-honored theory of diffusion, the system responds instantaneously to external perturbations, resulting in acausal behavior. Maxwell-Cattaneo theory addresses this issue by introducing a relaxation time, rendering the diffusion process causal. We focus on systems where this relaxation time is comparable to the diffusion time and significantly larger than the relaxation times of all other non-conserved operators. In such systems, late-time diffusion is influenced by this relaxation …

Macroscopic fluctuation theory from a Lagrangian viewpoint and the Schr\"odinger problem
L. Bertini, D. Gabrielli, G. Jona-Lasinio
https://arxiv.org/abs/2506.22085

Macroscopic fluctuation theory from a Lagrangian viewpoint and the Schrödinger problem
We formulate the Schrödinger problem for interacting particle systems in the hydrodynamical regime thus extending the standard setting of independent particles. This involves the large deviations rate function for the empirical measure which is in fact a richer observable than the hydrodynamic observables density and current. In the case in which the constraints are the initial and final density, we characterize the optimal measure for the Schrödinger problem. We also introduce versions of th…

This https://arxiv.org/abs/2504.19134 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_eco…

Hua-Chen New Theory of Economic Optimization
Between 1957-1985, Chinese mathematician Loo-Keng Hua pioneered economic optimization theory through three key contributions: establishing economic stability's fundamental theorem, proving the uniqueness of equilibrium solutions in economic systems, and developing a consumption-integrated model 50 days before his death. Since 1988, Mu-Fa Chen has been working on Hua's theory. He introduced stochastics, namely Markov chains, to economic optimization theory. He updated and developed Hua's model a…

Topological phase control in Mn1-xGexBi2Te4 via spin-orbit coupling and magnetic configuration engineering
A. M. Shikin, N. L. Zaitsev, A. V. Eryzhenkov, R. V. Makeev, T. P. Estyunina, D. A. Estyunin, A. V. Tarasov
https://arxiv.org/abs/2506.00511

Topological phase control in Mn1-xGexBi2Te4 via spin-orbit coupling and magnetic configuration engineering
Magnetic topological systems based on MnBi2Te4 have recently attracted significant attention due to their rich interplay between magnetism and topological electronic states. In this work, using density functional theory (DFT), we investigate topological phase transitions (TPTs) in Mn1-xGexBi2Te4 compounds with both ferromagnetic (FM) and antiferromagnetic (AFM) ordering under variations of spin-orbit coupling (SOC) strength and uniaxial strain along the c axis. We show that the emergence of a W…

This https://arxiv.org/abs/2504.13809 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

A Fast Direct Solver for Boundary Integral Equations Using Quadrature By Expansion
We construct and analyze a hierarchical direct solver for linear systems arising from the discretization of boundary integral equations using the Quadrature by Expansion (QBX) method. Our scheme builds on the existing theory of Hierarchical Semi-Separable (HSS) matrix operators that contain low-rank off-diagonal submatrices. We use proxy-based approximations of the far-field interactions and the Interpolative Decomposition (ID) to construct compressed HSS operators that are used as fast direct …

Homotopy continuation method for solving Dyson equation fully self-consistently: theory and application to NdNiO2
Pavel Pokhilko, Dominika Zgid
https://arxiv.org/abs/2507.00290

Homotopy continuation method for solving Dyson equation fully self-consistently: theory and application to NdNiO2
Solution of the Dyson equation for the small-gap systems can be plagued by large non-converging iterations. In addition to the convergence issues, due to a high non-linearity, the Dyson equation may have multiple solutions. We apply the homotopy continuation approach to control the behavior of iterations. We used the homotopy continuation to locate multiple fully self-consistent GW solutions for NdNiO2 solid and to establish the corresponding Hartree-Fock limits. Some of the solutions found are…

Higher-order thermal transport theory for phonon thermal transport in semiconductors using lattice dynamics calculations and the Boltzmann transport equation
Ankit Jain, Yagyank Srivastava, Amey G. Gokhale, Nidheesh Virakante, Hardik L. Kagdada
https://arxiv.org/abs/2505.23307

Higher-order thermal transport theory for phonon thermal transport in semiconductors using lattice dynamics calculations and the Boltzmann transport equation
The phonon thermal conductivity of semiconducting periodic solids can be obtained using the lattice dynamics calculations along with the Boltzmann transport equation and with input from density functional theory calculations. These calculations have resulted in an excellent agreement with experiments without requiring any fitting parameters. However, over the last decade, many material systems have been identified where the lowest level lattice dynamics theory, which is based on the relaxation …

Quantifying the impact of the Tamm-Dancoff approximation on the computed spectra of transition-metal systems
Muhammed A. Dada, Sarah Pak, Matthew N. Ward, Megan Simons, Daniel R. Nascimento
https://arxiv.org/abs/2507.00314

Quantifying the impact of the Tamm-Dancoff approximation on the computed spectra of transition-metal systems
The Tamm-Dancoff Approximation (TDA) offers a computationally efficient alternative to full linear-response Time-Dependent Density Functional Theory (TDDFT) for calculating electronic excited states, particularly in large molecular systems. By neglecting the coupling between excitation and de-excitation channels, TDA simplifies the TDDFT response equations into a Hermitian form. This not only reduces computational cost but also eliminates numerical instabilities that can arise in the full non-H…

This https://arxiv.org/abs/2406.19533 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Testing quantum theory on curved space-time with quantum networks
Quantum technologies present new opportunities for fundamental tests of nature. One potential application is to probe the interplay between quantum physics and general relativity - a field of physics with no empirical evidence yet. Here we show that quantum networks open a new window to test this interface. We demonstrate how photon mediated entanglement between atomic or atom-like systems can be used to probe time-dilation induced entanglement and interference modulation. Key are non-local mea…

This https://arxiv.org/abs/2505.09543 has been replaced.
initial toot: https://mastoxiv.page/@arXi…

Learned Free-Energy Functionals from Pair-Correlation Matching for Dynamical Density Functional Theory
Classical density functional theory (cDFT) and dynamical density functional theory (DDFT) are modern statistical mechanical theories for modeling many-body colloidal systems at the one-body density level. The theories hinge on knowing the excess free-energy accurately, which is however not feasible for most practical applications. Dijkman et al. [Phys. Rev. Lett. 134, 056103 (2025)] recently showed how a neural excess free-energy functional for cDFT can be learned from bulk simulations via pair…

Switchable polarization in non-ferroelectric SrTiO$_3$
Wahib Aggoune, Matthias Scheffler
https://arxiv.org/abs/2506.01433 https://arx…

Switchable polarization in non-ferroelectric SrTiO$_3$
Perovskites with tunable and switchable polarization hold immense promise for unlocking novel functionalities. Using density-functional theory, we reveal that intrinsic defects can induce, enhance, and control polarization in non-ferroelectric perovskites, with SrTiO$_3$ as our model system. At high defect concentrations, these systems exhibit strong spontaneous polarization - comparable to that of conventional ferroelectrics. Crucially, this polarization is switchable, enabled by the inherent …

Constrained Hamiltonian Systems on Observation-Induced Fiber Bundles: Theory of Symmetry and Integrability
Dongzhe Zheng
https://arxiv.org/abs/2505.22824 h…

Constrained Hamiltonian Systems on Observation-Induced Fiber Bundles: Theory of Symmetry and Integrability
Classical constrained Hamiltonian theory assumes complete observability of system states, but in reality only partial state information is often available. This paper establishes a complete geometric theoretical framework for handling such incompletely observed systems. By introducing the concept of observation-induced fiber bundles, we naturally extend Dirac constraint theory to the fiber bundle setting, unifying the treatment of state constraints and observation constraints. Main results incl…

Reducible Iterated Graph Systems: multiscale-freeness and multifractals
Nero Ziyu Li, Frank Xin Hu, Thomas Britz
https://arxiv.org/abs/2506.18073 https://

Reducible Iterated Graph Systems: multiscale-freeness and multifractals
Iterated Graph Systems (IGS) aims to transplant ideas from fractal geometry into graph theory. Building on this framework, we extend Edge IGS from the primitive to the reducible setting. Within this broader context, we formulate rigorous definitions of multifractality and multiscale-freeness for graph fractals, and we establish conditions that are equivalent to the occurrence of these two phenomena. We further determine the corresponding fractal and degree spectra, proving that both are finite …

Predictability of quantum observables: Applications in QKD and top quarks
Dennis I. Mart\'inez-Moreno, Miguel Castillo-Celeita, Diego G. Bussandri
https://arxiv.org/abs/2505.24502

Predictability of quantum observables: Applications in QKD and top quarks
We quantify and optimize the predictability of local observables in bipartite quantum systems by employing the Bayes risk and the inference variance, two measures rooted in statistical learning theory. Specifically, we minimized these quantities when the prediction is improved by an additional quantum system, providing analytical expressions for arbitrary two-qubit states, and showcasing a connection with Einstein-Podolsky-Rosen steering criteria. Then, we embed our Bayes risk minimization into…

This https://arxiv.org/abs/2504.14483 has been replaced.
initial toot: https://mastoxiv.page/@arX…

$Σ$-Attention: A Transformer-based operator learning framework for self-energy in strongly correlated systems
We introduce $Σ$-Attention, a Transformer-based operator-learning framework to address a key computational challenge in correlated materials. Our approach utilizes an Encoder-Only Transformer as an ansatz to approximate the self-energy operator of strongly correlated electronic systems. By creating a batched dataset that combines results from three complementary approaches: many-body perturbation theory, strong-coupling expansion, and exact diagonalization, each effective in specific parameter…

On the subsystems 0f certain almost Markov shifts
Wolfgang Krieger
https://arxiv.org/abs/2507.02717 https://arxiv.org/pdf/2507.02717

On the subsystems 0f certain almost Markov shifts
For an aperiodic subshift of finite type Y and for a subshift X with topological entropy less than the topological entropy of Y, it was proved in Krieger: On the subsystems of topological Markov chains, Ergodic theory and dynamical systems 1982, 2, 195-202, that the necessary condition on the periodic points of X and Y for the existence of an embedding of X int Y is also sufficient for the existence of an embedding of X into Y. In this note we extend this theorem to a certain class of almost Ma…

A fast algorithm for 2D Rigidity Percolation
Nina Javerzat, Daniele Notarmuzi
https://arxiv.org/abs/2507.00741 https://arxiv.org/pdf/…

A fast algorithm for 2D Rigidity Percolation
Rigidity Percolation is a crucial framework for describing rigidity transitions in amorphous systems. We present a new, efficient algorithm to study central-force Rigidity Percolation in two dimensions. This algorithm combines the Pebble Game algorithm, the Newman-Ziff approach to Connectivity Percolation, as well as novel rigorous results in rigidity theory, to exactly identify rigid clusters over the full bond concentration range, in a time that scales as $N^{1.02}$ for a system of $N$ nodes.…

Categorical Lyapunov Theory II: Stability of Systems
Aaron D. Ames, S\'ebastien Mattenet, Joe Moeller
https://arxiv.org/abs/2505.22968 https://

Categorical Lyapunov Theory II: Stability of Systems
Lyapunov's theorem provides a foundational characterization of stable equilibrium points in dynamical systems. In this paper, we develop a framework for stability for F-coalgebras. We give two definitions for a categorical setting in which we can study the stability of a coalgebra for an endofunctor F. One is minimal and better suited for concrete settings, while the other is more intricate and provides a richer theory. We prove a Lyapunov theorem for both notions of setting for stability, and …

This https://arxiv.org/abs/2505.14571 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Dynamic correlations of frustrated quantum spins from high-temperature expansion
For quantum spin systems in equilibrium, the dynamic structure factor (DSF) is among the most feature-packed experimental observables. However, from a theory perspective it is often hard to simulate in an unbiased and accurate way, especially for frustrated and high-dimensional models at intermediate temperature. We address this challenge by introducing a dynamic extension of the high-temperature expansion as an efficient numerical approach to the DSF for arbitrary lattices. We focus on the nea…

Non-Euclidean Enriched Contraction Theory for Monotone Operators and Monotone Dynamical Systems
Diego Deplano, Sergio Grammatico, Mauro Franceschelli
https://arxiv.org/abs/2506.17990

Non-Euclidean Enriched Contraction Theory for Monotone Operators and Monotone Dynamical Systems
We adopt an operator-theoretic perspective to analyze a class of nonlinear fixed-point iterations and discrete-time dynamical systems. Specifically, we study the Krasnoselskij iteration - at the heart of countless algorithmic schemes and underpinning the stability analysis of numerous dynamical models - by focusing on a non-Euclidean vector space equipped with the diagonally weighted supremum norm. By extending the state of the art, we introduce the notion of enriched weak contractivity, which …

Non-Relativistic Anisotropic Magnetoresistance with Collinear and Non-Collinear Magnetic Order
Philipp Ritzinger, Ond\v{r}ej Sedl\'a\v{c}ek, Jakub \v{Z}elezn\'y, Karel V\'yborn\'y
https://arxiv.org/abs/2506.22115

Non-Relativistic Anisotropic Magnetoresistance with Collinear and Non-Collinear Magnetic Order
Anisotropic magnetoresistance (AMR) arises from symmetry lowering of the conductivity tensor induced by magnetic order. In simple ferromagnets, AMR is a relativistic effect, relying on spin-orbit interaction (SOC). Here, we demonstrate that a comparable symmetry lowering can also occur in a non-relativistic limit. Using tight-binding models, density functional theory calculations, and Boltzmann transport theory, we investigate systems with multiple magnetic sublattices, including both collinear…

Purely quantum memory in closed systems observed via imperfect measurements
Jorge Tabanera-Bravo, Alja\v{z} Godec
https://arxiv.org/abs/2506.13689 https://…

Purely quantum memory in closed systems observed via imperfect measurements
The detection and quantification of non-Markovianity, a.k.a. memory, in quantum systems is a central problem in the theory of open quantum systems. There memory is as a result of the interaction between the system and its environment. Little is known, however, about memory effects induced by imperfect measurements on closed systems, where an entanglement with the environment is not possible. We investigate the emergence and characteristics of memory in closed systems observed via imperfect stro…

Statistical theory of charged particle systems including triple bound states -- and the Collaboration Lviv-Rostock
W. Ebeling
https://arxiv.org/abs/2506.16338

Statistical theory of charged particle systems including triple bound states -- and the Collaboration Lviv-Rostock
Honoring the hundredth anniversary of the birthday of Ihor R. Yuknovskii we analyze new developments in the statistical thermodynamics of Coulomb systems. The basic idea of this work is to demonstrate that the exponential potential used in the first papers of Yukhnovskii is an appropriate reference system for a description of classical and quantum charged particle systems. We briefly discuss the collaboration between the groups of Ihor R. Yuknovskii in Lviv and Günter Kelbg in Rostock and anal…

Causal Decompositions of 1D Quantum Cellular Automata
Augustin Vanrietvelde, Octave Mestoudjian, Pablo Arrighi
https://arxiv.org/abs/2506.22219 https://

Causal Decompositions of 1D Quantum Cellular Automata
Understanding quantum theory's causal structure stands out as a major matter, since it radically departs from classical notions of causality. We present advances in the research program of causal decompositions, which investigates the existence of an equivalence between the causal and the compositional structures of unitary channels. Our results concern one-dimensional Quantum Cellular Automata (1D QCAs), i.e. unitary channels over a line of $N$ quantum systems (with or without periodic boundar…

Stochastic stability of physical measures in conservative systems
Weiwei Qi, Zhongwei Shen, Yingfei Yi
https://arxiv.org/abs/2506.17598 https://

Stochastic stability of physical measures in conservative systems
Given the significance of physical measures in understanding the complexity of dynamical systems as well as the noisy nature of real-world systems, investigating the stability of physical measures under noise perturbations is undoubtedly a fundamental issue in both theory and practice. The present paper is devoted to the stochastic stability of physical measures for conservative systems on a smooth, connected, and closed Riemannian manifold. It is assumed that a conservative system admits an …