Tootfinder

Information in quantum field theory simulators: Thin-film superfluid helium
Maciej T. Jarema, Cameron R. D. Bunney, Vitor S. Barroso, Mohammadamin Tajik, Chris Goodwin, Silke Weinfurtner
https://arxiv.org/abs/2508.07247

Information in quantum field theory simulators: Thin-film superfluid helium
Understanding quantum correlations through information-theoretic measures is fundamental to developments in quantum field theory, quantum information, and quantum many-body physics. A central feature in a plethora of systems is the area law, under which information scales with the size of the boundary of the system, rather than volume. Whilst many systems and regimes exhibiting an area law have been identified theoretically, experimental verification remains limited, particularly in continuous …

Non-integrability of the Critical Systems for Optimal Sums of Eigenvalues of Sturm-Liouville Operators
Yuzhou Tian, Meirong Zhang
https://arxiv.org/abs/2509.09250 https://

Non-integrability of the Critical Systems for Optimal Sums of Eigenvalues of Sturm-Liouville Operators
The optimal lower or upper bounds for sums of the first $m$ eigenvalues of Sturm-Liouville operators can be obtained by solving the corresponding critical systems, which are Hamiltonian systems of $m$ degrees of freedom with $m$ parameters. With the help of the differential Galois theory, we prove that these critical systems are not meromorphic integrable except for two known completely integrable cases. The non-integrability of the critical systems reveal certain complexities for the original …

Distributed Unknown Input Observer Design with Relaxed Conditions: Theory and Application to Vehicle Platooning
Ruixuan Zhao, Guitao Yang, Thomas Parisini, Boli Chen
https://arxiv.org/abs/2509.08783

Distributed Unknown Input Observer Design with Relaxed Conditions: Theory and Application to Vehicle Platooning
Designing observers for linear systems with both known and unknown inputs is an important problem in several research contexts, for example, fault diagnosis and fault-tolerant control, and cyber-secure control systems, and presents significant challenges in distributed state estimation due to the limited sensing capabilities of individual nodes. Existing methods typically impose an individual input-to-output rank condition on each estimator node, which severely restricts applicability in practi…

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory
Vladimir Bashmakov, Askar Iliasov, Tom\'a\v{s} Bzdu\v{s}ek, Andrey A. Bagrov
https://arxiv.org/abs/2509.09330

Superconductivity in hyperbolic spaces: Regular hyperbolic lattices and Ginzburg-Landau theory
We study $s$-wave superconductivity in hyperbolic spaces using the Bogoliubov-de Gennes theory for discrete hyperbolic lattices and the Ginzburg-Landau theory for the continuous hyperbolic plane. Hyperbolic lattices maintain a finite fraction of boundary sites regardless of system size, thus fundamentally altering superconductivity through enhanced boundary effects absent in flat space. Within the BCS framework for hyperbolic lattices, uniform systems reproduce standard bulk behavior, whereas f…

Totally normal night:
1. Scratching the cat.
2. The first continuous sleep, ending with a #nightmare. I've dreamt that my first return train was delayed, and I'm likely to be stuck in Głogów. On top of that, the train looked looked like a nightmare contraption, with a sequence of cubic compartments with no seats, and weirdly shaped holes in the walls instead of doors.
3. Toilet.
4. Checking blood sugar, just in case.
5. Looking for a spot in the bed that's free of sweat.
6. Scratching the cat.
7. A series of nightmares. The most interesting one was about getting up in the morning, in middle of a gale. The mains voltage was so low I couldn't turn the lights on, and instead of getting myself ready to go out, I was trying hard to measure it, helping myself with a flashlight.
My working theory is that these are side effects of my current medication. One week to go.

Envy-Free but Still Unfair: Envy-Freeness Up To One Item (EF-1) in Personalized Recommendation
Amanda Aird, Ben Armstrong, Nicholas Mattei, Robin Burke
https://arxiv.org/abs/2509.09037

Envy-Free but Still Unfair: Envy-Freeness Up To One Item (EF-1) in Personalized Recommendation
Envy-freeness and the relaxation to Envy-freeness up to one item (EF-1) have been used as fairness concepts in the economics, game theory, and social choice literatures since the 1960s, and have recently gained popularity within the recommendation systems communities. In this short position paper we will give an overview of envy-freeness and its use in economics and recommendation systems; and illustrate why envy is not appropriate to measure fairness for use in settings where personalization p…

Auxiliary space theory for the analysis of iterative methods for semidefinite linear systems
Jongho Park, Jinchao Xu
https://arxiv.org/abs/2509.07179 https://

Auxiliary space theory for the analysis of iterative methods for semidefinite linear systems
We present an auxiliary space theory that provides a unified framework for analyzing various iterative methods for solving linear systems that may be semidefinite. By interpreting a given iterative method for the original system as an equivalent, yet more elementary, iterative method for an auxiliary system defined on a larger space, we derive sharp convergence estimates using elementary linear algebra. In particular, we establish identities for the error propagation operator and the condition …

Exact solution for the current generated by dissipative master equation in single-band tight-binding systems subject to time-dependent uniform electric fields
J. M. Alendouro Pinho, B. Amorim, J. M. Viana Parente Lopes
https://arxiv.org/abs/2510.08021

Exact solution for the current generated by dissipative master equation in single-band tight-binding systems subject to time-dependent uniform electric fields
The theory of open quantum systems is one of the most essential tools for the development of quantum technologies. A particular area of interest is in the optical response of solid state systems, where dissipation is introduced phenomenologically through the relaxation time approximation and its effects are usually gauged perturbatively. Analytical exact results for driven systems under this approximation are scarce and tipically pertain only to the stationary regime. Here, we obtain the analyt…

Leveraging AI Agents for Autonomous Networks: A Reference Architecture and Empirical Studies
Binghan Wu, Shoufeng Wang, Yunxin Liu, Ya-Qin Zhang, Joseph Sifakis, Ye Ouyang
https://arxiv.org/abs/2509.08312

Leveraging AI Agents for Autonomous Networks: A Reference Architecture and Empirical Studies
The evolution toward Level 4 (L4) Autonomous Networks (AN) represents a strategic inflection point in telecommunications, where networks must transcend reactive automation to achieve genuine cognitive capabilities--fulfilling TM Forum's vision of self-configuring, self-healing, and self-optimizing systems that deliver zero-wait, zero-touch, and zero-fault services. This work bridges the gap between architectural theory and operational reality by implementing Joseph Sifakis's AN Agent reference …

Index theory and bulk-boundary correspondence for inversion-symmetric second-order topological insulators
Shin Hayashi
https://arxiv.org/abs/2509.09240 https://

Index theory and bulk-boundary correspondence for inversion-symmetric second-order topological insulators
We provide an index-theoretic proof of the bulk-boundary correspondence for two- and three-dimensional second-order topological insulators that preserve inversion symmetry, which are modeled as rectangles and rectangular prism-shaped systems. Our method uses extensions of the symbols of some Toeplitz operators on discrete quarter planes and computations of topological equivariant K-theory groups.

Integrating Quantum Computing with Multiconfiguration Pair-Density Functional Theory for Biological Electron Transfer
Yibo Chen, Zirui Sheng, Weitang Li, Yong Zhang, Xun Xu, Jun-Han Huang, Yuxiang Li
https://arxiv.org/abs/2508.07359

Integrating Quantum Computing with Multiconfiguration Pair-Density Functional Theory for Biological Electron Transfer
Accurate calculation of strongly correlated electronic systems requires proper treatment of both static and dynamic correlations, which remains challenging for conventional methods. To address this, we present VQE-PDFT, a quantum-classical hybrid framework that integrates variational quantum eigensolver with multiconfiguration pair-density functional theory (MC-PDFT). This framework strategically employs quantum circuits for multiconfigurational wavefunction representation while utilizing densi…

Can LLMs effectively provide game-theoretic-based scenarios for cybersecurity?
Daniele Proverbio, Alessio Buscemi, Alessandro Di Stefano, The Anh Han, German Castignani, Pietro Li\`o
https://arxiv.org/abs/2508.05670

Can LLMs effectively provide game-theoretic-based scenarios for cybersecurity?
Game theory has long served as a foundational tool in cybersecurity to test, predict, and design strategic interactions between attackers and defenders. The recent advent of Large Language Models (LLMs) offers new tools and challenges for the security of computer systems; In this work, we investigate whether classical game-theoretic frameworks can effectively capture the behaviours of LLM-driven actors and bots. Using a reproducible framework for game-theoretic LLM agents, we investigate two ca…

Beyond the Binary: The System of All-round Evaluation of Research and Its Practices in China
Yu Zhu, Jiyuan Ye
https://arxiv.org/abs/2509.08546 https://arx…

Beyond the Binary: The System of All-round Evaluation of Research and Its Practices in China
The lack of a macro-level, systematic evaluation theory to guide the implementation of evaluation practices has become a key bottleneck in the reform of global research evaluation systems. By reviewing the historical development of research evaluation, this paper highlights the current binary opposition between qualitative and quantitative methods in evaluation practices. This paper introduces the System of All-round Evaluation of Research (SAER), a framework that integrates form, content, and …

Asymptotics of the Hankel determinant and orthogonal polynomials arising from the information theory of MIMO systems
Chao Min, Xiaoqing Wu
https://arxiv.org/abs/2510.06739 https…

Asymptotics of the Hankel determinant and orthogonal polynomials arising from the information theory of MIMO systems
We consider the Hankel determinant and orthogonal polynomials with respect to the deformed Laguerre weight $$ w(x; t) = {x^α}{\mathrm e^{ - x}}{(x + t)^λ},\qquad x\in \mathbb{R}^{+}, $$ with parameters $α> -1,\; t > 0$ and $λ\in \mathbb{R}$. This problem originates from the information theory of single-user multiple-input multiple-output (MIMO) systems studied by Chen and McKay [{\em IEEE Trans. Inf. Theory} {\bf 58} ({2012}) {4594--4634}]. By using the ladder operators for orthogonal polyn…

KoopMotion: Learning Almost Divergence Free Koopman Flow Fields for Motion Planning
Alice Kate Li, Thales C Silva, Victoria Edwards, Vijay Kumar, M. Ani Hsieh
https://arxiv.org/abs/2509.09074

KoopMotion: Learning Almost Divergence Free Koopman Flow Fields for Motion Planning
In this work, we propose a novel flow field-based motion planning method that drives a robot from any initial state to a desired reference trajectory such that it converges to the trajectory's end point. Despite demonstrated efficacy in using Koopman operator theory for modeling dynamical systems, Koopman does not inherently enforce convergence to desired trajectories nor to specified goals -- a requirement when learning from demonstrations (LfD). We present KoopMotion which represents motion f…

A Complete Derivation of Complex Circle Manifold (CCM) Riemannian manifold Optimization Equations
Amirreza Tabrizi, Mohammad Hadi Mirmohammadi
https://arxiv.org/abs/2508.07396 h…

A Complete Derivation of Complex Circle Manifold (CCM) Riemannian manifold Optimization Equations
After reviewing manifold optimization techniques in applications like MIMO communication systems, phased array beamforming, radar, and control theory, we observed that the Complex Circle Manifold (CCM) is widely employed, yet its foundational relations and equations lack a rigorous, self-contained derivation in the literature. This paper provides a systematic and rigorous proof of CCM's key properties, including its tangent space and Riemannian gradient operations, with explicit connections to …

Effective one-body theory of spinless binary evolution dynamics
Jiliang Jing, Sheng Long, Weike Deng, Jieci Wang
https://arxiv.org/abs/2509.06448 https://a…

Effective one-body theory of spinless binary evolution dynamics
The effective one-body (EOB) theory provides an innovative framework for analyzing the dynamics of binary systems, as articulated by Hamilton's equations. This paper investigates a self-consistent EOB theory specifically tailored for the dynamics of such systems. Our methodology begins by emphasizing how to effectively utilize the metrics derived from scattering angles in the analysis of binary black hole mergers. We then construct an effective Hamiltonian and formulate a decoupled, variable-se…

Replaced article(s) found for math.ST. https://arxiv.org/list/math.ST/new
[1/1]:
- On the Sample Complexity of Set Membership Estimation for Linear Systems with Disturbances Bounde...
Haonan Xu, Yingying Li

Lyapunov stability analysis of the chaotic flow past two square cylinders
Sidhartha Sahu, George Papadakis
https://arxiv.org/abs/2508.05892 https://arxiv.o…

Lyapunov stability analysis of the chaotic flow past two square cylinders
We investigate the stability of the flow past two side-by-side square cylinders (at Reynolds number 200 and gap ratio 1) using tools from dynamical systems theory. The flow is highly irregular due to the complex interaction between the flapping jet emanating from the gap and the vortices shed in the wake. We first perform Spectral Proper Orthogonal Decomposition (SPOD) to understand the flow characteristics. We then conduct Lyapunov stability analysis by linearizing the Navier-Stokes equations …

A quantum computing approach to efficiently simulating correlated materials using impurity models and dynamical mean field theory
Norman Hogan, Efekan K\"okc\"u, Thomas Steckmann, Liam P. Doak, Carlos Mejuto-Zaera, Daan Camps, Roel Van Beeumen, Wibe A. de Jong, A. F. Kemper
https://arxiv.org/abs/2508.05738

A quantum computing approach to efficiently simulating correlated materials using impurity models and dynamical mean field theory
The accurate theoretical description of materials with strongly correlated electrons is a formidable challenge, at the forefront of condensed matter physics and computational chemistry alike, and it is one of the targets for quantum computing. Dynamical Mean Field Theory (DMFT) is a successful approach that predicts behaviors of such systems by incorporating some correlated behavior, but it is limited by the need to calculate the Green's function for the impurity model. This work proposes a fra…

Positivity bounds from thermal field theory entropy
Xin-Yi Liu, Yongjun Xu
https://arxiv.org/abs/2509.06630 https://arxiv.org/pdf/2509.06630

Positivity bounds from thermal field theory entropy
We present a novel approach to deriving positivity bounds on effective field theories by analyzing the thermodynamic behavior of thermal quantum field systems. Focusing on scalar theories with higher-dimensional operators, we compute the finite-temperature entropy using thermal field theory techniques. We argue that consistency with fundamental thermodynamic principles-specifically, the expectation that entropy increases with the introduction of new degrees of freedom-imposes nontrivial constra…

Extending Games beyond the Finite Horizon
Kiri Sakahara, Takashi Sato
https://arxiv.org/abs/2510.08453 https://arxiv.org/pdf/2510.08453

Extending Games beyond the Finite Horizon
This paper argues that the finite horizon paradox, where game theory contradicts intuition, stems from the limitations of standard number systems in modelling the cognitive perception of infinity. To address this issue, we propose a new framework based on Alternative Set Theory (AST). This framework represents different cognitive perspectives on a long history of events using distinct topologies. These topologies define an indiscernibility equivalence that formally treats huge, indistinguishabl…

Contradictions
Yang Xu, Shuwei Chen, Xiaomei Zhong, Jun Liu, Xingxing He
https://arxiv.org/abs/2509.07026 https://arxiv.org/pdf/2509.07026

Contradictions
Trustworthy AI requires reasoning systems that are not only powerful but also transparent and reliable. Automated Theorem Proving (ATP) is central to formal reasoning, yet classical binary resolution remains limited, as each step involves only two clauses and eliminates at most two literals. To overcome this bottleneck, the concept of standard contradiction and the theory of contradiction-separation-based deduction were introduced in 2018. This paper advances that framework by focusing on the s…

Decoupling Correctness from Policy: A Deterministic Causal Structure for Multi-Agent Systems
Zhiyuan Ren, Tao Zhang, Wenchi Chen
https://arxiv.org/abs/2510.05621 https://…

Decoupling Correctness from Policy: A Deterministic Causal Structure for Multi-Agent Systems
In distributed multi-agent systems, correctness is often entangled with operational policies such as scheduling, batching, or routing, which makes systems brittle since performance-driven policy evolution may break integrity guarantees. This paper introduces the Deterministic Causal Structure (DCS), a formal foundation that decouples correctness from policy. We develop a minimal axiomatic theory and prove four results: existence and uniqueness, policy-agnostic invariance, observational equivale…

When Light Bends to the Collective Will: A Theory and Vision for Adaptive Photonic Scale-up Domains
Vamsi Addanki
https://arxiv.org/abs/2510.08072 https://…

When Light Bends to the Collective Will: A Theory and Vision for Adaptive Photonic Scale-up Domains
As chip-to-chip silicon photonics gain traction for their bandwidth and energy efficiency, collective communication has emerged as a critical bottleneck in scale-up systems. Programmable photonic interconnects offer a promising path forward: by dynamically reconfiguring the fabric, they can establish direct, high-bandwidth optical paths between communicating endpoints -- \emph{synchronously and guided by the structure of collective operations} (e.g., AllReduce). However, realizing this vision -…

Structural stability for the bidirectional cyclic negative feedback systems
Xu Cheng, Yi Wang, Dun Zhou
https://arxiv.org/abs/2510.07702 https://arxiv.org/…

Structural stability for the bidirectional cyclic negative feedback systems
The present paper investigates the structural stability of bidirectional cyclic negative feedback systems. To address this, we develop a generalized Floquet theory and construct nested invariant cones for the systems. Subsequently, we demonstrate that the Poincaré-Bendixson property for the limit set persists under $C^1$-perturbations. By applying the generalized Floquet theory and the nested invariant cones, we establish that the stable and unstable manifolds of any two connecting hyperbolic …

Superfluidity in Fermi systems within the framework of Density Functional Theory
Piotr Magierski
https://arxiv.org/abs/2510.07410 https://arxiv.org/pdf/251…

Superfluidity in Fermi systems within the framework of Density Functional Theory
This review is based on lectures given by the author at the Enrico Fermi Summer School in Varenna. It presents the basics of Density Functional Theory (DFT) for Fermi superfluids, with particular emphasis on nuclear systems. Special attention is given to the foundations of both DFT and time-dependent DFT (TDDFT). The review explores the advantages and challenges involved in the practical application of TDDFT to superfluid systems, as well as the typical approximations employed. Various applicat…

Anarcho-syndicalism is the belief that workers, as the fundamental producers of social value, must seize control of the means of production through direct action and autonomous organization. It rejects both capitalist private ownership and state-controlled systems, arguing instead for a decentralized federation of worker-managed industries. From my perspective, anarcho-syndicalism is not merely an economic strategy but a revolutionary theory of social transformation, one that places the work…

Data-driven discovery of dynamical models in biology
Bartosz Prokop, Lendert Gelens
https://arxiv.org/abs/2509.06735 https://arxiv.org/pdf/2509.06735

Data-driven discovery of dynamical models in biology
Dynamical systems theory describes how interacting quantities change over time and space, from molecular oscillators to large-scale biological patterns. Such systems often involve nonlinear feedbacks, delays, and interactions across scales. Classical modeling derives explicit governing equations, often systems of differential equations, by combining mechanistic assumptions, experimental observations, and known physical laws. The growing complexity of biological processes has, however, motivated…

Sample-Efficient Online Control Policy Learning with Real-Time Recursive Model Updates
Zixin Zhang, James Avtges, Todd D. Murphey
https://arxiv.org/abs/2509.08241 https://

Sample-Efficient Online Control Policy Learning with Real-Time Recursive Model Updates
Data-driven control methods need to be sample-efficient and lightweight, especially when data acquisition and computational resources are limited -- such as during learning on hardware. Most modern data-driven methods require large datasets and struggle with real-time updates of models, limiting their performance in dynamic environments. Koopman theory formally represents nonlinear systems as linear models over observables, and Koopman representations can be determined from data in an optimizat…

Spin-Orbit Coupling Effect on the Seebeck Coefficient in Dirac Electron Systems in $\alpha$-(BETS)$_2$I$_3$
Yoshikazu Suzumura, Takao Tsumuraya, Masao Ogata
https://arxiv.org/abs/2509.07349

Spin-Orbit Coupling Effect on the Seebeck Coefficient in Dirac Electron Systems in $α$-(BETS)$_2$I$_3$
Seebeck coefficient, $S=L_{12}/(TL_{11})$, which is proportional to a ratio of the thermoelectric conductivity $L_{12}$ to the electric conductivity $L_{11}$ with $T$ being temperature is examined for two-dimensional Dirac electrons in a three-quarter filled organic conductor, $α$-(BETS)$_2$I$_3$, [BETS = BEDT-TSeF = bis(ethylenedithio)tetraselenafulvalene] at ambient pressure.Using a tight-binding (TB) model obtained by first-principles relativistic density-functi onal theory method [Eur. Phy…

Port-Hamiltonian Neural Networks: From Theory to Simulation of Interconnected Stochastic Systems
Luca Di Persio, Matthias Ehrhardt, Youness Outaleb, Sofia Rizzotto
https://arxiv.org/abs/2509.06674

Port-Hamiltonian Neural Networks: From Theory to Simulation of Interconnected Stochastic Systems
This work introduces a new framework integrating port-Hamiltonian systems (PHS) and neural network architectures. This framework bridges the gap between deterministic and stochastic modeling of complex dynamical systems. We introduce new mathematical formulations and computational methods that expand the geometric structure of PHS to account for uncertainty, environmental noise, and random perturbations. Building on these advances, we introduce stochastic port-Hamiltonian neural networks (pHNNs…

Multiport Network Modeling and Optimization for Reconfigurable Pinching-Antenna Systems
Zhaolin Wang, Jiaqi Xu, Chongjun Ouyang, Xidong Mu, Yuanwei Liu
https://arxiv.org/abs/2509.05612

Multiport Network Modeling and Optimization for Reconfigurable Pinching-Antenna Systems
A reconfigurable pinching-antenna system (PASS) is presented, endowing pinching antennas (PAs) with both amplitude- and phase-controllable radiation beyond conventional implementations. To characterize this feature, a general and physically consistent model is established for PASS via multiport network theory. Within this model, the fundamental constraint of ideal reconfigurability of PAs is identified, allowing the full control of signal amplitudes and phases. A practical directional-coupler (…

Kondo echo dynamics of terahertz-pumped heavy fermions
Francisco Meirinhos, Michael Turaev, Michael Kajan, Tim Bode, Johann Kroha
https://arxiv.org/abs/2509.07117 https://

Kondo echo dynamics of terahertz-pumped heavy fermions
We provide a theoretical framework to describe the nonequilibrium temporal dynamics of correlated electron systems for realistic system parameters and the consequent, often exponentially long time scales. It is based on an entirely integro-differential formulation of time-dependent dynamical mean-field theory, the noncrossing approximation, and the quantum representation of a driving electromagnetic field. For heavy-fermion systems, we identify two key nonequilibrium mechanisms governing their …

Error Breakdown and Sensitivity Analysis of Dynamical Quantities in Markov State Models
Yehor Tuchkov, Luke Evans, Sonya M. Hanson, Erik H. Thiede
https://arxiv.org/abs/2508.06735

Error Breakdown and Sensitivity Analysis of Dynamical Quantities in Markov State Models
Markov state models (MSMs) are widely employed to analyze the kinetics of complex systems. But despite their effectiveness in many applications, MSMs are prone to systematic or statistical errors, often exacerbated by suboptimal hyperparameter choice. In this paper, we attempt to understand how these choices affect the error of estimates of mean first-passage times and committors, key quantities in chemical rate theory. We first evaluate the performance of the recently introduced "stopped-proce…

Integrable systems with symmetries: toric, semitoric, and beyond
Joseph Palmer
https://arxiv.org/abs/2510.05337 https://arxiv.org/pdf/2510.05337

Integrable systems with symmetries: toric, semitoric, and beyond
This article presents an overview of the theory of integrable systems with symmetries, focusing on toric systems, semitoric systems, and their classifications via decorated polygons. We discuss certain one-parameter families of integrable systems called semitoric families, and explain how deforming systems through controlled bifurcations in such families (and their generalizations) can be used to construct explicit semitoric systems with prescribed invariants. The first part of the paper serves…

Path Integral Approach to Input-Output Theory
Aaron Daniel, Matteo Brunelli, Aashish A. Clerk, Patrick P. Potts
https://arxiv.org/abs/2509.07563 https://ar…

Path Integral Approach to Input-Output Theory
Input-output theory is a well-known tool in quantum optics and ubiquitous in the description of quantum systems probed by light. Owing to the generality of the setup it describes, the theory finds application in a wide variety of experiments in circuit and cavity QED. We present an approach to input-output theory using the Schwinger-Keldysh path integral formalism that gives us direct access to the full output field statistics such as the first and second order coherence functions. By making th…

Testing the Role of Merging Binaries in the Formation of the Split Main Sequence in Young Clusters
Nate Bastian, Sebastian Kamann, Florian Niederhofer, Sara Saracino
https://arxiv.org/abs/2509.07708

Testing the Role of Merging Binaries in the Formation of the Split Main Sequence in Young Clusters
A number of theories have been put forward to explain the bi-modal stellar rotational distribution observed in young massive clusters. These include stellar mergers and interactions induced in binary systems, and the role of angular momentum transfer between a star and its circumstellar disk in its early evolution. Each theory predicts unique rotation distributions in various locations of the colour-magnitude diagram. Specifically, the stellar merger hypothesis posits that the upper end of the …

Guided by the Experts: Provable Feature Learning Dynamic of Soft-Routed Mixture-of-Experts
Fangshuo Liao, Anastasios Kyrillidis
https://arxiv.org/abs/2510.07205 https://

Guided by the Experts: Provable Feature Learning Dynamic of Soft-Routed Mixture-of-Experts
Mixture-of-Experts (MoE) architectures have emerged as a cornerstone of modern AI systems. In particular, MoEs route inputs dynamically to specialized experts whose outputs are aggregated through weighted summation. Despite their widespread application, theoretical understanding of MoE training dynamics remains limited to either separate expert-router optimization or only top-1 routing scenarios with carefully constructed datasets. This paper advances MoE theory by providing convergence guarant…

A spacetime-covariant approach to inertial and accelerated quantum clocks in first-quantization
Eduardo A. B. Oliveira, Andre G. S. Landulfo
https://arxiv.org/abs/2508.05897 htt…

A spacetime-covariant approach to inertial and accelerated quantum clocks in first-quantization
It is expected that a quantum theory of gravity will radically alter our current notion of spacetime geometry. However, contrary to what was commonly assumed for many decades, quantum gravity effects could manifest in scales much larger than the Planck Scale, provided that there is enough coherence in the superposition of geometries. Quantum Clocks, i.e. quantum mechanical systems whose internal dynamics can keep track of proper-time lapses, are a very promising tool for probing such low-energy…

Lattice calculation of the Sn isotopes near the proton dripline
Fabian Hildenbrand, Serdar Elhatisari, Ulf-G. Mei{\ss}ner, Helen Meyer, Zhengxue Ren, Andreas Herten, Mathis Bode
https://arxiv.org/abs/2509.08579

Lattice calculation of the Sn isotopes near the proton dripline
We present the first $\textit{ab initio}$ lattice calculations of the proton-rich tin isotopes $^{99}$Sn to $^{102}$Sn using nuclear lattice effective field theory with high-fidelity two- and three-nucleon forces. For a given set of three-nucleon couplings, we reproduce binding energies with $\sim 1\%$ accuracy for the even-even systems, and obtain energy splitting and two-nucleon separation energies in agreement with experiment. Our results confirm the $N=50$ shell closure and reveal that the …

Theory of Localized States in Quasiperiodic Lattices
Jin-Rong Chen, Xin-Yu Guo, Shi-Ping Ding, Tian-Le Wu, Miao Liang, Jin-Hua Gao, X. C. Xie
https://arxiv.org/abs/2509.05950 ht…

Theory of Localized States in Quasiperiodic Lattices
The physics of localized states in quasiperiodic lattices has been extensively studied for decades, but still lacks an comprehensive theoretical framework. Recently, we developed a incommensurate energy band (IEB) theory, which extends the concept of energy bands to quasiperiodic systems lacking translational symmetry, thereby achieving a breakthrough in elucidating extended states. Here, we demonstrate that, due to the inherent duality between momentum and real space, the IEB theory also offer…

Kinetic field theory of compact systems
Matthias Bartelmann, James Stokes
https://arxiv.org/abs/2509.02459 https://arxiv.org/pdf/2509.02459

Kinetic field theory of compact systems
The kinetic field theory is developed without assumptions of statistical homogeneity and isotropy. In a solvable toy model with short-ranged interactions, we compare first-order perturbation theory to an iterated mean-field approximation scheme, demonstrating that the mean-field theory maintains positivity and captures collapse dynamics, allowing analytic estimates of blow-up times. In a self-gravitating sheet model, the first-order perturbation theory is shown to reproduce critical phenomena. …

Duality theory of tautological systems
Paul G\"orlach, Christian Sevenheck
https://arxiv.org/abs/2510.01980 https://arxiv.org/pdf/2510.01980

Duality theory of tautological systems
We discuss the holonomic dual of tautological systems, with a view towards applications to linear free divisors and to homogeneous spaces. As a technical tool, we consider a Chevalley--Eilenberg type complex, generalizing Euler--Koszul technology from the GKZ theory, and show equivariance and holonomicity of it.

{\Delta}SCF Excitation Energies Up a Ladder of Ground-State Density Functionals
Ethan Pollack, Rohan Maniar, John P. Perdew
https://arxiv.org/abs/2508.07482 https://

ΔSCF Excitation Energies Up a Ladder of Ground-State Density Functionals
Density functional theory (DFT) is a widespread and effective tool in electronic structure calculations for ground-state electron systems. Its success has prompted exploration into the use of DFT for non-collective excited states. The delta self-consistent field ($Δ$SCF) method allows for the extension of DFT to excited-state energies by restricting the Kohn-Sham orbital occupations, producing an excited-state electron density, and then computing its energy. In this paper, we examine the perfo…

An excellent guide to dead internet theory and the dangers of not double checking your generative systems output: #video

Techno-economic analysis of self-sustainable thermophotovoltaic systems for grid-scale energy generation
Jihun Lim, Sungwon Lee
https://arxiv.org/abs/2510.07338 https://

Techno-economic analysis of self-sustainable thermophotovoltaic systems for grid-scale energy generation
To facilitate the widespread adoption of renewable energy, dispatchable, zero-emission power sources are essential for grid stability. This work performs a comprehensive techno-economic analysis of a self-sustainable thermophotovoltaic (TPV) system, an architecture that integrates solar charging to function as a standalone power generation asset. Using theory-based models for air-bridge InGaAs and Si diode cells, our analysis reveals that while the system is not currently competitive from a pur…

Quantum Fisher Information as a Measure of Symmetry Breaking in Quantum Many-Body Systems
Shion Yamashika, Shimpei Endo, Hiroyasu Tajima
https://arxiv.org/abs/2509.07468 https:/…

Quantum Fisher Information as a Measure of Symmetry Breaking in Quantum Many-Body Systems
Symmetry breaking underlies diverse phenomena from phase transitions in condensed matter to fundamental interactions in gauge theories. Despite many proposed indicators, a general quantification of symmetry breaking that is faithful, computable, and valid in the thermodynamic limit has remained elusive. Here, within quantum resource theory, we propose the quantum Fisher information (QFI) as such a measure. We demonstrate its utility by computing QFI for paradigmatic models: in the BCS supercond…

Replaced article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/1]:
- Modeling Coral Reef Bleaching Recovery Through KCC-Theory
Rafael Cavalcanti, Solange Rutz

Oruga: An Avatar of Representational Systems Theory
Daniel Raggi, Gem Stapleton, Mateja Jamnik, Aaron Stockdill, Grecia Garcia Garcia, Peter C-H. Cheng
https://arxiv.org/abs/2509.04041

Oruga: An Avatar of Representational Systems Theory
Humans use representations flexibly. We draw diagrams, change representations and exploit creative analogies across different domains. We want to harness this kind of power and endow machines with it to make them more compatible with human use. Previously we developed Representational Systems Theory (RST) to study the structure and transformations of representations. In this paper we present Oruga (caterpillar in Spanish; a symbol of transformation), an implementation of various aspects of RST.…

When Researchers Say Mental Model/Theory of Mind of AI, What Are They Really Talking About?
Xiaoyun Yin, Elmira Zahmat Doost, Shiwen Zhou, Garima Arya Yadav, Jamie C. Gorman
https://arxiv.org/abs/2510.02660

When Researchers Say Mental Model/Theory of Mind of AI, What Are They Really Talking About?
When researchers claim AI systems possess ToM or mental models, they are fundamentally dis- cussing behavioral predictions and bias corrections rather than genuine mental states. This position paper argues that the current discourse conflates sophisticated pattern matching with authentic cog- nition, missing a crucial distinction between simulation and experience. While recent studies show LLMs achieving human-level performance on ToM laboratory tasks, these results are based only on behavioral…

Factorized electron-nuclear dynamics with effective complex potential: on-the-fly implementation for H$_2^ $ in a laser field
Julian Stetzler (Department of Chemistry,Biochemistry, University of South Carolina, Columbia, South Carolina), Sophya Garashchuk (Department of Chemistry,Biochemistry, University of South Carolina, Columbia, South Carolina), Vitaly A. Rassolov (Department of Chemistry,Biochemistry, University of South Carolina, Columbia, South Carolina)

Factorized electron-nuclear dynamics with effective complex potential: on-the-fly implementation for H$_2^+$ in a laser field
Conventional theoretical and computational approaches to fully coupled quantum molecular dynamics, i.e. when both the electrons and nuclei are treated as quantum-mechanical particles, are impractical for all but the smallest chemical systems. In this paper we describe the formalism and implementation of the Factorized Electron Nuclear Dynamics (FENDy) with effective complex potential [J. Chem. Theory Comput. 19 (2023), pp 1393-1408], which goes beyond the established framework of the Born-Oppen…

Crosslisted article(s) found for cond-mat.quant-gas. https://arxiv.org/list/cond-mat.quant-gas/new
[1/1]:
- Superfluidity in Fermi systems within the framework of Density Functional Theory
Piotr Magierski

Theory of going to Gryfice: 4 h 36 min. by train (including two communicated transfers, 11 min., each), 2 h on the spot, 5 h 17 min. return journey by train (including two transfers, 20 min. each).
Reality of going to Gryfice: 7 minut by trains, "accident involving a human", 1.5 h return journey on foot.
#rail

Determination of Some Types of Permutations over $\mathbb{F}_q^2$ with Low-Degree
Xuan Pang, Yangcheng Li, Pingzhi Yuan, Yuanpeng Zeng
https://arxiv.org/abs/2508.01143 https://

Determination of Some Types of Permutations over $\mathbb{F}_q^2$ with Low-Degree
The characterization of permutations over finite fields is an important topic in number theory with a long-standing history. This paper presents a systematic investigation of low-degree bivariate polynomial systems $F=(f_1(x,y),f_2(x,y))$ defined over $\mathbb{F}_{q}^2$. Specifically, we employ Hermite's Criterion to completely classify bivariate quadratic permutation polynomial systems, while utilizing the theory of permutation rational functions to give a full classification of bivariate 3-ho…

A Graded Modal Type Theory for Pulse Schedules
Robin Adams
https://arxiv.org/abs/2510.03130 https://arxiv.org/pdf/2510.03130…

A Graded Modal Type Theory for Pulse Schedules
We propose a language for representing the pulse schedules that a superconducting quantum computer accepts as input. The language is a graded modal type theory named PSTT (Pulse Schedule Type Theory). Graded modals type theories are type systems where each variable is annotated with a parameter or grade. These can be used to represent, for example, resource usage, where the grade denotes how many times a given resource may be used; or privacy levels, whether a resource is private or public. In …

Replaced article(s) found for cs.MA. https://arxiv.org/list/cs.MA/new
[1/1]:
- Game Theory and Multi-Agent Reinforcement Learning for Zonal Ancillary Markets
Francesco Morri, H\'el\`ene Le Cadre, Pierre Gruet, Luce Brotcorne

@… In theory, I agree. In practice… I’ve interacted with so many systems where the answer is simply “We aren’t set up to handle that case” with no further steps towards resolution.

Spatial Patterning and Selection: How the Environment Shapes Molecular Complexity
Alexandre Champagne-Ruel, Christopher P. Kempes, Cole Mathis
https://arxiv.org/abs/2509.04547 h…

Spatial Patterning and Selection: How the Environment Shapes Molecular Complexity
Assembly theory predicts that a distinguishing signature of life is its ability to produce complex molecules in abundance, opening new possibilities for life detection. Experimental validation of this approach has so far relied on abiotic controls like meteoritic material, or simple, well-mixed chemical systems. However, decades of research in self-organization have shown that spatial patterning can foster dynamical self-organization. This raises the possibility that systems with nontrivial spa…

Imposing quasineutrality on electrostatic plasmas via the Dirac theory of constraints
D. A. Kaltsas, J. W. Burby, P. J. Morrison, E. Tassi, G. N. Throumoulopoulos
https://arxiv.org/abs/2508.02389

Imposing quasineutrality on electrostatic plasmas via the Dirac theory of constraints
We present a method for imposing quasineutrality and, more generally, charge density conservation in the Vlasov-Poisson (VP) and Vlasov-Ampère (VA) systems, which describe electrostatic plasma dynamics, by applying the Dirac theory of constraints. Leveraging the Hamiltonian field formulations of the VP and VA models, we construct generalized Dirac brackets using the Dirac algorithm. The resulting constrained systems enforce charge density conservation, and consequently quasineutrality, through…

Hong-Ou-Mandel interferometry for fractional excitations: Unified framework and dip width scaling
Aleksander Latyshev, Imen Taktak, Ipsita Mandal, Ines Safi
https://arxiv.org/abs/2509.07875

Hong-Ou-Mandel interferometry for fractional excitations: Unified framework and dip width scaling
Extending Hong--Ou--Mandel (HOM) interferometry to the fractional quantum Hall effect (FQHE) promises direct access to anyonic statistics, yet remains challenging: on-demand anyon injection is hindered by integer-charged minimal excitations, and recent HOM experiments in the FQHE lack a fully consistent theoretical framework. Here we provide a general theory of time-resolved HOM interferometry in quantum Hall systems. Combining the nonequilibrium bosonized edge theory (NEBET) with the unifying …

Distance Between Stochastic Linear Systems
Venkatraman Renganathan, Sei Zhen Khong
https://arxiv.org/abs/2509.04014 https://arxiv.org/pdf/2509.04014…

Distance Between Stochastic Linear Systems
This manuscript proposes a distance measure between stochastic linear dynamical systems. While the existing stochastic control theory is well equipped to handle dynamical systems with stochastic uncertainties, a paradigm shift using distance measure based decision making is required for the effective further exploration of the field. As a first step, a distance measure between two linear time invariant stochastic dynamical systems is proposed here, extending the existing distance metrics betwee…

Topology optimization of nonlinear forced response curves via reduction on spectral submanifolds
Hongming Liang, Matteo Pozzi, Jacopo Marconi, Shobhit Jain, Mingwu Li
https://arxiv.org/abs/2510.07900

Topology optimization of nonlinear forced response curves via reduction on spectral submanifolds
Forced response curves (FRCs) of nonlinear systems can exhibit complex behaviors, including hardening/softening behavior and bifurcations. Although topology optimization holds great potential for tuning these nonlinear dynamic responses, its use in high-dimensional systems is limited by the high cost of repeated response and sensitivity analyses. To address this challenge, we employ the spectral submanifolds (SSMs) reduction theory, which reformulates the periodic response as the equilibria of …

Attractor of hydrodynamic attractors
Shile Chen, Shuzhe Shi
https://arxiv.org/abs/2509.08864 https://arxiv.org/pdf/2509.08864

Attractor of hydrodynamic attractors
Understanding how hydrodynamics emerges rapidly in the medium produced by relativistic heavy-ion collisions remains a key theoretical challenge. While the attractor solution -- manifesting as a non-thermal fixed point during the early evolution stage -- offers a potential explanation, it does not fully account for how far-from-equilibrium systems quickly approach near-equilibrium states. In this Letter, we demonstrate that the attractor in a higher-order hydrodynamic theory converges to the sam…

A Structural Theory of Quantum Metastability: Markov Properties and Area Laws
Thiago Bergamaschi, Chi-Fang Chen, Umesh Vazirani
https://arxiv.org/abs/2510.08538 https://

A Structural Theory of Quantum Metastability: Markov Properties and Area Laws
Statistical mechanics assumes that a quantum many-body system at low temperature can be effectively described by its Gibbs state. However, many complex quantum systems exist only as metastable states of dissipative open system dynamics, which appear stable and robust yet deviate substantially from true thermal equilibrium. In this work, we model metastable states as approximate stationary states of a quasi-local, (KMS)-detailed-balanced master equation representing Markovian system-bath interac…

A Note on Persistence Theory with Applications
N. Pant (University of Louisiana at Lafayette)
https://arxiv.org/abs/2509.06135 https://arxiv.org/pdf/2509.0…

A Note on Persistence Theory with Applications
The persistence theory has been employed by several authors in order to study persistence properties of dynamical systems generated by ordinary differential equations or maps across diverse disciplines. In this note, the author discusses a roadmap to show the persitence of dynamical systems by discussing some problems from literature, which mainly involves either dealing with spectral radius or the Lyapunov exponents.

Global Tensor Network Renormalization for 2D Quantum systems: A new window to probe universal data from thermal transitions
Atsushi Ueda, Sander De Meyer, Adwait Naravane, Victor Vanthilt, Frank Verstraete
https://arxiv.org/abs/2508.05406

Global Tensor Network Renormalization for 2D Quantum systems: A new window to probe universal data from thermal transitions
We propose a new tensor network renormalization group (TNR) scheme based on global optimization and introduce a new method for constructing the finite-temperature density matrix of two-dimensional quantum systems. Combining these two into a new algorithm called thermal tensor network renormalization (TTNR), we obtain highly accurate conformal field theory (CFT) data at thermal transition points. This provides a new and efficient route for numerically identifying phase transitions, offering an a…

Causality and Decision-making: A Logical Framework for Systems and Security Modelling
Pinaki Chakraborty, Tristan Caulfield, David Pym
https://arxiv.org/abs/2508.01758 https://

Causality and Decision-making: A Logical Framework for Systems and Security Modelling
Causal reasoning is essential for understanding decision-making about the behaviour of complex `ecosystems' of systems that underpin modern society, with security -- including issues around correctness, safety, resilience, etc. -- typically providing critical examples. We present a theory of strategic reasoning about system modelling based on minimal structural assumptions and employing the methods of transition systems, supported by a modal logic of system states in the tradition of van Benthe…

Topology in Holographic Mean-Field Theory at Zero and Finite Temperature
Moongul Byun, Taewon Yuk, Young-Kwon Han, Debabrata Ghorai, Sang-Jin Sin
https://arxiv.org/abs/2508.01767

Topology in Holographic Mean-Field Theory at Zero and Finite Temperature
We investigate topological invariants in strongly interacting many-body systems within holographic mean-field theory (H-MFT) framework. Analytic expressions for retarded Green's functions are obtained for all possible fermionic bilinear interactions in the limit of probe background limit $\mathrm{AdS}_4$, from which we construct topological Hamiltonians. Integrating Berry curvature over the momentum domain for the gapped spectra yields well-defined and quantized Chern numbers, enabling a system…

Global non-equilibrium thermodynamics of stationary states applied to the Rayleigh-B\'enard convection
Robert Ho{\l}yst, Pawe{\l} Jan \.Zuk, Konrad Gi\.zy\'nski, Anna Macio{\l}ek, Jakub Wr\'obel, Peter Vaughan Elsmere McClintock
https://arxiv.org/abs/2510.05389

Global non-equilibrium thermodynamics of stationary states applied to the Rayleigh-Bénard convection
Classical thermodynamics describes physical systems in thermodynamic equilibrium, characterized in particular by the absence of macroscopic motion. Global non-equilibrium thermodynamics extends this framework to include physical systems in stationary states (Hołyst et al., EPL 149, 30001 (2025)). Here, we demonstrate that this extended theory captures macroscopic motion in stationary states, thereby providing a unified framework for global thermodynamics and fluid mechanics. We apply the theor…

Field-Induced SIT in Disordered 2D Electron systems: The case of amorphous Indium-Oxide thin films
Tsofar Maniv, Vladimir Zhuravlev
https://arxiv.org/abs/2510.06894 https://

Field-Induced SIT in Disordered 2D Electron systems: The case of amorphous Indium-Oxide thin films
The phenomenon of field-induced superconductor to insulator transition (SIT) in disordered 2D electron systems has been a subject of controversy since its discovery in the early 1990s. Here we present a phenomenological quantitative theory of this phenomenon which is not based exclusively on the boson-vortex duality used commonly in the field. Within a new low-temperature framework of the time-dependent Ginzburg-Landau (TDGL) functional approach to superconducting fluctuations we propose and de…

Path integral approach to quantum thermalization
Alexander Altland, Kun Woo Kim, Tobias Micklitz
https://arxiv.org/abs/2509.06028 https://arxiv.org/pdf/250…

Path integral approach to quantum thermalization
We introduce a quasiclassical Green function approach describing the unitary yet irreversible dynamics of quantum systems effectively acting as their own environment. Combining a variety of concepts of quantum many-body theory, notably the nonlinear $σ$-model of disordered systems, the $G Σ$-formalism for strong correlations, and real time path integration, the theory is capable of describing a wide range of system classes and disorder models. It extends previous work beyond perturbation theo…

Phase Transitions Without Instability: A Universal Mechanism from Non-Normal Dynamics
Virgile Troude, Didier Sornette
https://arxiv.org/abs/2510.07938 https://

Phase Transitions Without Instability: A Universal Mechanism from Non-Normal Dynamics
We identify a new universality class of phase transitions that arises in non-normal systems, challenging the classical view that transitions require eigenvalue instabilities. In traditional bifurcation theory, critical phenomena emerge when spectral stability is lost; here, we show that transitions can occur even when all equilibria are spectrally stable. The key mechanism is the transient amplification induced by non-orthogonal eigenvectors: noise-driven dynamics are enhanced not by lowering e…

General framework for quantifying dissipation pathways in open quantum systems. III. Off-diagonal system-bath couplings
Ignacio Gustin, Chang Woo Kim, Ignacio Franco
https://arxiv.org/abs/2510.04372

General framework for quantifying dissipation pathways in open quantum systems. III. Off-diagonal system-bath couplings
This paper extends the previously reported theory of dissipation pathways [J. Chem. Phys. 160, 214111 (2024)] to incorporate off-diagonal subsystem-bath coupling, which is often required to model molecular systems where the environment directly influences transitions and couplings between subsystem states. We systematically derive master equations for both population transfer and dissipation into individual bath components, for which we also rigorously prove energy conservation and detailed bal…

A general dark-state theory for arbitrary multilevel quantum systems
Xuan Zhao, Le-Man Kuang, Jie-Qiao Liao
https://arxiv.org/abs/2510.05561 https://arxiv.…

A general dark-state theory for arbitrary multilevel quantum systems
The dark-state effect, caused by destructive quantum interference, is an important physical effect in atomic physics and quantum optics. It not only deepens the understanding of light-atom interactions, but also has wide application in quantum physics and quantum information. Therefore, how to efficiently and conveniently determine the number and form of the dark states in multilevel quantum systems with complex transitions is an important and interesting topic in this field. In this work, we p…

VoltanaLLM: Feedback-Driven Frequency Control and State-Space Routing for Energy-Efficient LLM Serving
Jiahuan Yu (University of Illinois Urbana-Champaign), Aryan Taneja (University of Illinois Urbana-Champaign), Junfeng Lin (Tsinghua University), Minjia Zhang (University of Illinois Urbana-Champaign)
https://arxiv.org/abs/2509.04827

VoltanaLLM: Feedback-Driven Frequency Control and State-Space Routing for Energy-Efficient LLM Serving
Modern Large Language Model (LLM) serving systems increasingly support interactive applications, like real-time chat assistants, code generation tools, and agentic workflows. However, the soaring energy cost of LLM inference presents a growing challenge for sustainable and cost-effective deployment. This paper introduces VoltanaLLM, a system for SLO-aware, energy-efficient LLM serving, built from a control theory perspective. VoltanaLLM co-designs frequency scaling and request routing in emergi…

Crosslisted article(s) found for nucl-th. https://arxiv.org/list/nucl-th/new
[1/1]:
- Superfluidity in Fermi systems within the framework of Density Functional Theory
Piotr Magierski

A gauge theory of complex adaptive systems
Gueorgui M. Mihaylov, Sergio L. Cacciatori
https://arxiv.org/abs/2509.01581 https://arxiv.org/pdf/2509.01581

A gauge theory of complex adaptive systems
We introduce a geometric construction of a gauge field theory of a complex adaptive system. It is based on a suitable simplicial formulation of a discrete geometry that manifests relevant properties valid in the classical differentiable case. Bundles' non-triviality naturally arises from local collective interactions between agents. Key elements of the theory of principal and associated bundles, such as local obstructions for triviality and characteristic classes, are opportunely defined in thi…

Time for another "review". This one's hard. While the book was quite interesting, it required me to be quite open-minded. Still, I think it's worth mentioning:
Robert Wright — Nonzero: The Logic of Human Destiny
The book basically focused on a thesis that both biological evolution and cultural evolution are a thing, they are directional and this directionality can be explained together using game theory — as eventually leading to more non-zero sum games.
It consists of three chapters. The first one is is focused on the history of civilization. It features many examples from different parts of the world, which makes it quite interesting. The author argues that the culture inevitably is evolving as information processing techniques improve — from writing to the Internet.
The second chapter is focused on biological evolution. Now, the argument is that it's not quite random, but actually directed towards greater complexity — eventually leading to the development of highly intelligent species, and a civilization.
The third chapter is quite speculative and metaphysical, and I'm just going to skip it.
The book is full of optimism. Capitalism creates freedom — because people are more productive when they're working for their own gain, so the free market eliminates slavery. Globalisation creates networks of interdependence that make wars uneconomic. Increased contacts between different cultures makes people more tolerant. And eventually, the humanity may be able to unite facing a common "external" enemy — the climate change.
What can I say? The examples are quite interesting, the whole theory seems self-consistent. Still, I repeatedly looked at the publication date (it's 1999), and wondered if author would write the same thing today (yes, I know I can search for his current opinions).
#books #bookstodon @…

Cavity-induced Eliashberg effect: superconductivity vs charge density wave
Md Mursalin Islam, Michele Pini, R. Flores-Calder\'on, Francesco Piazza
https://arxiv.org/abs/2509.07865

Cavity-induced Eliashberg effect: superconductivity vs charge density wave
Recent experiments have shown that non-equilibrium effects can play a key role in cavity-based control of material phases, notably in systems with charge-density-wave order. Motivated by this, we extend the theory of the Eliashberg effect, originally developed for superconducting phases, to charge-density-wave phases. Starting from a minimal electronic model where superconductivity and charge-density-wave order are equivalent at equilibrium, we introduce coupling to cavity photons, which are in…

Local and Global Analysis of the Displacement Map Some Near Integrable Systems
Francisco Braun, Leonardo da Cruz, Joan Torregrosa
https://arxiv.org/abs/2509.06203 https://

Local and Global Analysis of the Displacement Map Some Near Integrable Systems
In this paper, we introduce an alternative method for applying averaging theory of orders $1$ and $2$ in the plane. This is done by combining Taylor expansions of the displacement map with the integral form of the Poincaré--Poyntriagin--Melnikov function. It is known that, to obtain results of order $2$ with averaging theory, the first-order averaging function should be identically zero. However, when working with Taylor expansions of the $i$th-order averaging function, we usually cannot guara…

Non-Kramers State Transitions in a Synthetic Toggle Switch Biosystem
Jianzhe Wei, Jingwen Zhu, Pan Chu, Liang Luo, Xiongfei Fu
https://arxiv.org/abs/2510.07797 https://

Non-Kramers State Transitions in a Synthetic Toggle Switch Biosystem
State transitions are fundamental in biological systems but challenging to observe directly. Here, we present the first single-cell observation of state transitions in a synthetic bacterial genetic circuit. Using a mother machine, we tracked over 1007 cells for 27 hours. First-passage analysis and dynamical reconstruction reveal that transitions occur outside the small-noise regime, challenging the applicability of classical Kramers' theory. The process lacks a single characteristic rate, quest…

Machine Learning and Control: Foundations, Advances, and Perspectives
Enrique Zuazua
https://arxiv.org/abs/2510.03303 https://arxiv.org/pdf/2510.03303

Machine Learning and Control: Foundations, Advances, and Perspectives
Control theory of dynamical systems offers a powerful framework for tackling challenges in deep neural networks and other machine learning architectures. We show that concepts such as simultaneous and ensemble controllability offer new insights into the classification and representation properties of deep neural networks while the control and optimization of static systems can be employed to better understand the performance of shallow networks. Inspired by the classical concept of turnpike, we…

Wormholes in Einstein-Dirac-Maxwell theory with identical spacetime asymptotics
Vladimir Dzhunushaliev, Vladimir Folomeev, Nurzada Beissen, Adilet Nurmukhamedov
https://arxiv.org/abs/2510.03656

Wormholes in Einstein-Dirac-Maxwell theory with identical spacetime asymptotics
Within general relativity, we study spherically symmetric configurations with wormhole topology consisting of spinor fields and a Maxwell electric field. For such a system, we construct complete families of regular asymmetric solutions describing wormholes connecting two identical Minkowski spacetimes. The physical properties of such systems are completely determined by the values of three input quantities: the throat parameter, the spinor frequency, and the coupling constant. Depending on the …

Magic for Hybrid Boson-Fermion Systems: A Grassmann Phase-Space Approach
Matthieu Sarkis, Pablo Martinez-Azcona, Alexandre Tkatchenko
https://arxiv.org/abs/2509.05264 https://…

Magic for Hybrid Boson-Fermion Systems: A Grassmann Phase-Space Approach
Non-stabilizerness enables universality beyond Gaussian/Clifford dynamics, yet no resource theory exists for systems combining bosonic and fermionic modes. Using the Grassmann approach of Cahill and Glauber, we develop a phase-space framework defining hybrid magic via the $L_p$ norm of a hybrid Wigner function. We demonstrate it in the Holstein polaron, where phonon-electron coupling enhances magic growth, and in the fermionic Jaynes-Cummings model, examining dependence on atomic and cavity sta…

Integrable systems: From the ice rule to supersymmetric fishnet Feynman diagrams
Moritz Kade
https://arxiv.org/abs/2509.03416 https://arxiv.org/pdf/2509.03…

Integrable systems: From the ice rule to supersymmetric fishnet Feynman diagrams
This thesis examines the correspondence between models of statistical physics and Feynman graphs of quantum field theories (QFTs) by a common property: integrability. We review integrable structures for periodic boundary conditions on both sides, while focusing on the eight- and six-vertex model and the bi-scalar fishnet theory. The latter is a double-scaled $γ$-deformation of $\mathcal{N} = 4$ super Yang-Mills theory. Interesting applications of integrability existing in the literature that w…

Cloud-Assisted Remote Control for Aerial Robots: From Theory to Proof-of-Concept Implementation
Achilleas Santi Seisa, Viswa Narayanan Sankaranarayanan, Gerasimos Damigos, Sumeet Gajanan Satpute, George Nikolakopoulos
https://arxiv.org/abs/2509.04095

Cloud-Assisted Remote Control for Aerial Robots: From Theory to Proof-of-Concept Implementation
Cloud robotics has emerged as a promising technology for robotics applications due to its advantages of offloading computationally intensive tasks, facilitating data sharing, and enhancing robot coordination. However, integrating cloud computing with robotics remains a complex challenge due to network latency, security concerns, and the need for efficient resource management. In this work, we present a scalable and intuitive framework for testing cloud and edge robotic systems. The framework co…

Magnetic-Field-Induced Geometric Response of Mean-Field Projectors: Streda Formula and Orbital Magnetization
Jihang Zhu, Chunli Huang
https://arxiv.org/abs/2510.07001 https://…

Magnetic-Field-Induced Geometric Response of Mean-Field Projectors: Streda Formula and Orbital Magnetization
We study the magnetic-field response of interacting electron systems within mean-field theory using perturbation theory. We show that the linear response of the mean-field density-matrix to a weak magnetic field is purely geometric: it depends only on wavefunction derivatives, the Berry connections linking the occupied and unoccupied subspaces, and is independent of the interaction potential and the quasiparticle dispersion. This leads to compact, gauge-invariant projector expressions for both …

Semantic Numeration Systems as Dynamical Systems
Alexander Yu. Chunikhin
https://arxiv.org/abs/2507.21295 https://arxiv.org/pdf/2507.21295

Semantic Numeration Systems as Dynamical Systems
The foundational concepts of semantic numeration systems theory are briefly outlined. The action of cardinal semantic operators unfolds over a set of cardinal abstract entities belonging to the cardinal semantic multeity. The cardinal abstract object (CAO) formed by them in a certain connectivity topology is proposed to be considered as a linear discrete dynamical system with nonlinear control. Under the assumption of ideal observability, the CAO state equations are provided for both stationary…

Fast and Robust Non-Adiabatic Holonomic Gates for Qutrit Systems
Jie Lu, Jie-Dong Huang, Yang Qian, Ying Yan
https://arxiv.org/abs/2510.05905 https://arxiv…

Fast and Robust Non-Adiabatic Holonomic Gates for Qutrit Systems
Motivated by shortcuts to adiabaticity, we develop a framework that combines inverse engineering with time-dependent perturbation theory to implement non-adiabatic holonomic quantum computing (NHQC) in qutrit systems under realistic error sources. We derive analytical conditions that suppress second-order Rabi errors through tailored pulse parameters and eliminate detuning errors via a compensation pulse. Our analysis reveals the cancellation from the compensation pulse, which ensures robust ga…

Effective-medium theory for elastic systems with correlated disorder
Jorge M. Escobar-Agudelo, Rui Aquino, Danilo B. Liarte
https://arxiv.org/abs/2510.02090 https://

Effective-medium theory for elastic systems with correlated disorder
Correlated structures are intimately connected to intriguing phenomena exhibited by a variety of disordered systems such as soft colloidal gels, bio-polymer networks and colloidal suspensions near a shear jamming transition. The universal critical behavior of these systems near the onset of rigidity is often described by traditional approaches as the coherent potential approximation - a versatile version of effective-medium theory that nevertheless have hitherto lacked key ingredients to descri…

Universal quantum control over bosonic network
Zhu-yao Jin, Jun Jing
https://arxiv.org/abs/2509.06560 https://arxiv.org/pdf/2509.06560

Universal quantum control over bosonic network
Perfect transfer of unknown states across distinct nodes is fundamental in the construction of bosonic quantum networks. We here develop a general theory to control an $N$-node bosonic network governed by the time-dependent Hamiltonian, as the universal quantum control theory for continuous-variable systems. In particular, we can activate nonadiabatic passages superposed of initial and target modes by the commutation condition for the Hamiltonian's coefficient matrix in the representation of ti…

Optimization via a Control-Centric Framework
Liraz Mudrik, Isaac Kaminer, Sean Kragelund, Abram H. Clark
https://arxiv.org/abs/2510.05455 https://arxiv.org…

Optimization via a Control-Centric Framework
Optimization plays a central role in intelligent systems and cyber-physical technologies, where the speed and reliability of convergence directly impact performance. In control theory, optimization-centric methods are standard: controllers are designed by repeatedly solving optimization problems, as in linear quadratic regulation, $H_\infty$ control, and model predictive control. In contrast, this paper develops a control-centric framework for optimization itself, where algorithms are construct…

Effective linear response in non-equilibrium anyonic systems
Gu Zhang, Igor Gornyi, Yuval Gefen
https://arxiv.org/abs/2510.03985 https://arxiv.org/pdf/2510…

Effective linear response in non-equilibrium anyonic systems
Linear response theory serves as a fundamental tool in the study of quantum transport, extensively employed to elucidate fundamental mechanisms related to the nature of the particles involved and the underlying symmetries. This framework is, however, limited to equilibrium or near-equilibrium conditions. Here, we develop an effective linear response theory designed to describe charge and thermal quantum transport, where the reference far-from-equilibrium stationary state comprises anyons formin…

Is it Gaussian? Testing bosonic quantum states
Filippo Girardi, Freek Witteveen, Francesco Anna Mele, Lennart Bittel, Salvatore F. E. Oliviero, David Gross, Michael Walter
https://arxiv.org/abs/2510.07305

Is it Gaussian? Testing bosonic quantum states
Gaussian states are widely regarded as one of the most relevant classes of continuous-variable (CV) quantum states, as they naturally arise in physical systems and play a key role in quantum technologies. This motivates a fundamental question: given copies of an unknown CV state, how can we efficiently test whether it is Gaussian? We address this problem from the perspective of representation theory and quantum learning theory, characterizing the sample complexity of Gaussianity testing as a fu…

A functional analytic theory for differential equations on Banach spaces with slowly evolving parameters
Dirk Doorakkers, Daniele Avitabile, Jan Bouwe van den Berg
https://arxiv.org/abs/2510.02893

A functional analytic theory for differential equations on Banach spaces with slowly evolving parameters
This paper provides a functional analytic approach to differential equations on Banach space with slowly evolving parameters. We develop a Fenichel-like theory for attracting subsets of critical manifolds via a Lyapunov-Perron method. This functional analytic approach to invariant manifold theory for fast-slow systems of differential equations has not been fully developed before, especially for the case that the fast subsystem lives on an infinite-dimensional Banach space. We provide rigorous f…

Boundary Time Crystals: Beyond Mean-Field Theory
Zeping Liu, Yaotian Li, Zhaoyu Fei, Xiaoguang Wang
https://arxiv.org/abs/2510.03028 https://arxiv.org/pdf/…

Boundary Time Crystals: Beyond Mean-Field Theory
Boundary time crystals are a class of exotic dissipative quantum phases that spontaneously break continuous time-translation symmetry in the thermodynamic limit of open quantum systems. In finite-size systems, the long-time evolution of boundary time crystals exhibits decaying oscillations that cannot be captured by widely used mean-field theory. To address this issue, we develop an effective approach called the stroboscopic rotating wave approximation, which provides a well approximate state f…

Hamiltonian Systems as an Example of Invariant Measure
Daniel Ferreira Lopes
https://arxiv.org/abs/2509.04248 https://arxiv.org/pdf/2509.04248

Hamiltonian Systems as an Example of Invariant Measure
Hamiltonian systems are a classical example in the ergodic theory of flows with an invariant measure. In this matter, we present a brief introduction to measure theory and prove the Poincare recurrence theorem to present the conditions for a system to be conservative. In the following, we discuss the Hamiltonian differential equations, vector fields, and its respective flows as an example of this invariance.

A General Theory of Emergent Linearity in Complex Dynamical Systems: The Role of Spatial Averaging and Vanishing Correlations
Sabbir Ahmed, Hafiz Fareed Ahmed, Erfan Nozari
https://arxiv.org/abs/2509.25589

A General Theory of Emergent Linearity in Complex Dynamical Systems: The Role of Spatial Averaging and Vanishing Correlations
Various natural and engineered systems, from urban traffic flow to the human brain, have been described by large-scale networked dynamical systems. Despite their vast differences, these systems are often similar in being comprised of numerous microscopic subsystems with complex nonlinear dynamics and interactions that give rise to diverse emergent macroscopic behaviors. As such, a long-standing question across various fields has been to understand why and how various forms of macroscopic behavi…

Resonance Assisted Tunneling in Floquet spin-J systems
J. A. Segura-Landa, Diego A. Wisniacki, Sergio Lerma-Hern\'andez, Jorge G. Hirsch
https://arxiv.org/abs/2509.03715 htt…

Resonance Assisted Tunneling in Floquet spin-J systems
We apply the theory of Resonance Assisted Tunneling (RAT) to a many-body quantum kicked system with a well-defined semiclassical limit. Using a quantum resonant condition, we identify eigenstates associated with classical resonances and compute their quasienergy splitting semiclassically. We distinguish two regimes: the first, where RAT predictions show excellent agreement with exact quantum results, and a second, where the splitting saturates and coincides with that of a harmonic oscillator wi…