Tootfinder

On Euler systems and Nekov\'a\v{r}-Selmer complexes
Dominik Bullach, David Burns
https://arxiv.org/abs/2509.13894 https://arxiv.org/pdf/2509.13894

On Euler systems and Nekovář-Selmer complexes
We develop a theory of Euler and Kolyvagin systems relative to the Nekovář-Selmer complexes of $p$-adic representations over local complete Gorenstein rings. This is simultaneously finer, and requires weaker hypotheses, than the theory of Kolyvagin systems developed by Mazur and Rubin over discrete valuation rings and then by Sakamoto, Sano and the second author over Gorenstein rings. To illustrate its advantages, we prove new cases of Kato's generalised Iwasawa main conjecture for $\mathbb{Z…

Observation of topological Phenomena in a Weyl Exceptional Ring with Single Photons
Zhong-Sheng Chen, Wei-Xin Chen, Fan Wu, Zhong-Wei Xu, Jing Ma, Yun-Kun Jiang, Huai-Zhi Wu, Shi-Biao Zheng
https://arxiv.org/abs/2509.13708

Observation of topological Phenomena in a Weyl Exceptional Ring with Single Photons
Compared with Hermitian theory, non-Hermitian physics offers a fundamentally different mathematical framework, enabling the observation of topological phenomena that have no analogue in Hermitian systems. Among these, the exceptional point (EP) ring stands out as a quintessential topological feature unique to non-Hermitian systems. In this study, we employ single-photon interferometry to overcome the experimental challenge of precise phase control in quantum systems, thereby enabling a complete…

Identifying Network Structure of Nonlinear Dynamical Systems: Contraction and Kuramoto Oscillators
Jaidev Gill, Jing Shuang Li
https://arxiv.org/abs/2509.13505 https://

Identifying Network Structure of Nonlinear Dynamical Systems: Contraction and Kuramoto Oscillators
In this work, we study the identifiability of network topologies for networked nonlinear systems when partial measurements of the nodes are taken. We explore scenarios where different candidate topologies can yield similar measurements, thus limiting identifiability. To do so, we apply the contraction theory framework to facilitate comparisons between candidate topologies. We show that semicontraction in the observable space is a sufficient condition for two systems to become indistinguishable …

Generalised spin Calogero-Moser systems from Cherednik algebras
Misha Feigin, Mikhail Vasilev, Martin Vrabec
https://arxiv.org/abs/2509.14099 https://arxiv…

Generalised spin Calogero-Moser systems from Cherednik algebras
Integrable spin Calogero-Moser type systems with non-symmetric configurations of the singularities of the potential appeared in the work of Chalykh, Goncharenko, and Veselov in 1999. We obtain various generalisations of these examples by making use of the representation theory of Cherednik algebras.

Metric Equational Theories
Radu Mardare (Heriot-Watt University, Edinburgh, Scotland), Neil Ghani (University of Strathclyde, Glasgow, Scotland), Eigil Rischel (University of Strathclyde, Glasgow, Scotland)
https://arxiv.org/abs/2509.14094

Metric Equational Theories
This paper proposes appropriate sound and complete proof systems for algebraic structures over metric spaces by combining the development of Quantitative Equational Theories (QET) with the Enriched Lawvere Theories. We extend QETs to Metric Equational Theories (METs) where operations no longer have finite sets as arities (as in QETs and the general theory of universal algebras), but arities are now drawn from countable metric spaces. This extension is inspired by the theory of Enriched Lawvere …

Detector-based measurement-induced state updates in AdS/CFT
Vijay Balasubramanian, Esko Keski-Vakkuri, Nicola Pranzini
https://arxiv.org/abs/2509.13457 https://

Detector-based measurement-induced state updates in AdS/CFT
Conventional understandings of quantum theory hold that measurements change the state of an observed system following the Lüders update rule. Textbooks describe the application of this idea to non-relativistic systems, but extensions to relativistic and gravitating systems encounter subtleties. One consistent approach is via detector-based measurements. We study the effects of such measurements in a CFT with a holographic dual. We work out the boundary space-time regions associated to a Lüder…

Dilated coordinate method for solving nuclear lattice effective field theory
Guangzhao He, Zhenyu Zhang, Teng Wang, Qian Wang, Bing-Nan Lu
https://arxiv.org/abs/2509.13967 https…

Dilated coordinate method for solving nuclear lattice effective field theory
We introduce a dilated coordinate method to address computational challenges in nuclear lattice effective field theory (NLEFT) for weakly-bound few-body systems. The approach employs adaptive mesh refinement via analytic coordinate transformations, dynamically adjusting spatial resolution to resolve short-range nuclear interactions with fine grids while efficiently capturing long-range wave function tails with coarse grids. Numerical demonstrations for two- and three-body systems confirm accele…

Classical Algebraic Geometry and Discrete Integrable Systems
Gessica Alecci, Michele Graffeo, Alexander Stokes
https://arxiv.org/abs/2510.12647 https://arx…

Classical Algebraic Geometry and Discrete Integrable Systems
The aim of these notes is to present an accessible overview of some topics in classical algebraic geometry which have applications to aspects of discrete integrable systems. Precisely, we focus on surface theory on the algebraic geometry side, which is applied to differential and discrete Painlevé equations on the integrable systems side. Along the way we also discuss the theory of resolution of indeterminacies, which is applied to the cohomological computation of algebraic entropy of biration…

Type Theory with Single Substitutions
Ambrus Kaposi (E\"otv\"os Lor\'and University), Szumi Xie (E\"otv\"os Lor\'and University)
https://arxiv.org/abs/2510.12303

Type Theory with Single Substitutions
Type theory can be described as a generalised algebraic theory. This automatically gives a notion of model and the existence of the syntax as the initial model, which is a quotient inductive-inductive type. Algebraic definitions of type theory include Ehrhard's definition of model, categories with families (CwFs), contextual categories, Awodey's natural models, C-systems, B-systems. With the exception of B-systems, these notions are based on a parallel substitution calculus where substitutions …

Dissipativity-Based Data-Driven Decentralized Control of Interconnected Systems
Taiki Nakano, Ahmed Aboudonia, Jaap Eising, Andrea Martinelli, Florian D\"orfler, John Lygeros
https://arxiv.org/abs/2509.14047

Dissipativity-Based Data-Driven Decentralized Control of Interconnected Systems
We propose data-driven decentralized control algorithms for stabilizing interconnected systems. We first derive a data-driven condition to synthesize a local controller that ensures the dissipativity of the local subsystems. Then, we propose data-driven decentralized stability conditions for the global system based on the dissipativity of each local system. Since both conditions take the form of linear matrix inequalities and are based on dissipativity theory, this yields a unified pipeline, re…

Functional Reasoning for Distributed Systems with Failures
Haobin Ni, Robbert van Renesse, Greg Morrisett
https://arxiv.org/abs/2510.12131 https://arxiv.or…

Functional Reasoning for Distributed Systems with Failures
Distributed system theory literature often argues for correctness using an informal, Hoare-like style of reasoning. While these arguments are intuitive, they have not all been foolproof, and whether they directly correspond to formal proofs is in question. We formally ground this kind of reasoning and connect it to standard formal approaches through language design and meta-analysis, which leads to a functional style of compositional formal reasoning for a class of distributed systems, includin…

An accurate mean-field equation for voter model dynamics on scale-free networks
Marvin L\"ucke, Stefanie Winkelmann, P\'eter Koltai
https://arxiv.org/abs/2509.13485 htt…

An accurate mean-field equation for voter model dynamics on scale-free networks
Understanding the emergent macroscopic behavior of dynamical systems on networks is a crucial but challenging task. One of the simplest and most effective methods to construct a reduced macroscopic model is given by mean-field theory. The resulting approximations perform well on dense and homogeneous networks but poorly on scale-free networks, which, however, are more realistic in many applications. In this paper, we introduce a modified version of the mean-field approximation for voter model d…

A simple criterion for identifying slow-fast relaxation oscillations
Lucas MacQuarrie, Pei Yu
https://arxiv.org/abs/2509.13893 https://arxiv.org/pdf/2509.1…

A simple criterion for identifying slow-fast relaxation oscillations
Simple conditions have been developed in [Zhang, Wahl and Yu, SIAM Rev. 2014; Yu and Wang, Math. Biosci. Eng. 2019], which are used to identify the existence of slow-fast relaxation oscillations that appear in differential systems, where the geometric singular perturbation theory is not applicable. In this study, we present seven models which fail to satisfy these conditions, yet still show recurrence phenomena, which motivate us to generalize these conditions to establish new simple hypothetic…

Crosslisted article(s) found for math.SP. https://arxiv.org/list/math.SP/new
[1/1]:
- Levinson's theorem for dissipative systems, or how to count the asymptotically disappearing states
A. Alexander, J. Faupin, S. Richard

Twist-modulated magnetic interactions in bilayer van der Waals materials
Tomas T. Osterholt, D. O. Oriekhov, Lumen Eek, Cristiane Morais Smith, Rembert A. Duine
https://arxiv.org/abs/2509.14122

Twist-modulated magnetic interactions in bilayer van der Waals materials
The ability to control magnetic interactions at the nanoscale is crucial for the development of next-generation spintronic devices and functional magnetic materials. In this work, we investigate theoretically, by means of many-body perturbation theory, how interlayer twisting modulates magnetic interactions in bilayer van der Waals systems composed of two ferromagnetic layers. We demonstrate that the relative strengths of the interlayer Heisenberg exchange interaction, the Dzyaloshinskii-Moriya…

Marcus Theory and The Condon Approximation Revisited I: E-SHAKE and Seam Sampling
D. Vale Cofer-Shabica, Jennifer R. DeRosa, Joseph E. Subotnik
https://arxiv.org/abs/2510.11810 …

Marcus Theory and The Condon Approximation Revisited I: E-SHAKE and Seam Sampling
Marcus theory is the workhorse of theoretical chemistry for predicting the rates of charge and energy transfer. Marcus theory overwhelmingly agrees with experiment -- both in terms of electron transfer and triplet energy transfer -- for the famous set of naphthalene-bridge-biphenyl and naphthalene-bridge-benzophenone systems studied by Piotrowiak, Miller, and Closs. That being said, the agreement is not perfect, and in this manuscript, we revisit one key point of disagreement: the molecule C-13…

Open Quantum Dynamics Theory for Coulomb Potentials: Hierarchical Equations of Motion for Atomic Orbitals (AO-HEOM)
Yankai Zhang, oshitaka Tanimura
https://arxiv.org/abs/2510.11981

Open Quantum Dynamics Theory for Coulomb Potentials: Hierarchical Equations of Motion for Atomic Orbitals (AO-HEOM)
We investigate the quantum dynamics of Coulomb potential systems in thermal baths. We study these systems within the framework of open quantum dynamics theory, focusing on preserving the rotational symmetry of the entire system, including the baths. Thus, we employ a three-dimensional rotationally invariant system-bath (3D-RISB) model to derive numerically ``exact'' hierarchical equations of motion for atomic orbitals (AO-HEOM) that enable a non-perturbative and non-Markovian treatment of syste…

Pedro Abreu aka #TypeTheoryForall had an epic conversation with me about all things programming languages, out now on the podcast.
https://www.typetheoryforall.com/…

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

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…

Replaced article(s) found for eess.SP. https://arxiv.org/list/eess.SP/new
[1/1]:
- Optical communication-based identification for multi-UAV systems: theory and practice
Daniel Bonilla Licea, Viktor Walter, Mounir Ghogho, Martin Saska

False Alarm Rates in Detecting Gravitational Wave Lensing from Astrophysical Coincidences: Insights with Model-Independent Technique GLANCE
Aniruddha Chakraborty, Suvodip Mukherjee
https://arxiv.org/abs/2510.11790

False Alarm Rates in Detecting Gravitational Wave Lensing from Astrophysical Coincidences: Insights with Model-Independent Technique GLANCE
The strong lensing gravitational waves (GWs) due to intervening massive astrophysical systems between the source and an observer are an inevitable consequence of the general theory of relativity, which can produce multiple GW events in overlapping sky localization error. However, the confirmed detection of such a unique astrophysical phenomenon is challenging due to several sources of contamination, arising from detector noise to astrophysical uncertainties. Robust model-independent search tech…

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…

The Theory of Strategic Evolution: Games with Endogenous Players and Strategic Replicators
Kevin Vallier
https://arxiv.org/abs/2512.07901 https://arxiv.org/pdf/2512.07901 https://arxiv.org/html/2512.07901
arXiv:2512.07901v1 Announce Type: new
Abstract: This paper develops the Theory of Strategic Evolution, a general model for systems in which the population of players, strategies, and institutional rules evolve together. The theory extends replicator dynamics to settings with endogenous players, multi level selection, innovation, constitutional change, and meta governance. The central mathematical object is a Poiesis stack: a hierarchy of strategic layers linked by cross level gain matrices. Under small gain conditions, the system admits a global Lyapunov function and satisfies selection, tracking, and stochastic stability results at every finite depth. We prove that the class is closed under block extension, innovation events, heterogeneous utilities, continuous strategy spaces, and constitutional evolution. The closure theorem shows that no new dynamics arise at higher levels and that unrestricted self modification cannot preserve Lyapunov structure. The theory unifies results from evolutionary game theory, institutional design, innovation dynamics, and constitutional political economy, providing a general mathematical model of long run strategic adaptation.
toXiv_bot_toot

Notes on false vacuum decay in quantum Ising models
Ian G. Moss
https://arxiv.org/abs/2510.12592 https://arxiv.org/pdf/2510.12592

Notes on false vacuum decay in quantum Ising models
This paper aims to gather together some of the basic ideas behind the theory of false vacuum decay in quantum Ising models, focusing on the application of spin chains as analogue systems to false vacuum decay in elementary particle theory. Elementary results on quantum Ising models are rewritten to more closely resemble the original literature on false vacuum decay. A highly speculative conjecture for the false vacuum decay rate in a two dimensional quantum Ising model is also put forward.

Infinite-dimensional Lagrange-Dirac systems with boundary energy flow II: Field theories with bundle-valued forms
Fran\c{c}ois Gay-Balmaz, \'Alvaro Rodr\'iguez Abella, Hiroaki Yoshimura
https://arxiv.org/abs/2511.05687 https://arxiv.org/pdf/2511.05687 https://arxiv.org/html/2511.05687
arXiv:2511.05687v1 Announce Type: new
Abstract: Part I of this paper introduced the infinite dimensional Lagrange--Dirac theory for physical systems on the space of differential forms over a smooth manifold with boundary. This approach is particularly well-suited for systems involving energy exchange through the boundary, as it is built upon a restricted dual space -a vector subspace of the topological dual of the configuration space- that captures information about both the interior dynamics and boundary interactions. Consequently, the resulting dynamical equations naturally incorporate boundary energy flow. In this second part, the theory is extended to encompass vector-bundle-valued differential forms and non-Abelian gauge theories. To account for two commonly used forms of energy flux and boundary power densities, we introduce two distinct but equivalent formulations of the restricted dual. The results are derived from both geometric and variational viewpoints and are illustrated through applications to matter and gauge field theories. The interaction between gauge and matter fields is also addressed, along with the associated boundary conditions, applied to the case of the Yang-Mills-Higgs equations.
toXiv_bot_toot

List Decoding Reed--Solomon Codes in the Lee, Euclidean, and Other Metrics
Chris Peikert, Alexandra Veliche Hostetler
https://arxiv.org/abs/2510.11453 https://

List Decoding Reed--Solomon Codes in the Lee, Euclidean, and Other Metrics
Reed--Solomon error-correcting codes are ubiquitous across computer science and information theory, with applications in cryptography, computational complexity, communication and storage systems, and more. Most works on efficient error correction for these codes, like the celebrated Berlekamp--Welch unique decoder and the (Guruswami--)Sudan list decoders, are focused on measuring error in the Hamming metric, which simply counts the number of corrupted codeword symbols. However, for some applica…

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…

Fibration Symmetries and Cluster Synchronization in Multi-Body Systems
Margherita Bert\`e, Tommaso Gili
https://arxiv.org/abs/2510.11207 https://arxiv.org/…

Fibration Symmetries and Cluster Synchronization in Multi-Body Systems
Based on recent advances in fibration symmetry theory, we investigate how structural symmetries influence synchronization in systems with higher-order interactions (HOI). Using bipartite graph representations, we identify a node partition in fibres, based on equivalent incidence relations in hypergraphs. We study how identical nodes with an isomorphic input set can synchronize due to structural properties under our specific model assumptions, examining the dynamical model of Kuramoto with highe…

Verification of Convergent-Divergent Nozzle Designs in Propulsion Aerospace Applications
Noah L. Estrada, Marc A. Cantu, Arturo Rodriguez, Andrew R. Ybarra, Jeffrey H. Farris, Francisco O. Aguirre Ortega, Vineeth Vijaya Kumar, Vinod Kumar
https://arxiv.org/abs/2510.11667

Verification of Convergent-Divergent Nozzle Designs in Propulsion Aerospace Applications
The performance of convergent divergent nozzles plays a critical role in aerospace propulsion systems, where efficient expansion of high-temperature, high-pressure gases directly impacts thrust generation. In this study, we investigate a series of nozzle geometries using numerical simulations performed in ANSYS Fluent, with design parameters guided by classical compressible flow theory, initially developed by Ludwig Prandtl. The governing equations of conservation of mass, momentum, and energy …

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…

From points to complexes: a concept of unexpectedness for simplicial complexes
Thiago Holleben
https://arxiv.org/abs/2510.10884 https://arxiv.org/pdf/2510.…

From points to complexes: a concept of unexpectedness for simplicial complexes
In 2018, Cook, Harbourne, Migliore and Nagel introduced the concept of unexpected hypersurfaces, which connects the study of Lefschetz properties of artinian algebras defined by powers of linear forms, to a family of interpolation problems. In this paper, inspired by the theory of unexpected hypersurfaces, we introduce the concept of unexpected systems of parameters for squarefree monomial ideals. Similarly to the setting of points, we show that the existence of an unexpected system of paramete…

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…

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

S-D-RSM: Stochastic Distributed Regularized Splitting Method for Large-Scale Convex Optimization Problems
Maoran Wang, Xingju Cai, Yongxin Chen
https://arxiv.org/abs/2511.10133 https://arxiv.org/pdf/2511.10133 https://arxiv.org/html/2511.10133
arXiv:2511.10133v1 Announce Type: new
Abstract: This paper investigates the problems large-scale distributed composite convex optimization, with motivations from a broad range of applications, including multi-agent systems, federated learning, smart grids, wireless sensor networks, compressed sensing, and so on. Stochastic gradient descent (SGD) and its variants are commonly employed to solve such problems. However, existing algorithms often rely on vanishing step sizes, strong convexity assumptions, or entail substantial computational overhead to ensure convergence or obtain favorable complexity. To bridge the gap between theory and practice, we integrate consensus optimization and operator splitting techniques (see Problem Reformulation) to develop a novel stochastic splitting algorithm, termed the \emph{stochastic distributed regularized splitting method} (S-D-RSM). In practice, S-D-RSM performs parallel updates of proximal mappings and gradient information for only a randomly selected subset of agents at each iteration. By introducing regularization terms, it effectively mitigates consensus discrepancies among distributed nodes. In contrast to conventional stochastic methods, our theoretical analysis establishes that S-D-RSM achieves global convergence without requiring diminishing step sizes or strong convexity assumptions. Furthermore, it achieves an iteration complexity of $\mathcal{O}(1/\epsilon)$ with respect to both the objective function value and the consensus error. Numerical experiments show that S-D-RSM achieves up to 2--3$\times$ speedup compared to state-of-the-art baselines, while maintaining comparable or better accuracy. These results not only validate the algorithm's theoretical guarantees but also demonstrate its effectiveness in practical tasks such as compressed sensing and empirical risk minimization.
toXiv_bot_toot

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 -…

Topological Structure of Infrared QCD
J. Gamboa
https://arxiv.org/abs/2511.07455 https://arxiv.org/pdf/2511.07455 https://arxiv.org/html/2511.07455
arXiv:2511.07455v1 Announce Type: new
Abstract: We investigate the infrared structure of QCD within the adiabatic approximation, where soft gluon configurations evolve slowly compared to the fermionic modes. In this formulation, the functional space of gauge connections replaces spacetime as the natural arena for the theory, and the long-distance behavior is encoded in quantized Berry phases associated with the infrared clouds. Our results suggest that the infrared sector of QCD exhibits features reminiscent of a \emph{topological phase}, similar to those encountered in condensed-matter systems, where topological protection replaces dynamical confinement at low energies. In this geometric framework, color-neutral composites such as quark--gluon and gluon--gluon clouds arise as topological bound states described by functional holonomies. Illustrative applications to hadronic excitations are discussed within this approach, including mesonic and baryonic examples. This perspective provides a unified picture of infrared dressing and topological quantization, establishing a natural bridge between non-Abelian gauge theory, adiabatic Berry phases, and the topology of the space of gauge configurations.
toXiv_bot_toot

A queuing theory-based operating capacity model for multi-modal port operations
Debojjal Bagchi, Kyle Bathgate, Stephen D. Boyles, Kenneth N. Mitchell, Magdalena I. Asborno, Marin M. Kress
https://arxiv.org/abs/2509.22961

A queuing theory-based operating capacity model for multi-modal port operations
This paper investigates how "operating capacity" can be meaningfully defined in multi-modal maritime freight systems with limited data. Shipping channels and ports are complex systems that interact deeply, and the capacities of individual components may differ from the overall capacity of these systems. Traditional methods for port capacity assessment often rely on data-driven simulations, which can be difficult to calibrate due to complex interactions among port systems and the large volume of…

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…

Anti-abortion activists have been trying to convince the broader public that medication abortion is dangerous for years,
but their latest argument is a decades-old asinine conspiracy theory.
In a June 18 letter to Environmental Protection Agency (EPA) Administrator Lee Zeldin,
25 House Republicans asked the agency to study the alleged
“byproducts” of Mifepristone
(the first medication administered in a medication abortion regimen)
in water systems.
…

GOP Lawmakers Are Using a Wild Conspiracy Theory to Attack Medication Abortion
House Republicans are now talking about combing through sewers in search of microscopic evidence of our abortions.

Experimental observation of energy-band Riemann surface
Dali Cheng, Heming Wang, Janet Zhong, Eran Lustig, Charles Roques-Carmes, Shanhui Fan
https://arxiv.org/abs/2510.08819 ht…

Experimental observation of energy-band Riemann surface
Non-Hermiticity naturally arises in many physical systems that exchange energy with their environment. The presence of non-Hermiticity leads to many novel topological physics phenomena and device applications. In the non-Hermitian energy band theory, the foundation of these physics and applications, both energies and wavevectors can take complex values. The energy bands thus become a Riemann surface, and such an energy-band Riemann surface underlies all the important signatures of non-Hermitian…

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…

Non-Hermitian Bethe-Salpeter Equation for Open Systems: Emergence of Exceptional Points in Excitonic Spectra from First Principles
Zhenlin Zhang, Wei Hu, Enrico Perfetto, Gianluca Stefanucci
https://arxiv.org/abs/2510.09386

Non-Hermitian Bethe-Salpeter Equation for Open Systems: Emergence of Exceptional Points in Excitonic Spectra from First Principles
In open quantum systems hosting excitons, dissipation mechanisms critically shape the excitonic dynamics, band-structure and topological properties. A microscopic understanding of excitons in such non-Hermitian settings demands a first-principles generalization of the Bethe-Salpeter equation (BSE). Building on a recently introduced nonequilibrium Green's function formalism compatible with Lindbladian dynamics, we derive a non-Hermitian BSE from diagrammatic perturbation theory on the Keldysh co…

Continuum theory for topological phase transitions in exciton systems
Xiaochan Cai, Armando Consiglio, Domenico Di Sante, Ronny Thomale, Werner Hanke
https://arxiv.org/abs/2509.22274

Continuum theory for topological phase transitions in exciton systems
An effective continuum theory is constructed for the topological phase transition of excitons in quasi-two-dimensional systems. These topological excitons crucially determine the optoelectronic properties, because of their larger binding energies in 2D as well as their topologically enhanced exciton transport. The core idea of this letter is, that the essential physics determining the topological invariants across the phase transition is localized near $N$-fold band-crossing points (BCPs) in th…

On the growth of Tate-Shafarevich groups of $p$-supersingular abelian varieties of ${\rm GL}_2$-type over $\mathbb{Z}_p$-extensions of number fields
Erman Isik, Antonio Lei
https://arxiv.org/abs/2510.11511

On the growth of Tate-Shafarevich groups of $p$-supersingular abelian varieties of ${\rm GL}_2$-type over $\mathbb{Z}_p$-extensions of number fields
We study the boundedness of the Mordell-Weil rank and the growth of the $v$-primary part of the Tate-Shafarevich group of $p$-supersingular abelian varieties of ${\rm GL}_2$-type with real multiplication over $\mathbb{Z}_p$-extensions of number fields, where $v$ is a prime lying above $p$. Building on the work of Iovita-Pollack in the case of elliptic curves, under precise ramification and splitting conditions on $p$, we construct explicit systems of local points using the theory of Lubin-Tate …

Machine learning approach to QCD kinetic theory
Sergio Barrera Cabodevila, Aleksi Kurkela, Florian Lindenbauer
https://arxiv.org/abs/2509.26374 https://arx…

Machine learning approach to QCD kinetic theory
The effective kinetic theory (EKT) of QCD provides a possible picture of various non-equilibrium processes in heavy- and light-ion collisions. While there have been substantial advances in simulating the EKT in simple systems with enhanced symmetry, eventually, event-by-event simulations will be required for a comprehensive phenomenological modeling. As of now, these simulations are prohibitively expensive due to the numerical complexity of the Monte Carlo evaluation of the collision kernels. I…

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.

Active-Learning Inspired Ab Initio Theory-Experiment Loop Approach for Management of Material Defects: Application to Superconducting Qubits
Sarvesh Chaudhari, Cristobal Mendez, Rushil Choudhary, Tathagata Banerjee, Maciej Olszewski, Jadrien Paustian, Jaehong Choi, Zhaslan Baraissov, Raul Hernandez, David Muller, Britton Plourde, Gregory Fuchs, Valla Fatemi, Tomas Arias

Active-Learning Inspired Ab Initio Theory-Experiment Loop Approach for Management of Material Defects: Application to Superconducting Qubits
Surface oxides are associated with two-level systems (TLSs) that degrade the performance of niobium-based superconducting quantum computing devices. To address this, we introduce a predictive framework for selecting metal capping layers that inhibit niobium oxide formation. Using DFT-calculated oxygen interstitial and vacancy energies as thermodynamic descriptors, we train a logistic regression model on a limited set of experimental outcomes to successfully predict the likelihood of oxide forma…

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…

Robustness of classical nucleation theory to chemical heterogeneity of crystal nucleating substrates
Fernanda Sulantay Vargas, Sarwar Hussain, Amir Haji-Akbari
https://arxiv.org/abs/2510.01420

Robustness of classical nucleation theory to chemical heterogeneity of crystal nucleating substrates
Heterogeneous nucleation is a process wherein extrinsic impurities facilitate freezing by lowering nucleation barriers and constitutes the dominant mechanism for crystallization in most systems. Classical nucleation theory (\textsc{Cnt}) has been remarkably successful in predicting the kinetics of heterogeneous nucleation, even on chemically and topographically non-uniform surfaces, despite its reliance on several restrictive assumptions, such as the idealized spherical-cap geometry of the crys…

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…

Field Theoretic Approach to Interacting Two Body Tunneling
Guo Ye
https://arxiv.org/abs/2510.11656 https://arxiv.org/pdf/2510.11656

Field Theoretic Approach to Interacting Two Body Tunneling
Two body tunneling problems are hard to treat analytically due to the incompatibility between tunneling and perturbation theory. The lack of classical solutions of the Euclidean Lagrangian of continuous systems further thwarts semi-classical expansions. To develop an analytic theory which provides insight on interacting two-particle tunneling, we use new results to derive the Bethe-Salpeter equation of a tunneling field theory with Yukawa coupling. We show that in the one plus one dimensional c…

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 …

Embedding General Conservation Constraints in Discretizations of Hyperbolic Systems on Arbitrary Meshes: A Multidimensional Framework
R\'emi Abgrall, Pierre-Henri Maire, Mario Ricchiuto
https://arxiv.org/abs/2509.25967

Embedding General Conservation Constraints in Discretizations of Hyperbolic Systems on Arbitrary Meshes: A Multidimensional Framework
The purpose of this review is to discuss the notion of conservation in hyperbolic systems and how one can formulate it at the discrete level depending on the solution representation of the solution. A general theory is difficult. We discuss several possibilities: if the solution is represented by average in volumes; if the mesh is staggerred; if the solution is solely represented by point values and an example where all the previous options are mixed. We show how each configuration can provid…

Crosslisted article(s) found for cs.FL. https://arxiv.org/list/cs.FL/new
[1/1]:
- Unreliability in Practical Subclasses of Communicating Systems
Amrita Suresh, Nobuko Yoshida

PySymmetry: A Sage/Python Framework for the Symmetry Reduction of Linear G-Equivariant Systems
Leon D. da Silva, Marcelo P. Santos
https://arxiv.org/abs/2509.19479 https://

PySymmetry: A Sage/Python Framework for the Symmetry Reduction of Linear G-Equivariant Systems
Despite the prevalence of symmetry in scientific linear systems, these structural properties are often underutilized by standard computational software. This paper introduces PySymmetry, an open-source Sage/Python framework that implements classical representation theory to simplify G-equivariant linear systems. PySymmetry uses projection operators to generate symmetry-adapted bases, transforming equivariant operators into a more efficient block-diagonal form. Its functionalities include defini…

Replaced article(s) found for math.CT. https://arxiv.org/list/math.CT/new
[1/1]:
- Stratifying systems and Jordan-H\"{o}lder extriangulated categories
Thomas Br\"ustle, Souheila Hassoun, Amit Shah, Aran Tattar

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 …

A Rate-Distortion Bound for ISAC
Mohammadreza Bakhshizadeh Mohajer, Alex Dytso, Daniela Tuninetti, Luca Barletta
https://arxiv.org/abs/2510.08487 https://a…

A Rate-Distortion Bound for ISAC
This paper addresses the fundamental performance limits of Integrated Sensing and Communication (ISAC) systems by introducing a novel converse bound based on rate-distortion theory. This rate-distortion bound (RDB) overcomes the restrictive regularity conditions of classical estimation theory, such as the Bayesian Cramér-Rao Bound (BCRB). The proposed framework is broadly applicable, holding for arbitrary parameter distributions and distortion measures, including mean-squared error and probabi…

Multi-objective Bayesian optimization for blocking in extreme value analysis and its application in additive manufacturing
Shehzaib Irfan, Nabeel Ahmad, Alexander Vinel, Daniel F. Silva, Shuai Shao, Nima Shamsaei, Jia Liu
https://arxiv.org/abs/2510.11960

Multi-objective Bayesian optimization for blocking in extreme value analysis and its application in additive manufacturing
Extreme value theory (EVT) is well suited to model extreme events, such as floods, heatwaves, or mechanical failures, which is required for reliability assessment of systems across multiple domains for risk management and loss prevention. The block maxima (BM) method, a particular approach within EVT, starts by dividing the historical observations into blocks. Then the sample of the maxima for each block can be shown, under some assumptions, to converge to a known class of distributions, which …

Real decomposable maps on operator systems
David P. Blecher, Christiaan H. Pretorius
https://arxiv.org/abs/2509.17708 https://arxiv.org/pdf/2509.17708

Real decomposable maps on operator systems
We initiate and study the theory of ``real decomposable maps" between real operator systems. (Formally, this is new even in the complex case, which hitherto has restricted itself to the case where the systems are complex $C^*$-algebras.) We investigate how the definition interacts with the existing theory (which it generalizes) and with the complexification. A surprising term appears in the `Jordan decomposition' of real decomposable maps. This term constitutes a new class of completely bounded…

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…

Constraining the Cosmological Evolution of Post-Newtonian Parameters with Gravitational Wave Signals from Compact Binary Inspirals
Oliver Pitt, Timothy Clifton
https://arxiv.org/abs/2510.08756

Constraining the Cosmological Evolution of Post-Newtonian Parameters with Gravitational Wave Signals from Compact Binary Inspirals
Gravitational waves from compact binary inspirals offer a new opportunity to constrain the cosmological time dependence of gravitational coupling parameters, due to the high precision of the observations themselves as well as the significant cosmological redshifts at which such systems exist. We calculate theory-independent equations of motion for compact objects in a binary system, implementing a new approach to sensitivities, and subsequently determine the gravitational wave signal that one s…

Crosslisted article(s) found for math.SP. https://arxiv.org/list/math.SP/new
[1/1]:
- Spectral and Nilpotent Matrix Orderings: Comparison and Applications in Dynamic Systems
Shih-Yu Chang

Limit cycles and invariant algebraic curves
Armengol Gasull, Paulo Santana
https://arxiv.org/abs/2510.11705 https://arxiv.org/pdf/2510.11705

Limit cycles and invariant algebraic curves
We give lower bounds in terms of~$n,$ for the number of limit cycles of polynomial vector fields of degree~$n,$ having any prescribed invariant algebraic curve. By applying them when the ovals of this curve are also algebraic limit cycles we obtain a new recurrent property for the Hilbert numbers. Finally, we apply our results to two important families of models: Kolmogorov systems and a general family of systems appearing in Game Theory.

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…

Nonlinear Optical Response in Pseudo-Hermitian Systems at Steady State
S. Sajad Dabiri, Reza Asgari
https://arxiv.org/abs/2510.06580 https://arxiv.org/pdf/…

Nonlinear Optical Response in Pseudo-Hermitian Systems at Steady State
We establish a steady-state theory for nonlinear optical conductivity in pseudo-Hermitian systems. We derive compact formulas for the first and second order conductivity tensors in both the velocity and length gauges and prove their exact equivalence through generalized sum rules and Berry connection identities by formulating the nonlinear response in terms of a biorthogonal density matrix. Utilizing the formalism on parity-time symmetric two-level systems reveals nonlinear phenomena that are n…

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…

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…

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…

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…

Learning functions, operators and dynamical systems with kernels
Lorenzo Rosasco
https://arxiv.org/abs/2509.18071 https://arxiv.org/pdf/2509.18071

Learning functions, operators and dynamical systems with kernels
This expository article presents the approach to statistical machine learning based on reproducing kernel Hilbert spaces. The basic framework is introduced for scalar-valued learning and then extended to operator learning. Finally, learning dynamical systems is formulated as a suitable operator learning problem, leveraging Koopman operator theory.

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…

Open-closed maps and spectral local systems
Noah Porcelli, Ivan Smith
https://arxiv.org/abs/2509.21483 https://arxiv.org/pdf/2509.21483

Open-closed maps and spectral local systems
Let $X$ be a graded Liouville domain. Fix a pair of infinite loop spaces $Ψ= (Θ\to Φ)$ living over $(BO \to BU)$. This determines a spectral Fukaya category $\mathcal{F}(X;Ψ)$ whenever $TX$ lifts to $Φ$, containing closed exact Lagrangians $L$ for which $TL$ lifts compatibly to $Θ$; and by Bott periodicity and index theory, a Thom spectrum $R$ with bordism theory $R_*$. This paper has two main goals: we incorporate rank one spectral local systems $ξ: L \to BGL_1(R)$ into the spectral c…

Haag Duality for 2D Quantum Spin Systems
Yoshiko Ogata, David P\'erez-Garc\'ia, Alberto Ruiz-de-Alarc\'on
https://arxiv.org/abs/2509.23734 https://

Haag Duality for 2D Quantum Spin Systems
Haag duality is a strong notion of locality for two-dimensional lattice quantum spin systems, requiring that the commutant of the algebra of observables supported in a cone-like region coincides with the algebra of observables in its complement. Originally introduced within algebraic quantum field theory, Haag duality has recently become pivotal in the operator-algebraic analysis of quantum many-body systems. In particular, it plays a key role in the description of anyonic excitations, which ar…

Extreme Value Theory-enhanced Radio Maps for Handovers in Ultra-reliable Communications
Dian Echevarr\'ia P\'erez, Onel L. Alcaraz L\'opez, Hirley Alves
https://arxiv.org/abs/2509.22547

Extreme Value Theory-enhanced Radio Maps for Handovers in Ultra-reliable Communications
Efficient handover (HO) strategies are essential for maintaining the stringent performance requirements of ultra-reliable communication (URC) systems. This work introduces a novel HO framework designed from a physical-layer perspective, where the decision-making process focuses on determining the optimal time and location for performing HOs. Leveraging extreme value theory (EVT) and statistical radio maps, the proposed method predicts signal behaviour and enables efficient resource allocation. …

Global forms of $\mathcal{N}=4$ theories and non-minimal Seiberg-Witten solutions
Robert Moscrop
https://arxiv.org/abs/2510.02055 https://arxiv.org/pdf/251…

Global forms of $\mathcal{N}=4$ theories and non-minimal Seiberg-Witten solutions
To each four dimensional $\mathcal{N}\geq 2$ supersymmetric quantum field theory, one can associate an algebraic completely integrable (ACI) system that encodes the low energy dynamics of theory. In this paper we explicitly derive the appropriate ACI systems for the global forms of $\mathcal{N}=4$ super Yang-Mills (sYM) using isogenies of polarised abelian varieties. In doing so, we relate the complex moduli of the resulting varieties to the exactly marginal coupling of the theory, thus allowin…

Replaced article(s) found for cs.IT. https://arxiv.org/list/cs.IT/new
[1/1]:
- Physics-Aware Sparse Signal Recovery Through PDE-Governed Measurement Systems
Tadashi Wadayama, Koji Igarashi, Takumi Takahashi

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 …

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…

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 …

Replaced article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/1]:
- Pesin theory for transcendental maps and applications
Anna Jov\'e
https:/…

Finite-size fluctuations for stochastic coupled oscillators: A general theory
Rupak Majumder, Julien Barr\'e, Shamik Gupta
https://arxiv.org/abs/2510.02448 https://

Finite-size fluctuations for stochastic coupled oscillators: A general theory
Phase transitions, sharp in the thermodynamic limit, get smeared in finite systems where macroscopic order-parameter fluctuations dominate. Achieving a coherent and complete theoretical description of these fluctuations is a central challenge. We develop a general framework to quantify these finite-size effects in synchronization transitions of generic stochastic, globally-coupled nonlinear oscillators. By applying a center-manifold reduction to the nonlinear stochastic PDE for the single-oscil…

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…

QBism and relational interpretation of quantum mechanics from the point of view of a contextual quantum realism (CQR)
Francois-Igor Pris
https://arxiv.org/abs/2510.09237 https:/…

QBism and relational interpretation of quantum mechanics from the point of view of a contextual quantum realism (CQR)
A realist interpretation of quantum mechanics is proposed - Contextual Quantum Realism (CQR) - according to which there exists a categorical distinction between the ideal (theory, observation instrument) and the real (quantum physical systems, properties), and, consequently, quantum ontology is context-sensitive. CQR is compared with QBism and Relational Quantum Mechanics (RQM), both of which also claim to offer realist interpretations. However, both approaches conflate the ideal and the real, …

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…

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 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…

Functional Information Decomposition: A First-Principles Approach to Analyzing Functional Relationships
Clifford Bohm, Vincent R. Ragusa, Arend Hintze, Christoph Adami
https://arxiv.org/abs/2509.18522 …

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…

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…

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…

Eigenstate Thermalization in 1 1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions
Diptarka Das, Lukas Ebner, Saurabh V. Kadam, Indrakshi Raychowdhury, Andreas Sch\"afer, Xiaojun Yao
https://arxiv.org/abs/2509.18269

Turing instability and 2-D pattern formation in reaction-diffusion systems derived from kinetic theory
Stefano Boccelli, Giorgio Martal\`o, Romina Travaglini
https://arxiv.org/abs/2509.20268

Turing instability and 2-D pattern formation in reaction-diffusion systems derived from kinetic theory
We investigate Turing instability and pattern formation in two-dimensional domains for two reaction-diffusion models, obtained as diffusive limits of kinetic equations for mixtures of monatomic and polyatomic gases. The first model is of Brusselator type, which, compared with the classical formulation, presents an additional parameter whose role in stability and pattern formation is discussed. In the second framework, the system exhibits standard nonlinear diffusion terms typical of predator-pr…

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 …

A Theoretically-Grounded Codebook for Digital Semantic Communications
Lingyi Wang, Rashed Shelim, Walid Saad, Naren Ramakrishnan
https://arxiv.org/abs/2510.07108 https://…

A Theoretically-Grounded Codebook for Digital Semantic Communications
The use of a learnable codebook provides an efficient way for semantic communications to map vector-based high-dimensional semantic features onto discrete symbol representations required in digital communication systems. In this paper, the problem of codebook-enabled quantization mapping for digital semantic communications is studied from the perspective of information theory. Particularly, a novel theoretically-grounded codebook design is proposed for jointly optimizing quantization efficiency…

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…

Fidelity zeros and Lee-Yang theory of quantum phase transitions
Tian-Yi Gu, Gaoyong Sun
https://arxiv.org/abs/2509.20258 https://arxiv.org/pdf/2509.20258…

Fidelity zeros and Lee-Yang theory of quantum phase transitions
Lee-Yang theory is central to the analysis of thermal phase transitions. However, the underlying mechanism of the theory and the nature of Lee-Yang zeros in quantum many-body systems remains elusive. Here, we develop a unified framework for understanding quantum phase transitions from fidelity zeros induced by symmetry breaking. These zeros, arising from transitions between symmetry sectors, obey the Lee-Yang theorem and give rise to fidelity edges near critical points. Quantum criticality is f…

Quantum internal vibrations in macroscopic systems with classical centers of mass
Gabriel H. S. Aguiar, George E. A. Matsas
https://arxiv.org/abs/2509.22429 https://

Quantum internal vibrations in macroscopic systems with classical centers of mass
Harmonizing classical and quantum worlds is a major challenge for modern physics. A significant portion of the scientific community supports the notion that classical mechanics is an effective theory that arises from quantum mechanics. Recently, the present authors have argued that this should not be the case, as quantum mechanics is not trustworthy for describing the center of mass of systems with masses $m$ much larger than the Planck mass $M_\text{P}$. In this vein, a simple gravitational se…

Replaced article(s) found for math.DS. https://arxiv.org/list/math.DS/new
[1/1]:
- Ergodic Action Semigroups which Was Inspired by Pesin's Theory
Ali Sarizadeh