Tootfinder

Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
G. L. Klimchitskaya, V. M. Mostepanenko
https://arxiv.org/abs/2510.00672

Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
We review and obtain some new results on the temperature dependence of spatially nonlocal response functions of graphene and their applications to calculation of both the equilibrium and nonequilibrium Casimir and Casimir-Polder forces. After a brief summary of the properties of the polarization tensor of graphene obtained within Dirac model in the framework of quantum field theory, we derive the expressions for the longitudinal and transverse dielectric functions. The behavior of these functio…

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…

Space impacts temporal processing via a visual-dependent spatially organized neural architecture https://doi.org/10.1523/jneurosci.1444-24.2025 "spatial features affected the temporal processing of sighted but not blind people, regardless of age."

Space impacts temporal processing via a visual-dependent spatially organized neural architecture
Establishing the temporal relationship between stimuli challenges the brain, requiring some tolerance for asynchronies to form coherent representations. Based on the theory of implicit causal inference, we hypothesized temporal processing of events is influenced by spatial features as stimuli coming from the same spatial location are most likely to derive from a common source and, consequently, implicitly merged in time. As visual experience guides the formation of neural sensory maps, we expec…

On the universal content of the proper time flow in scalar and Yang-Mills theories
Gabriele Giacometti, Daniele Rizzo, Dario Zappala
https://arxiv.org/abs/2510.04896 https://

On the universal content of the proper time flow in scalar and Yang-Mills theories
We investigate the perturbative structure of the proper time renormalization group flow in scalar and Yang-Mills theories. Although the PT flow does not belong to the class of exact functional renormalization group equations, we show that it correctly reproduces the universal coefficients of the $β$-functions at one and two loops. For the ${\rm O(N)}$ scalar theory, we derive the one- and two-loop contributions to the running quartic coupling and also confirm the expected anomalous dimension. …

On the tangent bundle and the divisor theory of a general matroid
Ronnie Cheng
https://arxiv.org/abs/2510.06609 https://arxiv.org/pdf/2510.06609

On the tangent bundle and the divisor theory of a general matroid
For a loopless matroid $M$, we construct a $K$-class $T_M\in K(X_{M})$. When $M$ is realizable, $T_M$ recovers the $K$-class of the tangent bundle of the wonderful compactification $W_L$. We derive two formulas for the total Chern class of $T_M$ and prove that the associated Todd class agrees with the Todd class appearing in the matroid Hirzebruch--Riemann--Roch formula. We define a ``fake effective cone'' so that big and nef divisors in a matroid can be characterized in a manner analogous to h…

Equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroids
Alice L. L. Gao, Yun Li, Matthew H. Y. Xie
https://arxiv.org/abs/2510.11322 https://

Equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroids
In this paper, we focus on the equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroids, a natural family of graphic matroids associated with the complete tripartite graphs $K_{1,1,n}$. These polynomials were introduced by Proudfoot as an extension of the Kazhdan--Lusztig theory for matroids. We derive closed-form expressions for the $\mathfrak{S}_n$-equivariant inverse Kazhdan--Lusztig polynomials of thagomizer matroids and present them explicitly in terms of the irreducible rep…

Origin of pressure-flow non-linearity in two-phase intermittent flow in porous media
Paolo Botticini, Davide Picchi, Santanu Sinha, Alex Hansen
https://arxiv.org/abs/2510.12588 …

Origin of pressure-flow non-linearity in two-phase intermittent flow in porous media
This study presents a first-principles model to predict the two-phase pressure drop in gas-liquid intermittent flow through round capillaries, which serve as the simplest analogous of a porous medium. Building upon the classical capillary flow theory, we derive a model for a train of elongated bubbles, and rigorously quantify its validity in terms of the dimensionless parameters of the problem (capillary number, number of bubbles, gas volume fraction, and channel length-to-diameter ratio). The …

Time Averaged Statistics of the 3D Stochastic Ladyzenskaya-Smagorinsky Equations
Wai-Tong Louis Fan, Ali Pakzad
https://arxiv.org/abs/2510.12004 https://ar…

Time Averaged Statistics of the 3D Stochastic Ladyzenskaya-Smagorinsky Equations
Due to the chaotic nature of turbulence, statistical quantities are often more informative than pointwise characterizations. In this work, we consider the stochastic Ladyzhenskaya-Smagorinsky equation driven by space-time Gaussian noise on a three-dimensional periodic domain. We derive a rigorous upper bound on the first moment of the energy dissipation rate and show that it remains finite in the vanishing viscosity limit, consistent with Kolmogorov's phenomenological theory. This estimate also…

Finite element analysis of an eigenvalue problem arising from neutron transport
Nicol\'as A. Barnafi, Felipe Lepe, Francisca Mu\~noz Riquelme
https://arxiv.org/abs/2510.05368

Finite element analysis of an eigenvalue problem arising from neutron transport
In two and three dimensions, we analyze a finite element method to approximate the solutions of an eigenvalue problem arising from neutron transport. We derive the eigenvalue problem of interest, which results to be non-symmetric. Under a standard finite element approximation based on piecewise polynomials of degree $k \geq 1$, and under the framework of the compact operators theory, we prove convergence and error estimates of the proposed method. We report a series of numerical tests in order …

Taming forward scattering singularities in partial waves
Marta Fuentes Zamoro, Benjam\'in Grinstein, Pablo Qu\'ilez
https://arxiv.org/abs/2510.08784 https://

Taming forward scattering singularities in partial waves
Perturbative partial-wave amplitudes diverge in cases with a massless exchanged particle in the $t$-channel. We argue that the divergence is an artifact of perturbation theory and give a prescription for the all-orders correction factor that renders the partial waves finite. As an example, we apply this to longitudinal $W^+W^-$ elastic scattering, for which there is a photon exchange $t$-channel contribution, and derive improved quasi-perturbative unitarity bounds on the mass of the Higgs. The …

Dyonically charged black holes in Weyl conformal gravity
Reinosuke Kusano, Miguel Yulo Asuncion, Keith Horne
https://arxiv.org/abs/2510.05701 https://arxiv…

Dyonically charged black holes in Weyl conformal gravity
We present a parametric study of the spacetime structures in the dyonic Reissner-Nordström solution in Weyl's conformal theory of gravity. We derive expressions for photon sphere radii and horizons for this metric in terms of the conformal gravity parameters, from which we then obtain analytic formulae for extremal limits and Hawking temperatures. Due to the surprising lack of the inverse quadratic $1/r^2$ term in this fourth-order metric, there is no guarantee for the innermost horizon of a b…

Witten Effect in $3$-Form Description of $\theta$-vacua
Maximilian Bachmaier, Gia Dvali, Juan Sebasti\'an Valbuena-Berm\'udez
https://arxiv.org/abs/2510.05237 https://…

Witten Effect in $3$-Form Description of $θ$-vacua
The $θ$-vacua of a gauge theory admit an equivalent formulation as vacua of a massless Chern-Simons $3$-form, which originate from the topological susceptibility of the vacuum. This formulation provides a framework in which the physical manifestations of the $θ$-angle, which are quantum in origin, can be captured at the level of effective classical equations of motion. Within this framework, we derive the Witten effect, demonstrating that in the background of a massless $3$-form, the magnetic…

Precise Dynamics of Diagonal Linear Networks: A Unifying Analysis by Dynamical Mean-Field Theory
Sota Nishiyama, Masaaki Imaizumi
https://arxiv.org/abs/2510.01930 https://

Precise Dynamics of Diagonal Linear Networks: A Unifying Analysis by Dynamical Mean-Field Theory
Diagonal linear networks (DLNs) are a tractable model that captures several nontrivial behaviors in neural network training, such as initialization-dependent solutions and incremental learning. These phenomena are typically studied in isolation, leaving the overall dynamics insufficiently understood. In this work, we present a unified analysis of various phenomena in the gradient flow dynamics of DLNs. Using Dynamical Mean-Field Theory (DMFT), we derive a low-dimensional effective process that …

Functional Connectivity Networks for Transportation Delay Analysis: from Theory to Software
Carlson Moses B\"uth, Massimiliano Zanin
https://arxiv.org/abs/2510.05143 https:…

Functional Connectivity Networks for Transportation Delay Analysis: from Theory to Software
Within the endeavour of modelling and understanding the propagation of delays in transportation networks, an approach that has attracted increasing interest in the last decade is the creation of functional network representations. These graphs map elements of interest (e.g. airports or stations) as nodes, and derive pairwise propagation patterns from their dynamics through correlation and causality tests. In spite of multiple notable results, this approach still lacks a coherent framework, with…

Mean-Field Price Formation on Trees
Masaaki Fujii
https://arxiv.org/abs/2510.11261 https://arxiv.org/pdf/2510.11261…

Mean-Field Price Formation on Trees
In this work, we combine the mean-field game theory with the classical idea of binomial tree framework, pioneered by Sharpe and Cox, Ross & Rubinstein, to solve the equilibrium price formation problem for the stock. For agents with exponential utilities and recursive utilities of exponential type, we prove the existence of a unique mean-field equilibrium and derive an explicit formula for equilibrium transition probabilities of the stock price by restricting its trajectories onto a binomial tre…

Invariant Price of Anarchy: a Metric for Welfarist Traffic Control
Ilia Shilov, Mingjia He, Heinrich H. Nax, Emilio Frazzoli, Gioele Zardini, Saverio Bolognani
https://arxiv.org/abs/2512.05843 https://arxiv.org/pdf/2512.05843 https://arxiv.org/html/2512.05843
arXiv:2512.05843v1 Announce Type: new
Abstract: The Price of Anarchy (PoA) is a standard metric for quantifying inefficiency in socio-technical systems, widely used to guide policies like traffic tolling. Conventional PoA analysis relies on exact numerical costs. However, in many settings, costs represent agents' preferences and may be defined only up to possibly arbitrary scaling and shifting, representing informational and modeling ambiguities. We observe that while such transformations preserve equilibrium and optimal outcomes, they change the PoA value. To resolve this issue, we rely on results from Social Choice Theory and define the Invariant PoA. By connecting admissible transformations to degrees of comparability of agents' costs, we derive the specific social welfare functions which ensure that efficiency evaluations do not depend on arbitrary rescalings or translations of individual costs. Case studies on a toy example and the Zurich network demonstrate that identical tolling strategies can lead to substantially different efficiency estimates depending on the assumed comparability. Our framework thus demonstrates that explicit axiomatic foundations are necessary in order to define efficiency metrics and to appropriately guide policy in large-scale infrastructure design robustly and effectively.
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Taylor-like approximations of center manifolds for rough differential equations
Alexandra Blessing, Dennis Rudik
https://arxiv.org/abs/2510.00971 https://a…

Taylor-like approximations of center manifolds for rough differential equations
The dynamics of rough differential equations (RDEs) has recently received a lot of interest. For example, the existence of local random center manifolds for RDEs has been established. In this work, we present an approximation for local random center manifolds for RDEs driven by geometric rough paths. To this aim, we combine tools from rough path and deterministic center manifold theory to derive Taylor-like approximations of local random center manifolds. The coefficients of this approximation …

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…

Linear Recurrent Sequences, Markov Chains and Their Applications in Graph Theory
Rebecca Carter, M. Ram Murty
https://arxiv.org/abs/2510.03537 https://arxi…

Linear Recurrent Sequences, Markov Chains and Their Applications in Graph Theory
After a brief review of the key theorems concerning recurrent sequences, we give an explicit computation of the inverse of the Vandermonde matrix. This will then be used to derive sub-exponential decay error terms in the ergodic theorem of Markov chains. Finally, we apply these results to give estimates for the diameters of directed graphs.

Quantum Reverse Shannon Theorem Simplified
Gilad Gour
https://arxiv.org/abs/2510.04552 https://arxiv.org/pdf/2510.04552

Quantum Reverse Shannon Theorem Simplified
We revisit the quantum reverse Shannon theorem, a central result in quantum information theory that characterizes the resources needed to simulate quantum channels when entanglement is freely available. We derive a universal additive upper bound on the smoothed max-information in terms of the sandwiched Rényi mutual information. This bound yields tighter single-shot results, eliminates the need for the post-selection technique, and leads to a conceptually simpler proof of the quantum reverse S…

First-Order Axial Perturbation of the Reissner-Nordstr\"om Metric In a Possible Chern-Simons Gravity Background
Abhishek Rout, Brett Altschul
https://arxiv.org/abs/2510.01106

First-Order Axial Perturbation of the Reissner-Nordström Metric In a Possible Chern-Simons Gravity Background
We axial perturbations of Reissner-Nordström black holes within the framework of Chern-Simons modified gravity, a theory with includes parity violation. We derive the governing equations for the perturbations, focusing on the radial function $R(r)$ and its behavior across distinct regions: near the singularity ($r \rightarrow 0$), between the inner and outer Reissner-Nordström horizons ($r_-< r< r_+$), and in the asymptotic regime ($r \rightarrow \infty$). Using a combination of analytical an…

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…

Time domain braiding of anyons revealed through a nonequilibrium fluctuation dissipation theorem
Ines Safi
https://arxiv.org/abs/2510.10525 https://arxiv.o…

Time domain braiding of anyons revealed through a nonequilibrium fluctuation dissipation theorem
We derive a novel fluctuation--dissipation theorem (FDT) valid for nonequilibrium initial states that imprint the braiding of anyons in the time domain. The derivation is carried out within the Unifying Nonequilibrium Perturbative Theory (UNEPT), which applies to both standard reservoir geometries and configurations with one or two quantum point contacts (QPCs) injecting dilute anyonic fluxes. Based on this FDT, we propose complementary methods to determine the time-domain braiding phase. The f…

Regularity theory for mixed local-nonlocal problem involving general stable operators
Pedro Fellype Pontes, Minbo Yang
https://arxiv.org/abs/2510.06569 https://

Regularity theory for mixed local-nonlocal problem involving general stable operators
In this paper, we study the regularity of solutions to a linear elliptic equation involving a mixed local-nonlocal operator of the form $$Lu - \operatorname{div}\big(a(x)\nabla u(x)\big)= f, \quad \text{in } Ω\subset \mathbb{R}^n,$$ where $L$ is a general stable Lévy type operator and $a(\cdot)$ is a positive Hölder continuous weight. By establishing a maximum principle and a Liouville-type result in the entire space, we are able to derive the interior regularity and the regularity up to the…

A new $1/(1-\rho)$-scaling bound for multiserver queues via a leave-one-out technique
Yige Hong
https://arxiv.org/abs/2510.11015 https://arxiv.org/pdf/2510…

A new $1/(1-ρ)$-scaling bound for multiserver queues via a leave-one-out technique
Bounding the queue length in a multiserver queue is a central challenge in queueing theory. Even for the classic $GI/GI/n$ queue with homogeneous servers, it is highly non-trivial to derive a simple and accurate bound for the steady-state queue length that holds across all scaling regimes. A recent breakthrough by Li and Goldberg (2025) establishes bounds that scale as $1/(1-ρ)$ for any load $ρ< 1$ and number of servers $n$, which is the correct scaling in many well-known scaling regimes, inc…

Quantum Fisher information matrices from R\'enyi relative entropies
Mark M. Wilde
https://arxiv.org/abs/2510.02218 https://arxiv.org/pdf/2510.02218

Quantum Fisher information matrices from Rényi relative entropies
Quantum generalizations of the Fisher information are important in quantum information science, with applications in high energy and condensed matter physics and in quantum estimation theory, machine learning, and optimization. One can derive a quantum generalization of the Fisher information matrix in a natural way as the Hessian matrix arising in a Taylor expansion of a smooth divergence. Such an approach is appealing for quantum information theorists, given the ubiquity of divergences in qua…

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…

There and Back Again: Bulk-to-Defect via Ward Identities
Jake Belton, Ziwen Kong
https://arxiv.org/abs/2510.08519 https://arxiv.org/pdf/2510.08519

There and Back Again: Bulk-to-Defect via Ward Identities
In conformal field theory, the presence of a defect partially breaks the global symmetry, giving rise to defect operators such as the tilts. In this work, we derive integral identities that relate correlation functions involving bulk and defect operators -- including tilts -- to lower-point bulk-defect correlators, based on a detailed analysis of the Lie algebra of the symmetry group before and after the defect-induced symmetry breaking. As explicit examples, we illustrate these identities for …

Quantitative Gaffney and Korn inequalities
Wadim Gerner
https://arxiv.org/abs/2510.05870 https://arxiv.org/pdf/2510.05870

Quantitative Gaffney and Korn inequalities
We prove a homogeneous, quantitative version of Ehrling's inequality for the function spaces $H^1(Ω)\subset\subset L^2(\partialΩ)$, $H^1(Ω)\hookrightarrow L^2(Ω)$ which reflects geometric properties of a given $C^{1,1}$-domain $Ω\subset\mathbb{R}^n$. We use this result to derive quantitative homogeneous versions of Gaffney's inequality, of relevance in electromagnetism as well as Korn's inequality, of relevance in elasticity theory. The main difference to the corresponding classical re…

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…

Sequestered Conformal Anomaly Mediation (SCAM)
Michael Nee, Lisa Randall
https://arxiv.org/abs/2510.11784 https://arxiv.org/pdf/2510.11784

Sequestered Conformal Anomaly Mediation (SCAM)
Supersymmetric models in singular extra dimensional spaces feature prominently in many interesting phenomenological models, including those derived from string theory. In this paper we explicitly derive the low energy theory of phenomenologically viable supersymmetric theories in five dimensions, and highlight several aspects of these models that are not obvious from working solely in the 4d effective theory. Important deviations arise for anomaly mediation, which is purported to be a predictiv…

A new effective theory for stochastic relativistic hydrodynamics
Nicki Mullins, Mauricio Hippert, Jorge Noronha
https://arxiv.org/abs/2510.00905 https://ar…

A new effective theory for stochastic relativistic hydrodynamics
Thermal fluctuations are a fundamental feature of dissipative systems that are essential for understanding physics near the expected critical point of QCD and in small systems. When such fluctuations are modeled naively in relativistic systems, strange features can appear such as negative self-correlation functions. We construct an effective theory for nonlinear stochastic relativistic hydrodynamics that ensure a well-posed mathematical formulation. Using Crooks fluctuation theorem, we derive a…

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…