Tootfinder

Optimization by VarQITE on Adaptive Variational Quantum Kolmogorov-Arnold Network
Hikaru Wakaura, Rahmat Mulyawan, Andriyan B. Suksmono
https://arxiv.org/abs/2506.22801

Optimization by VarQITE on Adaptive Variational Quantum Kolmogorov-Arnold Network
Quantum imaginary time evolution (QITE) is a powerful method to derive the ground states of the systems. Only the damping of quantum states leads it; hence, reaching the ground state is guaranteed by nature without any external manipulation. Numerous QITE methods by many groups are used to improve speed and accuracy, derive excited states, and solve combined optimization problems. However, the QITE methods have not been used for quantum machine learning to predict the ideal values for multiple …

Soft and virtual corrections to semi-inclusive DIS up to four loops in QCD
Saurav Goyal, Sven-Olaf Moch, Vaibhav Pathak, Narayan Rana, V. Ravindran
https://arxiv.org/abs/2506.24078

Soft and virtual corrections to semi-inclusive DIS up to four loops in QCD
We apply the threshold resummation formalism for semi-inclusive deep-inelastic scattering (SIDIS) to derive the soft and virtual corrections for the SIDIS cross section up to four loops in QCD. Using the recently computed next-to-next-to-leading order QCD corrections for the SIDIS cross section together with known results for the form factor and splitting functions in QCD up to four loops, we derive the complete soft and collinear contributions to the SIDIS coefficient functions at four-loop or…

Beyond Statistical Learning: Exact Learning Is Essential for General Intelligence
Andr\'as Gy\"orgy, Tor Lattimore, Nevena Lazi\'c, Csaba Szepesv\'ari
https://arxiv.org/abs/2506.23908

Beyond Statistical Learning: Exact Learning Is Essential for General Intelligence
Sound deductive reasoning -- the ability to derive new knowledge from existing facts and rules -- is an indisputably desirable aspect of general intelligence. Despite the major advances of AI systems in areas such as math and science, especially since the introduction of transformer architectures, it is well-documented that even the most advanced frontier systems regularly and consistently falter on easily-solvable deductive reasoning tasks. Hence, these systems are unfit to fulfill the dream o…

The Mock Draft project: 2025's most wanted fantasy football picks https://www.espn.com/fantasy/football/story/_/id/45616494/fantasy-football-expert-drafts-mock-draft-average-draft-positions…

Majoranas with a twist: Tunable Majorana zero modes in altermagnetic heterostructures
Andreas Hadjipaschalis, Sayed Ali Akbar Ghorashi, Jennifer Cano
https://arxiv.org/abs/2507.00119

Majoranas with a twist: Tunable Majorana zero modes in altermagnetic heterostructures
Altermagnetism provides new routes to realize Majorana zero modes with vanishing net magnetization. We consider a recently proposed heterostructure consisting of a semiconducting wire on top of an altermagnet and with proximity-induced superconductivity. We demonstrate that rotating the wire serves as a tuning knob to induce the topological phase. For $d$-, $g$- and $i$-wave altermagnetic pairing, we derive angle-dependent topological gap-closing conditions. We derive symmetry constraints on an…

Four-dimensional spectrum generating algebra for the superstring
Renann Lipinski Jusinskas, Aravindhan Srinivasan
https://arxiv.org/abs/2507.22973 https://…

Four-dimensional spectrum generating algebra for the superstring
We derive the spectrum generating algebra for the hybrid string with manifest $\mathcal{N}=1$ super Poincaré symmetry in $\mathbb{R}^{3,1}\times\mathbb{R}^{6}$. Our DDF operators establish a one-to-one correspondence with the conventional superstring spectrum, while making its four-dimensional structure manifest. We also discuss part of the antifield spectrum, and introduce a simple realization of the supersymmetry charges involving the $\mathbb{R}^{6}$ directions. As an application, we algebr…

This https://arxiv.org/abs/2408.00810 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

p-adic Equiangular Lines and p-adic van Lint-Seidel Relative Bound
We introduce the notion of p-adic equiangular lines and derive the first fundamental relation between common angle, dimension of the space and the number of lines. More precisely, we show that if $\{τ_j\}_{j=1}^n$ is p-adic $γ$-equiangular lines in $\mathbb{Q}^d_p$, then \begin{align*} (1) \quad\quad \quad \quad |n|^2\leq |d|\max\{|n|, γ^2 \}. \end{align*} We call Inequality (1) as the p-adic van Lint-Seidel relative bound. We believe that this complements funda…

The Cost of Restaking vs. Proof-of-Stake
Akaki Mamageishvili, Benny Sudakov
https://arxiv.org/abs/2505.24440 https://arxiv.org/pdf/25…

The Cost of Restaking vs. Proof-of-Stake
We compare the efficiency of restaking and Proof-of-Stake (PoS) protocols in terms of stake requirements. First, we consider the sufficient condition for the restaking graph to be secure. We show that the condition implies that it is always possible to transform such a restaking graph into secure PoS protocols. Next, we derive two main results, giving upper and lower bounds on required extra stakes that one needs to add to validators of the secure restaking graph to be able to transform it into…

A Domain-specific Language and Architecture for Detecting Process Activities from Sensor Streams in IoT
Ronny Seiger, Daniel Locher, Marco Kaufmann, Aaron F. Kurz
https://arxiv.org/abs/2507.00686

A Domain-specific Language and Architecture for Detecting Process Activities from Sensor Streams in IoT
Modern Internet of Things (IoT) systems are equipped with a plethora of sensors providing real-time data about the current operations of their components, which is crucial for the systems' internal control systems and processes. However, these data are often too fine-grained to derive useful insights into the execution of the larger processes an IoT system might be part of. Process mining has developed advanced approaches for the analysis of business processes that may also be used in the conte…

Refinements of provability and consistency principles for the second incompleteness theorem
Taishi Kurahashi
https://arxiv.org/abs/2507.00955 https://

Refinements of provability and consistency principles for the second incompleteness theorem
This paper continues the author's previous study \cite{Kura20}, showing that several weak principles inspired by non-normal modal logic suffice to derive various refined forms of the second incompleteness theorem. Among the main results of the present paper, we show that the set $\{\mathbf{E},\mathbf{C}, \mathbf{D3}\}$ suffices to establish the unprovability of the consistency statement $\neg\, \mathrm{Pr}_T(\ulcorner 0=1 \urcorner)$. We also prove that the set $\{\mathbf{E}^{\mathrm{U}}, \math…

T CrB: overview of the accretion history, Roche-lobe filling, orbital solution, and radiative modeling
U. Munari, F. Walter, N. Masetti, P. Valisa, S. Dallaporta, A. Bergamini, G. Cherini, A. Frigo, A. Maitan, C. Marino, G. Mazzacurati, S. Moretti, F. Tabacco, S. Tomaselli, A. Vagnozzi, P. Ochner, I. Albanese
https://arxiv.org/abs/2507.233…

T CrB: overview of the accretion history, Roche-lobe filling, orbital solution, and radiative modeling
(abridged) We aim to derive a robust estimate of the most important parameters describing the physical nature of T CrB, trace the accretion history onto its white dwarf, and account for the unexpected delay in the occurrence of the new outburst: the SAP prior to 1946 was brighter, and it was followed by the nova eruption within 6 months from its conclusion. This time the 2015-2023 SAP has been fainter and two years past its conclusion no new eruption has yet taken place. During 2005-2025, a per…

Bounds on the Excess Minimum Risk via Generalized Information Divergence Measures
Ananya Omanwar, Fady Alajaji, Tam\'as Linder
https://arxiv.org/abs/2505.24117

Bounds on the Excess Minimum Risk via Generalized Information Divergence Measures
Given finite-dimensional random vectors $Y$, $X$, and $Z$ that form a Markov chain in that order (i.e., $Y \to X \to Z$), we derive upper bounds on the excess minimum risk using generalized information divergence measures. Here, $Y$ is a target vector to be estimated from an observed feature vector $X$ or its stochastically degraded version $Z$. The excess minimum risk is defined as the difference between the minimum expected loss in estimating $Y$ from $X$ and from $Z$. We present a family of …

This https://arxiv.org/abs/2503.17228 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Mean value of cubic $L$-funcitons with fixed genus
We investigate the mean value of the first moment of primitive cubic $L$-functions over $\mathbb{F}_q(T)$ in the non-Kummer setting. Specifically, we study the sum \begin{equation*} \sum_{\substack{χ primitive\ cubic\\ genus(χ)=g}}L_q(\frac{1}{2}, χ), \end{equation*} where $L_q(s,χ)$ denotes the $L$-function associated with primitive cubic character $χ$. Using double Dirichlet series, we derive an error term of size $q^{(\frac{7}{8}+\varepsilon)g}$.

This https://arxiv.org/abs/2503.14328 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Risk-Sensitive Model Predictive Control for Interaction-Aware Planning -- A Sequential Convexification Algorithm
This paper considers risk-sensitive model predictive control for stochastic systems with a decision-dependent distribution. This class of systems is commonly found in human-robot interaction scenarios. We derive computationally tractable convex upper bounds to both the objective function, and to frequently used penalty terms for collision avoidance, allowing us to efficiently solve the generally nonconvex optimal control problem as a sequence of convex problems. Simulations of a robot navigatin…

Multiple-scale analysis of modified gravitational-wave propagation
Marco de Cesare, Mairi Sakellariadou, Benjamin Sutton
https://arxiv.org/abs/2507.23184 https://

Multiple-scale analysis of modified gravitational-wave propagation
We employ multiple-scale analysis to systematically derive analytical approximations describing the cosmological propagation of gravitational waves beyond general relativity, in a framework with two interacting spin-2 fields with time-dependent couplings. Such techniques allow us to accurately track the evolution of a system with slowly evolving time-dependent couplings over a large number of oscillation periods. We focus on tensor modes propagating on sub-horizon scales in a universe dominated…

A-optimal Designs under Generalized Linear Models
Yingying Yang, Xiaotian Chen, Jie Yang
https://arxiv.org/abs/2507.23240 https://arxiv.org/pdf/2507.23240

A-optimal Designs under Generalized Linear Models
We characterize and identify A-optimal designs under generalized linear models. When a predetermined finite set of experimental settings is given, we derive analytic solutions or establish necessary and sufficient conditions for obtaining A-optimal approximate allocations. We show that a lift-one algorithm based on our formulae may outperform commonly used algorithms for finding A-optimal allocations. When continuous factors or design regions get involved, we develop a ForLion algorithm that is…

Derivations of two one-dimensional models for transversely curved shallow shells: one leads to relaxation
Paroni Roberto, Picchi Scardaoni Marco
https://arxiv.org/abs/2507.23545

Derivations of two one-dimensional models for transversely curved shallow shells: one leads to relaxation
We study the $Γ$-limit of sequences of variational problems for straight, transversely curved shallow shells, as the width of the planform $\varepsilon$ goes to zero. The energy is of von Kármán type for shallow shells under suitable boundary conditions. What distinguishes the various regimes is the scaling of the stretching energy $\sim \varepsilon^{2β}$, with $β$ a positive number. We derive two one-dimensional models as $β$ ranges in $(0, 2]$. Remarkably, boundary conditions are esse…

New weighted Alexandrov-Fenchel type inequalities and Minkowski inequalities in space forms
Jie Wu
https://arxiv.org/abs/2506.22877 https://

New weighted Alexandrov-Fenchel type inequalities and Minkowski inequalities in space forms
In this paper, we establish a broad class of new sharp Alexandrov-Fenchel inequalities involving general convex weight functions for static convex hypersurfaces in hyperbolic space. Additionally, we derive new weighted Minkowski-type inequalities for static convex hypersurfaces in hyperbolic space $\mathbb{H}^n$ and for convex hypersurfaces in the sphere $\mathbb{S}^n$. The tools we shall use are the locally constrained inverse curvature flows in hyperbolic space and in the sphere.

Quickest Detection of Adversarial Attacks Against Correlated Equilibria
Kiarash Kazari, Aris Kanellopoulos, Gy\"orgy D\'an
https://arxiv.org/abs/2506.24040

Quickest Detection of Adversarial Attacks Against Correlated Equilibria
We consider correlated equilibria in strategic games in an adversarial environment, where an adversary can compromise the public signal used by the players for choosing their strategies, while players aim at detecting a potential attack as soon as possible to avoid loss of utility. We model the interaction between the adversary and the players as a zero-sum game and we derive the maxmin strategies for both the defender and the attacker using the framework of quickest change detection. We define…

XL-Calibur Polarimetry of Cyg X-1 Further Constrains the Origin of its Hard-state X-ray Emission
Hisamitsu Awaki, Matthew G. Baring, Richard Bose, Jacob Casey, Sohee Chun, Adrika Dasgupta, Pavel Galchenko, Ephraim Gau, Kazuho Goya, Tomohiro Hakamata, Takayuki Hayashi, Scott Heatwole, Kun Hu, Daiki Ishi, Manabu Ishida, Fabian Kislat, M\'ozsi Kiss, Kassi Klepper, Henric Krawczynski, Haruki Kuramoto, Lindsey Lisalda, Yoshitomo Maeda, Hironori Matsumoto, Shravan Vengalil Menon, Aiko Mi…

XL-Calibur Polarimetry of Cyg X-1 Further Constrains the Origin of its Hard-state X-ray Emission
The balloon-borne hard X-ray polarimetry mission XL-Calibur observed the Black Hole X-ray Binary (BHXRB) Cygnus X-1 (Cyg X-1) during its nearly six-day Long Duration Balloon (LDB) flight from Sweden to Canada in July 2024. The XL-Calibur observations allowed us to derive the most precise constraints to date of the Polarization Degree (PD) and Polarization Angle (PA) of the hard X-ray emission from a BHXRB. XL-Calibur observed Cyg X-1 in the hard state and measured a $\sim$19-64 keV PD of ($5.0^…

Error Estimates for the Arnoldi Approximation of a Matrix Square Root
James H. Adler, Xiaozhe Hu, Wenxiao Pan, Zhongqin Xue
https://arxiv.org/abs/2506.22615

Error Estimates for the Arnoldi Approximation of a Matrix Square Root
The Arnoldi process provides an efficient framework for approximating functions of a matrix applied to a vector, i.e., of the form $f(M)\mathbf{b}$, by repeated matrix-vector multiplications. In this paper, we derive an \textit{a priori} error estimate for approximating the action of a matrix square root using the Arnoldi process, where the integral representation of the error is reformulated in terms of the error for solving the linear system $M\mathbf{x}=\mathbf{b}$. The results extend the er…

Efficient Bayesian multi-fidelity inverse analysis for expensive and non-differentiable physics-based simulations in high stochastic dimensions
Jonas Nitzler, Bugrahan Z. Tem\"ur, Phaedon-Stelios Koutsourelakis, Wolfgang A. Wall
https://arxiv.org/abs/2505.24708

Efficient Bayesian multi-fidelity inverse analysis for expensive and non-differentiable physics-based simulations in high stochastic dimensions
High-dimensional Bayesian inverse analysis (dim >> 100) is mostly unfeasible for computationally demanding, nonlinear physics-based high-fidelity (HF) models. Usually, the use of more efficient gradient-based inference schemes is impeded if the multi-physics models are provided by complex legacy codes. Adjoint-based derivatives are either exceedingly cumbersome to derive or non-existent for practically relevant large-scale nonlinear and coupled multi-physics problems. Similarly, holistic automa…

Symmetry-protected conservation of superhorizon inflationary perturbations to all loops
Cheng-Jun Fang, Zhen-Hong Lyu, Chao Chen, Zong-Kuan Guo
https://arxiv.org/abs/2507.00077

Symmetry-protected conservation of superhorizon inflationary perturbations to all loops
We demonstrates that the single-field inflation field system exhibits a symmetry that constrains its evolution via the Ward identity even for non-attractor inflation. By analyzing loop diagram structures, we derive a superhorizon conserved quantity directly related to the two-point correlation function of curvature perturbations, generalizing previous one-loop results to arbitrary loop orders. This symmetry-based approach provides a framework for understanding quantum conservation laws beyond t…

This https://arxiv.org/abs/2412.16761 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

Non-asymptotic Error Analysis of Subspace Identification for Deterministic Systems
The subspace identification method (SIM) has been extensively employed in the identification of discrete-time multiple-input multiple-output (MIMO) linear time-invariant (LTI) systems. This paper focuses on the analysis of perturbation errors for the system matrices in state-space models and the corresponding system poles, under two unified SIMs, based on a single finite-length input/output sample trajectory. Specifically, we derive non-asymptotic upper bounds on these errors, providing a unifi…

On how walls shape dissipation intermittency
Peng-Yu Duan, Xi Chen, Katepalli R. Sreenivasan
https://arxiv.org/abs/2506.22917 https://

On how walls shape dissipation intermittency
Intermittency of energy dissipation has long been studied via high-order moments in homogeneous and isotropic turbulence, but not much where the boundary effects are explicitly included. Here, we derive two fundamental Reynolds number scaling expressions for dissipation moments in wall-bounded flows -- one in the outer region where the boundary effects are weak and the other close to the walls where those effects are strong -- and support these expressions by direct numerical simulations. Dissi…

Diffusion and heat dissipation in marginally stable linear time-delayed Langevin systems
Xin Wang
https://arxiv.org/abs/2506.23939 https://

Diffusion and heat dissipation in marginally stable linear time-delayed Langevin systems
We investigate the dynamics and heat dissipation in marginally stable linear time-delayed Langevin systems. We analytically characterize two distinct critical classes: (i) diffusive criticality, where the variance grows linearly with suppressed/enhanced diffusion due to time-delayed forces, and (ii) oscillatory criticality, exhibiting oscillations with diffusing amplitude. Crucially, we derive asymptotic heat dissipation rates, revealing fundamentally different thermodynamic signatures: a const…

$\sigma$-Maximal Ancestral Graphs
Binghua Yao, Joris M. Mooij
https://arxiv.org/abs/2507.00093 https://arxiv.org/pdf/2507.00093

$σ$-Maximal Ancestral Graphs
Maximal Ancestral Graphs (MAGs) provide an abstract representation of Directed Acyclic Graphs (DAGs) with latent (selection) variables. These graphical objects encode information about ancestral relations and d-separations of the DAGs they represent. This abstract representation has been used amongst others to prove the soundness and completeness of the FCI algorithm for causal discovery, and to derive a do-calculus for its output. One significant inherent limitation of MAGs is that they rule o…

Model-Based Diagnosis: Automating End-to-End Diagnosis of Network Failures
Changrong Wu, Yiyao Yu, Myungjin Lee, Jayanth Srinivasa, Ennan Zhai, George Varghese, Yuval Tamir
https://arxiv.org/abs/2506.23083

Model-Based Diagnosis: Automating End-to-End Diagnosis of Network Failures
Fast diagnosis and repair of enterprise network failures is critically important since disruptions cause major business impacts. Prior works focused on diagnosis primitives or procedures limited to a subset of the problem, such as only data plane or only control plane faults. This paper proposes a new paradigm, model-based network diagnosis, that provides a systematic way to derive automated procedures for identifying the root cause of network failures, based on reports of end-to-end user-level…

Testing the spin-bath view of self-attention: A Hamiltonian analysis of GPT-2 Transformer
Satadeep Bhattacharjee, Seung-Cheol Lee
https://arxiv.org/abs/2507.00683

Testing the spin-bath view of self-attention: A Hamiltonian analysis of GPT-2 Transformer
The recently proposed physics-based framework by Huo and Johnson~\cite{huo2024capturing} models the attention mechanism of Large Language Models (LLMs) as an interacting two-body spin system, offering a first-principles explanation for phenomena like repetition and bias. Building on this hypothesis, we extract the complete Query-Key weight matrices from a production-grade GPT-2 model and derive the corresponding effective Hamiltonian for every attention head. From these Hamiltonians we obtain a…

This https://arxiv.org/abs/2411.00290 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Bounds on Discrete Potentials of Spherical (k,k)-Designs
We derive universal lower and upper bounds for max-min and min-max problems (also known as polarization) for the potential of spherical $(k,k)$-designs and provide certain examples, including unit-norm tight frames, that attain these bounds. The universality is understood in the sense that the bounds hold for all spherical $(k,k)$-designs and for a large class of potential functions, and the bounds involve certain nodes and weights that are independent of the potential. When the potential funct…

Counting finite $O$-sequences of a given multiplicity
Francesca Cioffi, Margherita Guida
https://arxiv.org/abs/2507.23438 https://arxiv.org/pdf/2507.23438

Counting finite $O$-sequences of a given multiplicity
We study the number $O_d$ of finite $O$-sequences of a given multiplicity $d$, with particular attention to the computation of $O_d$. We show that the sequence $(O_d)_d$ is sub-Fibonacci, and that if the sequence $(O_d / O_{d-1})_d$ converges, its limit is bounded above by the golden ratio. This analysis also produces an elementary method for computing $O_d$. In addition, we derive an iterative formula for $O_d$ by exploiting a decomposition of lex-segment ideals introduced by S. Linusson in a …

Decoding Noise in Nanofluidic Systems: Adsorption versus Diffusion Signatures in Power Spectra
Anna Drummond Young, Alice L. Thorneywork, Sophie Marbach
https://arxiv.org/abs/2506.23867

Decoding Noise in Nanofluidic Systems: Adsorption versus Diffusion Signatures in Power Spectra
Adsorption processes play a fundamental role in molecular transport through nanofluidic systems, but their signatures in measured signals are often hard to distinguish from other processes like diffusion. In this paper, we derive an expression for the power spectral density (PSD) of particle number fluctuations in a channel, accounting for diffusion and adsorption/desorption to a wall. Our model, validated by Brownian dynamics simulations, is set in a minimal yet adaptable geometry, allowing us…

Deducing the Talbot Effect from Electrodynamics
Gabriel Ybarra Marcaida
https://arxiv.org/abs/2507.00820 https://arxiv.org/pdf/2507.0…

Deducing the Talbot Effect from Electrodynamics
We propose a model based on Maxwells equations to describe the Talbot effect. After solving the model analytically, we prove that its solution is equivalent to the one amply found in the literature in the asymptotic limit. By considering the paraxial limit, we showcase how the rational Talbot effect arises, and derive an ideal paraxial distribution that would give such effects. We give a proof of $L^2$ convergence to these ideal distributions for any such grating. The universal nature of the Ta…

Synergistic motifs in linear Gaussian systems
Enrico Caprioglio, Luc Berthouze
https://arxiv.org/abs/2505.24686 https://arxiv.org/pdf…

Synergistic motifs in linear Gaussian systems
Higher-order interdependencies are central features of complex systems, yet a mechanistic explanation for their emergence remains elusive. For linear Gaussian systems of arbitrary dimension, we derive an expression for synergy-dominance in terms of signed network motifs in the system's correlation matrix. We prove that antibalanced correlational structures ensure synergy-dominance and further show that antibalanced triads in the dyadic interaction matrix of Ornstein-Uhlenbeck processes are nece…

Information geometry of L\'evy processes and financial models
Jaehyung Choi
https://arxiv.org/abs/2507.23646 https://arxiv.org/pdf/2507.23646

Information geometry of Lévy processes and financial models
We explore the information geometry of Lévy processes. As a starting point, we derive the $α$-divergence between two Lévy processes. Subsequently, the Fisher information matrix and the $α$-connection associated with the geometry of Lévy processes are computed from the $α$-divergence. In addition, we discuss statistical applications of this information geometry. As illustrative examples, we investigate the differential-geometric structures of various Lévy processes relevant to financial m…

Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability
L. M. Lerman, R. Mazrooei-Sebdani, N. E. Kulagin
https://arxiv.org/abs/2505.23991

Double Hamiltonian Hopf Bifurcation: normalization and normal form non-integrability
The double Hamiltonian Hopf bifurcation is studied, i.e. a generic two-parametric unfolding of a smooth Hamiltonian system with four degrees of freedom which has at the critical value of parameters the equilibrium with two pairs of double non semi-simple pure imaginary eigenvalues $\pm iω_1,$ $\pm iω_2,$ $ω_1\ne ω_2$ under an assumption of absence of strong resonances between $ω_1,ω_2$. We derive the normal form of the unfolding, when the ratio $ω_1/ω_2$ is irrational and study the trun…

The regular representation of Neretin groups is factorial
Basile Morando
https://arxiv.org/abs/2506.24029 https://arxiv.org/pdf/2506.…

The regular representation of Neretin groups is factorial
We show that the left regular representation of Neretin groups is factorial, providing the first example of a non-discrete simple group with this property. This is based on a new criterion of factoriality for totally disconnected groups. For groups G satisfying the criterion, we determine the type of the factor L(G) and derive factoriality results for crossed products associated to G-actions on von Neumann algebras.

General diffusions on metric graphs as limits of time-space Markov Chains
Alexis Anagnostakis
https://arxiv.org/abs/2507.23724 https://arxiv.org/pdf/2507.2…

General diffusions on metric graphs as limits of time-space Markov Chains
We introduce the Space-Time Markov Chain Approximation (STMCA) for a general diffusion process on a finite metric graph $Γ$. The STMCA is a doubly asymmetric (in both time and space) random walk defined on a subdivisions of $Γ$, with transition probabilities and conditional transition times that match, in expectation, those of the target diffusion. We derive bounds on the $p$-Wasserstein distances between the diffusion and its STMCA in terms of a thinness quantifier of the subdivision. This b…

R3DM: Enabling Role Discovery and Diversity Through Dynamics Models in Multi-agent Reinforcement Learning
Harsh Goel, Mohammad Omama, Behdad Chalaki, Vaishnav Tadiparthi, Ehsan Moradi Pari, Sandeep Chinchali
https://arxiv.org/abs/2505.24265

R3DM: Enabling Role Discovery and Diversity Through Dynamics Models in Multi-agent Reinforcement Learning
Multi-agent reinforcement learning (MARL) has achieved significant progress in large-scale traffic control, autonomous vehicles, and robotics. Drawing inspiration from biological systems where roles naturally emerge to enable coordination, role-based MARL methods have been proposed to enhance cooperation learning for complex tasks. However, existing methods exclusively derive roles from an agent's past experience during training, neglecting their influence on its future trajectories. This paper…

Variational hydrodynamics of the classical Yukawa one-component plasma
Daniels Krimans, Hanno K\"ahlert
https://arxiv.org/abs/2506.23006 https://

Variational hydrodynamics of the classical Yukawa one-component plasma
We consider a recently developed variational approach to the hydrodynamics of strongly coupled plasmas [D. Krimans and S. Putterman, Phys. Fluids 36, 037131 (2024)] and extend it to the Yukawa one-component plasma. This approach generalizes the ordinary hydrodynamic equations to finite length scales by explicitly including terms that depend on the pair distribution function. After discussing the form of the Lagrangian, we derive equations of motion and explicit formulas for the momentum and ene…

An Application of Fractional Calculus to Column Theory
Jos\'e Villa-Morales, Manuel Ram\'irez-Aranda
https://arxiv.org/abs/2507.00021 https://

An Application of Fractional Calculus to Column Theory
In this article, we employ a fractional version of the radius of curvature in Euler's equation for column buckling, enabling us to derive a fractional differential equation in the Caputo sense. We solve this equation and demonstrate that for certain values of the fractional parameter, there exists a critical buckling force. Additionally, we provide a numerical scheme for accurately approximating this critical force.

Superconductivity induced by spin-orbit coupling in a two-valley ferromagnet
Zachary M Raines, Andrey V Chubukov
https://arxiv.org/abs/2507.00168 https://

Superconductivity induced by spin-orbit coupling in a two-valley ferromagnet
We analyze the origin of superconductivity in a ferromagnetically ordered state of multi-layer graphene systems placed in proximity to WSe$_2$. We model these materials by a two-valley system of interacting fermions with small pockets and Ising spin-orbit coupling. The model yields a canted ferromagnetic order, which gives rise to a half-metal. We obtain the magnon spectrum and derive two sets of magnon-mediated 4-fermion interactions: spin-flip interactions mediated by a single magnon and spin…

Certifying semi-device-independent security via wave-particle duality experiments
Chithra Raj, Tushita Prasad, Anubhav Chaturvedi, Lucas Pollyceno, Daniel Spegel-Lexne, Santiago G\'omez, Joakim Argillander, Alvaro Alarc\'on, Guilherme B. Xavier, Marcin Paw{\l}owski, Pedro R. Dieguez
https://arxiv.org/abs/2507.00679

Certifying semi-device-independent security via wave-particle duality experiments
Wave-particle duality is known to be equivalent to an entropic uncertainty relation based on the min- and max-entropies, which have a clear operational meaning in quantum cryptography. Here, we derive a connection between wave-particle relations and the semi-device-independent (SDI) security framework. In particular, we express an SDI witness entirely in terms of two complementary interferometric quantities: visibility and input distinguishability. Applying a symmetry condition to the interfero…

Pricing Fractal Derivatives under Sub-Mixed Fractional Brownian Motion with Jumps
Nader Karimi
https://arxiv.org/abs/2506.24111 https://arxiv.org/pdf/2506.…

A Practical and Secure Byzantine Robust Aggregator
De Zhang Lee, Aashish Kolluri, Prateek Saxena, Ee-Chien Chang
https://arxiv.org/abs/2506.23183 https://

A Practical and Secure Byzantine Robust Aggregator
In machine learning security, one is often faced with the problem of removing outliers from a given set of high-dimensional vectors when computing their average. For example, many variants of data poisoning attacks produce gradient vectors during training that are outliers in the distribution of clean gradients, which bias the computed average used to derive the ML model. Filtering them out before averaging serves as a generic defense strategy. Byzantine robust aggregation is an algorithmic pri…

The superspace coinvariant ring of type B
Sutanay Bhattacharya
https://arxiv.org/abs/2505.24122 https://arxiv.org/pdf/2505.24122

The superspace coinvariant ring of type B
Given the rank $n$ superspace $Ω_n$, the ring of polynomial-valued differential forms on $\mathbb C^n$, one can define an action of hyperoctahedral group $\mathfrak B_n$ on it. This leads to a superspace coinvariant ideal $SR_n^B$, defined as the quotient of $Ω_n$ by two-sided ideal generated by all $\mathfrak B_n$ invariants with vanishing constant terms. We derive the Hilbert series of $SR^B_n$ conjectured by Sagan and Swanson, and prove an operator theorem that yields a concrete descriptio…

Transverse diffeomorphism invariant spin-2 theories via gauge invariants
D. Dalmazi, Luiz G. M. Ramos
https://arxiv.org/abs/2506.24047 https://

Transverse diffeomorphism invariant spin-2 theories via gauge invariants
We analyze the particle spectrum of a second-order (in derivatives) theory based on a rank-2 tensor field with both symmetric and antisymmetric components. By demanding the existence of a propagating massless spin-2 particle and invariance under transverse diffeomorphisms, we derive a new class of stable models with two massless scalars and a single massless spin-2 particle. A natural nonlinear completion is proposed in terms of a dynamical metric field. The identification of the spectrum is ca…

Phylogenetic network models as graphical models
Seth Sullivant
https://arxiv.org/abs/2507.23056 https://arxiv.org/pdf/2507.23056

Phylogenetic network models as graphical models
The displayed tree phylogenetic network model is shown to sit as a natural submodel of the graphical model associated to a directed acyclic graph (DAG). This representation allows to derive a number of results about the displayed tree model. In particular, the concept of a local modification to a DAG model is developed and applied to the displayed tree model. As an application, some nonidentifiability issues related to the displayed tree models are highlighted as they relate to reticulation edg…

Pencils of projective hypersurfaces, Griffiths heights and geometric invariant theory. II Hypersurfaces with semihomogeneous singularities
Thomas Mordant
https://arxiv.org/abs/2506.22126

Pencils of projective hypersurfaces, Griffiths heights and geometric invariant theory. II Hypersurfaces with semihomogeneous singularities
This paper establishes the formula for the stable Griffiths height of the middle-dimensional cohomology of a pencil of projective hypersurfaces $H$, with semihomogeneous singularities, over some smooth projective curve $C$, that appears as Theorem 5.1 in the first part of this paper (arxiv:2506.15334). The proof of this formula relies on the strategy developed in my previous work (arxiv:2212.11019v3) to derive an expression for this Griffiths height when the only singularities of the fibers o…

An $N$-independent tensor decomposition for SU($N$)
Stefan Keppeler, Malin Sjodahl, Bernanda Telalovic
https://arxiv.org/abs/2507.22981 https://arxiv.org/p…

An $N$-independent tensor decomposition for SU($N$)
To facilitate a simultaneous treatment of an arbitrary number of colors in representation theory-based descriptions of QCD color structure, we derive an $N$-independent reduction of SU($N$) tensor products. To this end, we label each irreducible representation by a pair of Young diagrams, with parts acting on quarks and antiquarks. By combining this with a column-wise multiplication of Young diagrams, we generalize the Littlewood-Richardson rule for the product of two Young diagrams to the prod…

Approximating the quantum value of an LCS game is RE-hard
Aviv Taller, Thomas Vidick
https://arxiv.org/abs/2507.22444 https://arxiv.org/pdf/2507.22444

Approximating the quantum value of an LCS game is RE-hard
We generalize Håstad's long-code test for projection games and show that it remains complete and sound against entangled provers. Combined with a result of Dong et al. \cite{Dong25}, which establishes that $\MIP^*=\RE$ with constant-length answers, we derive that $\LIN^*_{1-ε,s}=\RE$, for some $1/2< s<1$ and for every sufficiently small $ε>0$, where LIN refers to linearity (over $\mathbb{F}_2$) of the verifier predicate. Achieving the same result with $ε=0$ would imply the existence of a …

Searching for quasinormal modes from Binary Black Hole mergers
A. Kr\'olak, O. Dorosh
https://arxiv.org/abs/2506.23595 https://ar…

Searching for quasinormal modes from Binary Black Hole mergers
We present a new method to search for gravitational waves from quasinormal modes in the ringdowns of the remnants of the mergers of the binary black hole systems. The method is based on maximum likelihood estimation. We derive a time-domain matched-filtering statistic that can be used to search for any number of modes in the data. The parameters of the modes can be estimated and the modes present in the data can be reconstructed. We perform Monte Carlo simulations of the method by injecting the…

\phi-Sectional curvature of statistical structures on almost contact metric manifolds
Abbas Heydari, Sadegh Mohammadi
https://arxiv.org/abs/2507.00811 http…

ϕ-Sectional curvature of statistical structures on almost contact metric manifolds
In this article, we study and analyze the ϕ-sectional curvature induced by a statistical structure on an almost contact metric manifold. We demonstrate that this sectional curvature is always non-positive. Additionally, we present equivalent statements regarding the vanishing of this type of sectional curvature. Furthermore, we derive a sufficient condition for an almost contact statistical manifold to be classified as a cosymplectic statistical manifold.

On exact regions between measures of concordance and Chatterjee's rank correlation for lower semilinear copulas
Sebastian Fuchs, Carsten Limbach, Fabian Sch\"urrer
https://arxiv.org/abs/2507.23316

On exact regions between measures of concordance and Chatterjee's rank correlation for lower semilinear copulas
We explore how the classical concordance measures - Kendall's $τ$, Spearman's rank correlation $ρ$, and Spearman's footrule $ϕ$ - relate to Chatterjee's rank correlation $ξ$ when restricted to lower semilinear copulas. First, we provide a complete characterization of the attainable $τ$-$ρ$ region for this class, thus resolving the conjecture in [18]. Building on this result, we then derive the exact $τ$-$ϕ$ and $ϕ$-$ρ$ regions, obtain a closed-form relationship between $ξ$ and $τ$, …

This https://arxiv.org/abs/2412.14844 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Astrometry-Only Detection of Microlensing Events with Gaia
Astrometric microlensing events occur when a massive object passes between a distant source and the observer, causing a shift of the light centroid. The precise astrometric measurements of the Gaia mission provide an unprecedented opportunity to detect and analyze these events, revealing properties of lensing objects such as their mass and distance. We develop and test the Gaia Astrometric Microlensing Events (GAME) Filter, a software tool to identify astrometric microlensing events and derive …

Hybrid Black Hole-Disk Driven Jets: Steady Axisymmetric Ideal MHD Modeling
Yu Song, Yehui Hou, Lei Huang, Bin Chen
https://arxiv.org/abs/2507.23281 https://

Hybrid Black Hole-Disk Driven Jets: Steady Axisymmetric Ideal MHD Modeling
Improved observational precision in relativistic jets has underscored the need for tractable theoretical models. In this study, we construct a semi-analytical hybrid jet model that incorporates both black hole-driven and disk-driven components within the framework of steady, axisymmetric, ideal MHD. We derive a condition that determines the launching sites of cold outflows, introducing a new constraint on the magnetic field configuration threading the accretion disk. Using the Bernoulli equatio…

A localized consensus-based sampling algorithm
Arne Bouillon, Alexander Bodard, Panagiotis Patrinos, Dirk Nuyens, Giovanni Samaey
https://arxiv.org/abs/2505.24861

A localized consensus-based sampling algorithm
We develop a novel interacting-particle method for sampling from non-Gaussian distributions. As a first step, we propose a new way to derive the consensus-based sampling (CBS) algorithm, starting from ensemble-preconditioned Langevin diffusions. We approximate the target potential by its Moreau envelope, such that the gradient in the Langevin equation can be replaced by a proximal operator. We then approximate the proximal operator by a weighted mean, and finally assume that the initial and tar…

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

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

Minimally dissipative multi-bit logical operations
J\'er\'emie Klinger, Grant M. Rotskoff
https://arxiv.org/abs/2506.24021 https://

Minimally dissipative multi-bit logical operations
Modern computing architectures are vastly more energy-dissipative than fundamental thermodynamic limits suggest, motivating the search for principled approaches to low-dissipation logical operations. We formulate multi-bit logical gates (bit erasure, NAND) as optimal transport problems, extending beyond classical one-dimensional bit erasure to scenarios where existing methods fail. Using entropically regularized unbalanced optimal transport, we derive tractable solutions and establish general e…

Linear Layouts of Graphs with Priority Queues
Emilio Di Giacomo, Walter Didimo, Henry F\"orster, Torsten Ueckerdt, Johannes Zink
https://arxiv.org/abs/2506.23943

Linear Layouts of Graphs with Priority Queues
A linear layout of a graph consists of a linear ordering of its vertices and a partition of its edges into pages such that the edges assigned to the same page obey some constraint. The two most prominent and widely studied types of linear layouts are stack and queue layouts, in which any two edges assigned to the same page are forbidden to cross and nest, respectively. The names of these two layouts derive from the fact that, when parsing the graph according to the linear vertex ordering, the e…

Unraveling Open Quantum Dynamics with Time-Dependent Variational Monte Carlo
Christian Apostoli, Jacopo D'Alberto, Marco G. Genoni, Gianluca Bertaina, Davide E. Galli
https://arxiv.org/abs/2506.23928

Unraveling Open Quantum Dynamics with Time-Dependent Variational Monte Carlo
We introduce a method to simulate open quantum many-body dynamics by combining time-dependent variational Monte Carlo (tVMC) with quantum trajectory techniques. Our approach unravels the Lindblad master equation into an ensemble of stochastic Schrödinger equations for a variational ansatz, avoiding the exponential cost of density matrix evolution. The method is compatible with generic ansatzë, including expressive neural-network wavefunctions. We derive the nonlinear stochastic equations of m…

Equilibrium distribution of the liquid phase in an unsaturated granular material
Lazar Loredana, Clavaud C\'ecile, Amon Axelle
https://arxiv.org/abs/2507.00751

Equilibrium distribution of the liquid phase in an unsaturated granular material
In an unsaturated granular material, the spatial distribution of the liquid phase results from the competition between gravity and capillary forces. We show that, in the funicular regime, it can be described by a Boltzmann law, with static disorder playing the role of thermal agitation. We propose an approach based on a Langevin equation to derive this distribution, and compare our predictions with conductivity measurements giving the local water content as a function of height in a wet granula…

On the rate of convergence for Landau type Schr\"odinger Operators
Yucheng Pan, Wenchang Sun
https://arxiv.org/abs/2505.24568 https://

On the rate of convergence for Landau type Schrödinger Operators
We study the pointwise convergence of Landau type Schrödinger operators within the fractional Sobolev space $W^{s,p}(\mathbb R)$. Our results extend those established by Bailey (Rev. Mat. Iberoam., 29 (2): 531-546, 2013) and Yuan, Zhao and Zheng (Nonlinear Anal., 208: Paper No. 112312, 28, 2021). Furthermore, we also analyze the convergence rate of Landau type Schrödinger operators along curves and derive a sharp result for the case of convergence along vertical lines.

Particle localization on helical nanoribbons: Quantum analog of the Coriolis effect
Radha Balakrishnan, Rossen Dandoloff, Victor Atanasov, Avadh Saxena
https://arxiv.org/abs/2507.23745

Particle localization on helical nanoribbons: Quantum analog of the Coriolis effect
We derive the Schrödinger equation for a particle confined to the surface of a normal and a binormal helical nanoribbon, obtain the quantum potentials induced by their respective curved surface geometries, and study the localized states of the particle for each ribbon. When the particle momentum satisfies a certain geometric condition, the particle localizes near the inner edge for a normal ribbon, and on the central helix for a binormal ribbon. This result suggests the presence of a pseudo-fo…

A Statistical Physics perspective on fairness in shared expenses: The bar bill analogy
Nuno Crokidakis, Lucas Sigaud
https://arxiv.org/abs/2507.23542 https://

A Statistical Physics perspective on fairness in shared expenses: The bar bill analogy
In social contexts where individuals consume varying amounts, such as shared meals or bar gatherings, splitting the total bill equally often yields surprisingly fair outcomes. In this work, we develop a statistical physics framework to explain this emergent fairness by modeling individual consumption as stochastic variables drawn from a realistic distribution, specifically the gamma distribution. Introducing a Boltzmann-like weighting factor, we derive exact analytical expressions for the parti…

Numerical computation of the Rosenblatt distribution and applications
Nikolai N. Leonenko, Andrey Pepelyshev
https://arxiv.org/abs/2506.23337 https://

Numerical computation of the Rosenblatt distribution and applications
The Rosenblatt distribution plays a key role in the limit theorems for non-linear functionals of stationary Gaussian processes with long-range dependence. We derive new expressions for the characteristic function of the Rosenblatt distribution. Also we present a novel accurate approximation of all eigenvalues of the Riesz integral operator associated with the correlation function of the Gaussian process and propose an efficient algorithm for computation of the density of the Rosenblatt distribu…

Vulnerability Measures and Zagreb Indices of Graphs
Sanju Vaidya, Cheng Chang
https://arxiv.org/abs/2505.24707 https://arxiv.org/pdf/…

Vulnerability Measures and Zagreb Indices of Graphs
This paper establishes sharp bounds for the vulnerability measures of closeness and generalized closeness in graphs and identifies graphs that attain these bounds. It further develops bounds incorporating Zagreb indices for triangle- and quadrangle-free graphs, yielding formulas for closeness and generalized closeness in such graphs with diameter at most 3. Moreover, using Zagreb indices, we derive bounds for trees and connected graphs with girth at least 7, which are attained by graphs with di…

Quantum Gravity Corrections to the Scalar Quasi-Normal Modes in Near-Extremal Reissener-Nordstr\"{o}m Black Holes
Zheng Jiang, Jun Nian, Caiying Shao, Yu Tian, Hongbao Zhang
https://arxiv.org/abs/2506.22945

Quantum Gravity Corrections to the Scalar Quasi-Normal Modes in Near-Extremal Reissener-Nordström Black Holes
We investigate quantum corrections to scalar quasi-normal modes (QNMs) in the near-extremal Reissner-Nordström black hole background with quantum correction in the near-horizon AdS$_2\times \mathrm{S}^2$ region. By performing a dimensional reduction, we obtain an effective Jackiw-Teitelboim (JT) gravity theory, whose quantum fluctuations are captured by the Schwarzian action. Using path integral techniques, we derive the quantum-corrected scalar field equation, which modifies the effective pot…

New Constraints on Neutrino-Dark Matter Interactions: A Comprehensive Analysis
P. S. Bhupal Dev, Doojin Kim, Deepak Sathyan, Kuver Sinha, Yongchao Zhang
https://arxiv.org/abs/2507.01000

New Constraints on Neutrino-Dark Matter Interactions: A Comprehensive Analysis
We present a comprehensive analysis of the interactions of neutrinos with the dark sector within the simplified model framework. We first derive the exact analytic formulas for the differential scattering cross sections of neutrinos with scalar, fermion, and vector dark matter (DM) for light dark sector models with mediators of different types. We then implement the full catalog of constraints on the parameter space of the neutrino-DM and neutrino-mediator couplings and masses, including cosmol…

This https://arxiv.org/abs/2501.08161 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Cosmological model with Gong-Zong Parametrization in $f(R,L_m)$ gravity
We present the cosmic expansion scenarios in the $f(R, L_m)$ gravity studied by using the dark energy equation of state (EoS) parameters. We proceed with the specific form of $f(R, L_m)$ gravity termed as $f(R, L_m)=\frac{R}{2}+L_{m}^α$. We derive the expansion rate in terms of the red-shift for two different forms of EoS parameter. In first model, EoS parameter varies inversely with the redshift and in second model, it involves the exponential form with the redshift. By using the Bayesian met…

This https://arxiv.org/abs/2212.11928 has been replaced.
link: https://scholar.google.com/scholar?q=a

The Gauss formulas for Laplacians on submanifolds
There are several types of Laplacians of a vector field on a Riemannian manifold. These include the Bochner and the Hodge Laplacian. The Gauss formula for the Levi-Civita connection relates the extrinsic connection to the intrinsic connection. We extend the Gauss formula for the connection to formulas for the different types of Laplacians of a vector field on a submanifold of any codimension $k\geq 1$. In the process, we derive a Gauss formula for the Ricci operator, formulas for the divergence…

How (Not) To Write a Software Engineering Abstract
Lutz Prechelt, Lloyd Montgomery, Julian Frattini, Franz Zieris
https://arxiv.org/abs/2506.21634 https://…

How (Not) To Write a Software Engineering Abstract
Background: Abstracts are a particularly valuable element in a software engineering research article. However, not all abstracts are as informative as they could be. Objective: Characterize the structure of abstracts in high-quality software engineering venues. Observe and quantify deficiencies. Suggest guidelines for writing informative abstracts. Methods: Use qualitative open coding to derive concepts that explain relevant properties of abstracts. Identify the archetypical structure of abstra…

Mass Determination of Supermassive Black Holes Governing Evolution of Radio Emitters
Kimitake Hayasaki, Ryo Yamazaki
https://arxiv.org/abs/2507.23161 https://

Mass Determination of Supermassive Black Holes Governing Evolution of Radio Emitters
Tidal disruption events (TDEs) involving supermassive black holes (SMBHs) often exhibit radio emission, yet its physical origin remains uncertain, especially in non-jetted cases. In this Letter, we formulate a general dynamical framework for a radio-emitting shell driven by disk winds and expanding through a power-law ambient medium under the influence of SMBH gravity. We derive and classify power-law-in-time solutions to the governing equations in the adiabatic regime. In particular, a univers…

New Agegraphic Dark Energy Driven Reconstruction of \boldmath{$f(Q)$} Gravity and its Cosmological Implications
Rajdeep Mazumdar, Kalyan Malakar, Mrinnoy M. Gohain, Kalyan Bhuyan
https://arxiv.org/abs/2507.00878

New Agegraphic Dark Energy Driven Reconstruction of \boldmath{$f(Q)$} Gravity and its Cosmological Implications
In this work, we perform reconstruction of \( f(Q) \) gravity inspired by the New Agegraphic Dark Energy (NADE) model, aiming to account for the Universe's late time acceleration without invoking a cosmological constant. Utilizing a power law scale factor \( a(t) = a_0 t^h \), we derive an analytic form for \( f(Q) \) based on a correspondence with NADE, where the conformal time serves as the infrared cutoff. The resulting model naturally recovers General Relativity in the limit and exhibits a …

Multicomponent Linear Transport in the Absence of Local Equilibrium
Yu-Jen Chiu, Eric M. Weiner, Ahmad K. Omar
https://arxiv.org/abs/2505.23906 https://

Multicomponent Linear Transport in the Absence of Local Equilibrium
The linear laws of transport phenomena are central in our description of irreversible processes in systems across the physical sciences. Linear irreversible thermodynamics allows for the identification of the underlying forces driving transport and the structure of the relevant transport coefficients for systems that are locally in equilibrium. Increasingly, linear relations are found to describe transport in systems in which a local equilibrium hypothesis is unlikely to hold. Here, we derive a…

Backpropagation in unstable diffusions
Angxiu Ni
https://arxiv.org/abs/2507.21497 https://arxiv.org/pdf/2507.21497

Backpropagation in unstable diffusions
We derive the adjoint path-kernel method for the parameter-gradient of SDEs, where the observable is averaged at a particular time or over the stationary measure. Its cost is almost independent of the number of parameters; it extends the conventional backpropagation method to cases with gradient explosion. It works for non-hyperbolic systems with multiplicative noise controlled by parameters. We derive a Monte-Carlo-type algorithm and demonstrate it on the 40-dimensional Lorenz 96 system.

Nonlinear Power Amplifier-Resilient Cell-Free Massive MIMO: A Joint Optimization Approach
Wei Jiang, Hans D. Schotten
https://arxiv.org/abs/2506.22094 http…

Nonlinear Power Amplifier-Resilient Cell-Free Massive MIMO: A Joint Optimization Approach
This letter analyzes the effects of power amplifiers (PAs) on the downlink of cell-free massive MIMO systems. We model signal transmission incorporating nonlinear PA distortion and derive a unified spectral efficiency (SE) expression applicable to arbitrary precoding schemes. To combat PA-induced performance degradation, a joint optimization approach for user association and max-min power control is proposed. Furthermore, a low-complexity alternative is developed to approximate the joint optimi…

Evolution models with time-dependent coefficients in friction and viscoelastic damping terms
Halit Sevki Aslan
https://arxiv.org/abs/2506.24058 https://

Evolution models with time-dependent coefficients in friction and viscoelastic damping terms
We study the following Cauchy problem for the linear wave equation with both time-dependent friction and time-dependent viscoelastic damping: \begin{equation} \label{EqAbstract}\tag{$\ast$} \begin{cases} u_{tt}- Δu + b(t)u_t - g(t)Δu_t=0, &(t,x) \in (0,\infty) \times \mathbb{R}^n, \\ u(0,x)= u_0(x),\quad u_t(0,x)= u_1(x), &x \in \mathbb{R}^n. \end{cases} \end{equation} Our goal is to derive decay estimates for higher order energy norms of solutions to this problem. We focus on the interplay b…

Classifying soft elastic lattices using higher-order homogenization
Basile Audoly, Claire Lestringant, Hussein Nassar
https://arxiv.org/abs/2507.00630 http…

Classifying soft elastic lattices using higher-order homogenization
We propose a methodology for the homogenization of periodic elastic lattices that covers the case of unstable lattices, having affine (macroscopic) or periodic (microscopic) mechanisms. The singular cell problems that are encountered when a periodic mechanism is present are naturally solved by treating the amplitude $θ(X)$ of the mechanism as an enrichment variable. We use asymptotic second-order homogenization to derive an effective energy capturing both the strain-gradient effect $\nabla \va…

Interrelation among Solvable Potentials and Extensions of SWKB Quantization Condition
Yuta Nasuda
https://arxiv.org/abs/2507.22381 https://arxiv.org/pdf/25…

Interrelation among Solvable Potentials and Extensions of SWKB Quantization Condition
The exactly solvable Schrödinger equations with the conventional shape-invariant potentials are known to be related with each other through point cannonical transformations. In this paper, we extend the idea to integral formulae called the SWKB integrals. By virtue of this, we derive extended forms of the SWKB quantization condition for certain classes of Natanzon potentials. We further demonstrate that the same idea can also be applied to obtain an exact quantization rule for a subclass of qu…

Regularized Extragradient Methods for Solving Equilibrium Problems on Hadamard Manifolds
Shikher Sharmaa, Pankaj Gautam, Simeon Reich
https://arxiv.org/abs/2506.22391

Regularized Extragradient Methods for Solving Equilibrium Problems on Hadamard Manifolds
Employing two distinct types of regularization terms, we propose two regularized extragradient methods for solving equilibrium problems on Hadamard manifolds. The sequences generated by these extragradient algorithms converge to a solution of the equilibrium problem without requiring the Lipschitz continuity of the bifunction or imposing additional conditions on the parameters. We establish convergence results for both algorithms and derive global error bounds along with $R$-linear convergence …

Some results about varextropy and weighted varextropy functions
Faranak Goodarzi
https://arxiv.org/abs/2506.22996 https://arxiv.org/p…

Some results about varextropy and weighted varextropy functions
In this paper, we investigate several properties of the weighted varextropy measure and obtain it for specific distribution functions, such as the equilibrium and weighted distributions. We also obtain bounds for the weighted varextropy, as well as for weighted residual varextropy and weighted past varextropy. Additionally, we derive an expression for the varextropy of the lifetime of coherent systems. A new stochastic ordering, referred to as weighted varextopy orderind, is introduced, and som…

This https://arxiv.org/abs/2505.16961 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Predicting the outcome of collisional neutrino flavor conversion
Collisional flavor instabilities, driven by differing neutrino and antineutrino reaction rates, are expected to occur in dense astrophysical environments like supernovae and neutron star mergers, but have yet to be incorporated in large-scale simulations. We derive, for the first time, analytical expressions for the asymptotic state resulting from a homogeneous and isotropic instability, and apply these predictions to two representative conditions from a neutron star merger simulation. We empha…

Exact treatment of rotation-induced modifications in two-dimensional quantum rings
Carlos Magno O. Pereira, Frankbelson dos S. Azevedo, Edilberto O. Silva
https://arxiv.org/abs/2506.23300

Exact treatment of rotation-induced modifications in two-dimensional quantum rings
We investigate the influence of rotation on the Fermi energy, magnetization, and persistent current in two-dimensional quantum rings. Using the Tan-Inkson confinement potential and incorporating rotational effects through a non-inertial coupling, we derive analytical expressions for the energy levels and examine the modifications induced by rotation. We then numerically explore how variations in angular velocity affect the Fermi energy, magnetization, and persistent current. Our results show th…

Black Holes as Non-Abelian Anyon Condensates: Nonthermal Spectrum and Implications for the Information Paradox
Sabin Roman
https://arxiv.org/abs/2507.23457 https://

Black Holes as Non-Abelian Anyon Condensates: Nonthermal Spectrum and Implications for the Information Paradox
We model black holes as condensates of non-Abelian anyons forming a topologically ordered shell at the horizon. Combined with area quantization, the constrained fusion Hilbert space yields a discrete entropy spectrum consistent with the Bekenstein-Hawking area law. Assuming a quantized mass spectrum with nonuniform gaps, we derive a nonthermal radiation profile with a corrected Hawking temperature and entropy, including logarithmic and inverse-area corrections. This framework localizes quantum …

On Existence and Uniqueness of the Solution of a Two-Surfaces Contact Problem Using a Fixed Point Approach
Abdelkrim Atailia, Frekh Taallah
https://arxiv.org/abs/2506.23763

On Existence and Uniqueness of the Solution of a Two-Surfaces Contact Problem Using a Fixed Point Approach
In this work, we give the proof of the existence and uniqueness of the solution to the weak form of a two-surfaces contact problem using fixed point approach. We begin by modeling the evolution of a two deformable surfaces contact problem with a general viscoplastic law, the contact is considered frictionless and governed by the Signorini-type condition with an initial gap. Then, we derive the variational formulation of the classical problem. Finally, we conclude our work by establishing an exi…

Burgers equation for the bulk viscous pressure of quark matter
Jos\'e Luis Hernandez, Cristina Manuel, Saga S\"appi, Laura Tolos
https://arxiv.org/abs/2507.00794

Burgers equation for the bulk viscous pressure of quark matter
The dissipative properties of relativistic strongly interacting nuclear matter significantly influence the damping of stellar oscillations and density fluctuations during compact star mergers. In this work, we derive the evolution equation for the bulk viscous pressure in unpaired quark matter under small deviations from equilibrium. Our analysis reveals that it behaves like a two-component Burgers fluid. We identify four key transport coefficients -- two relaxation times and two bulk viscosity…

Lower bounds for trace estimation via Block Krylov and other methods
Shi Jie Yu
https://arxiv.org/abs/2506.22701 https://arxiv.org/pd…

Lower bounds for trace estimation via Block Krylov and other methods
This paper studies theoretical lower bounds for estimating the trace of a matrix function, $\text{tr}(f(A))$, focusing on methods that use Hutchinson's method along with Block Krylov techniques. These methods work by approximating matrix-vector products like $f(A)V$ using a Block Krylov subspace. This is closely related to approximating functions with polynomials. We derive theoretical upper bounds on how many Krylov steps are needed for functions such as $A^{-1/2}$ and $A^{-1}$ by analyzing th…

Gravitational Wave Signatures of Periodic Motion near Higher-Derivative Einstein-\AE ther Black Holes
Sayantan Choudhury, Md Khalid Hossain, Gulnur Bauyrzhan, Koblandy Yerzhanov
https://arxiv.org/abs/2507.00904

Gravitational Wave Signatures of Periodic Motion near Higher-Derivative Einstein-Æther Black Holes
Higher-derivative modifications of general relativity are generically expected from effective field theory approaches to quantum gravity, and they arise naturally in Lorentz-violating theories such as Einstein-Ether gravity. In this work, we investigate black hole spacetimes within Einstein-Ether theory supplemented by quadratic curvature corrections, including terms proportional to $R^2$, $R_{μν} R^{μν}$, and $R_{μνλρ} R^{μνλρ}$. We derive the corrected static, spherically symmetri…

Bias in estimating Theil, Atkinson, and dispersion indices for gamma mixture populations
Jackson Assis, Roberto Vila, Helton Saulo
https://arxiv.org/abs/2506.22168

Bias in estimating Theil, Atkinson, and dispersion indices for gamma mixture populations
In this paper, we derive closed-form expressions for the bias of estimators of the Theil, Atkinson, and dispersion indices when the underlying population follows a finite mixture of gamma distributions. Our methodology builds on probabilistic techniques grounded in Mosimann's proportion-sum independence theorem and the gamma-Dirichlet connection, enabling analytical tractability in the presence of population heterogeneity. These results extend existing findings for single gamma models.

Spiral dislocation as a tunable geometric parameter for optical responses in quantum rings
Hassan Hassanabadi, Kangxian Guo, Liangliang Lu, Edilberto O. Silva
https://arxiv.org/abs/2506.23307

Spiral dislocation as a tunable geometric parameter for optical responses in quantum rings
We investigate the optical and quantum mechanical properties of a charged spinless particle confined in a two-dimensional quantum ring under the simultaneous influence of a spiral dislocation and an external magnetic field. The dislocation is modeled by a torsion-induced metric that alters the spatial geometry without introducing curvature. Using the minimal coupling procedure in curved space, we derive a modified Schrödinger equation incorporating both topological and electromagnetic effects.…

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

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

This https://arxiv.org/abs/2502.20923 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Spinning boson stars in nonlinear sigma models and Universal Relations
Boson stars are hypothetical compact objects derived from solutions of a self-gravitating complex scalar field. In this study, we extend the traditional models by generalizing the kinetic term of the scalar field to that of a nonlinear sigma model. Concretely, we obtain spinning boson star solutions for a family of models parametrized by the curvature of their two-dimensional target manifold, as well as for various self-interaction potentials. We derive the global properties and multipolar stru…

Learning Smooth Populations of Parameters with Trial Heterogeneity
JungHo Lee, Valerio Ba\'cak, Edward H. Kennedy
https://arxiv.org/abs/2507.23140 https://

Learning Smooth Populations of Parameters with Trial Heterogeneity
We consider the classical problem of estimating the mixing distribution of binomial mixtures, but under trial heterogeneity and smoothness. This problem has been studied extensively when the trial parameter is homogeneous, but not under the more general scenario of heterogeneous trials, and only within a low smoothness regime, where the resulting rates are slow. Under the assumption that the density is s-smooth, we derive fast error rates for the kernel density estimator under trial heterogenei…

On Weary Drivers, Records of Trees, and Parking Functions
Adri\'an Lillo, Mercedes Rosas, Stefan Trandafir
https://arxiv.org/abs/2506.22145 https://

On Weary Drivers, Records of Trees, and Parking Functions
This work builds on a decomposition of a Cayley tree using the notion of a record, a concept closely related to the blob encoding of a tree introduced by Kreweras and Moszkowski, and Picciotto, that we explore and extend. We provide an alternative definition of parking functions and derive from it a record-preserving bijection between Cayley trees and parking functions. Finally, we use this bijection to establish an equidistribution between a sextuple of statistics on Cayley trees and a corresp…

Strain-induced manipulation of non-collinear antiferromagnets
Mithuss Tharmalingam, Feodor Svetlanov Konomaev, Kjetil M. D. Hals
https://arxiv.org/abs/2505.24520

Strain-induced manipulation of non-collinear antiferromagnets
In recent years, there has been growing interest in harnessing non-collinear antiferromagnets (NCAFMs) for applications in antiferromagnetic spintronics. A key requirement for their practical use is the ability to control the spin order in a reliable and tunable manner. In this work, we investigate how the spin order in kagome antiferromagnets -- an important class of NCAFMs -- can be manipulated via strain. Starting from a microscopic spin Hamiltonian, we derive an effective action for the kag…

Two-photon emission from uniform acceleration: Unruh excitation, radiative decay, and field entanglement
Arash Azizi
https://arxiv.org/abs/2507.22164 https://

Two-photon emission from uniform acceleration: Unruh excitation, radiative decay, and field entanglement
We analyze the two-photon emission process of a uniformly accelerated Unruh-DeWitt detector interacting with a massless scalar field in Minkowski spacetime. Using second-order perturbation theory, we derive the exact final quantum state of the field and classify the emitted photon pairs according to their directional decomposition into Unruh modes: right-right (RR), left-left (LL), and mixed (RL/LR) channels. The RR and LL contributions produce photon pairs within a single Rindler wedge, while …

Is this the fall of the $\Lambda$CDM throne? Evidence for dynamical dark energy rising from combinations of different types of datasets
Mustapha Ishak, Leonel Medina-Varela
https://arxiv.org/abs/2507.22856

Is this the fall of the $Λ$CDM throne? Evidence for dynamical dark energy rising from combinations of different types of datasets
We derive multiple constraints on dark energy and compare dynamical dark energy models with a time-varying equation of state ($w_0 w_a$CDM) versus a cosmological constant model ($Λ$CDM). We use Baryon Acoustic Oscillation (BAO) from DESI and DES, Cosmic Microwave Background (Planck) with and without lensing from Planck and ACT (noted CMB and CMBL, respectively), supernova (SN), and cross-correlations between galaxy positions and galaxy lensing from DES. First, we use pairs or trios of datasets…

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone
Francisco J. Palomo, Alfonso Romero
https://arxiv.org/abs/2507.22566

Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone
A general integral inequality is established for compact spacelike submanifolds of codimension two in the Lorentz-Minkowski spacetime under the assumption that the mean curvature vector field is parallel. This inequality is then used to derive a rigidity result. Specifically, we obtain a complete characterization of all compact spacelike submanifolds with parallel mean curvature vector field that lie in the light cone of the Lorentz-Minkowski spacetime: they must be totally umbilical spheres co…

An Explicit Formula for Vertex Enumeration in the CUT(n) Polytope via Probabilistic Methods
Nevena Mari\'c
https://arxiv.org/abs/2506.21787 https://

An Explicit Formula for Vertex Enumeration in the CUT(n) Polytope via Probabilistic Methods
The cut polytope $\operatorname{CUT}(n)$, defined as the convex hull of cut vectors in the complete graph $K_n$, is a central object in combinatorial optimization, with applications ranging from max-cut problems to correlation analysis. Building on a probabilistic interpretation via agreement probabilities among symmetric Bernoulli random variables, we derive an explicit closed-form formula for enumerating the vertices of the related polytope $1$-$\operatorname{CUT}(n)$. Our approach is based o…