Tootfinder

Stability Analysis of Cosmological Perturbations in Bumblebee Model: Parameter Constraints and Gravitational Waves
Xiao-Bin Lai, Yu-Qi Dong, Yu-Zhi Fan, Yu-Xiao Liu
https://arxiv.org/abs/2509.13958

Stability Analysis of Cosmological Perturbations in Bumblebee Model: Parameter Constraints and Gravitational Waves
We constrain the parameter space of Bumblebee model within a cosmological background and investigate the properties of gravitational waves under the constrained parameter set. Specifically, we derive the conditions for the absence of ghost, Laplacian, and Tachyon instabilities for perturbations in a cosmological background. By incorporating the observed accelerated expansion of the universe and the observational constraints on tensor gravitational waves, we derive bounds on the parameter space …

Online Bayesian Risk-Averse Reinforcement Learning
Yuhao Wang, Enlu Zhou
https://arxiv.org/abs/2509.14077 https://arxiv.org/pdf/2509.14077

Online Bayesian Risk-Averse Reinforcement Learning
In this paper, we study the Bayesian risk-averse formulation in reinforcement learning (RL). To address the epistemic uncertainty due to a lack of data, we adopt the Bayesian Risk Markov Decision Process (BRMDP) to account for the parameter uncertainty of the unknown underlying model. We derive the asymptotic normality that characterizes the difference between the Bayesian risk value function and the original value function under the true unknown distribution. The results indicate that the Baye…

Cross-Granularity Hypergraph Retrieval-Augmented Generation for Multi-hop Question Answering
Changjian Wang, Weihong Deng, Weili Guan, Quan Lu, Ning Jiang
https://arxiv.org/abs/2508.11247

Cross-Granularity Hypergraph Retrieval-Augmented Generation for Multi-hop Question Answering
Multi-hop question answering (MHQA) requires integrating knowledge scattered across multiple passages to derive the correct answer. Traditional retrieval-augmented generation (RAG) methods primarily focus on coarse-grained textual semantic similarity and ignore structural associations among dispersed knowledge, which limits their effectiveness in MHQA tasks. GraphRAG methods address this by leveraging knowledge graphs (KGs) to capture structural associations, but they tend to overly rely on str…

Reliability, Embeddedness, and Agency: A Utility-Driven Mathematical Framework for Agent-Centric AI Adoption
Faruk Alpay, Taylan Alpay
https://arxiv.org/abs/2508.12896 https://

Reliability, Embeddedness, and Agency: A Utility-Driven Mathematical Framework for Agent-Centric AI Adoption
We formalize three design axioms for sustained adoption of agent-centric AI systems executing multi-step tasks: (A1) Reliability > Novelty; (A2) Embed > Destination; (A3) Agency > Chat. We model adoption as a sum of a decaying novelty term and a growing utility term and derive the phase conditions for troughs/overshoots with full proofs. We introduce: (i) an identifiability/confounding analysis for $(α,β,N_0,U_{\max})$ with delta-method gradients; (ii) a non-monotone comparator (logistic-with…

from my link log —
A more perfect #[derive] for Rust.
https://esoterra.dev/blog/a-more-perfect-derive/
saved 2025-07-08 https:/…

A More Perfect Derive
A refresher on derive & perfect derive with some design options enumerated

On the Rate of Gaussian Approximation for Linear Regression Problems
Marat Khusainov, Marina Sheshukova, Alain Durmus, Sergey Samsonov
https://arxiv.org/abs/2509.14039 https://

On the Rate of Gaussian Approximation for Linear Regression Problems
In this paper, we consider the problem of Gaussian approximation for the online linear regression task. We derive the corresponding rates for the setting of a constant learning rate and study the explicit dependence of the convergence rate upon the problem dimension $d$ and quantities related to the design matrix. When the number of iterations $n$ is known in advance, our results yield the rate of normal approximation of order $\sqrt{\log{n}/n}$, provided that the sample size $n$ is large enoug…

Quantum speed limit for the OTOC from an open systems perspective
Devjyoti Tripathy, Juzar Thingna, Sebastian Deffner
https://arxiv.org/abs/2509.13519 https://

Quantum speed limit for the OTOC from an open systems perspective
Scrambling, the delocalization of initially localized quantum information, is commonly characterized by the out-of-time ordered correlator (OTOC). Employing the OTOC-Renyi-2 entropy theorem we derive a quantum speed limit for the OTOC, which sets an lower bound for the rate with which information can be scrambled. This bound becomes particularly tractable by describing the scrambling of information in a closed quantum system as an effective decoherence process of an open system interacting with…

MultiPark: Multimodal Parking Transformer with Next-Segment Prediction
Han Zheng, Zikang Zhou, Guli Zhang, Zhepei Wang, Kaixuan Wang, Peiliang Li, Shaojie Shen, Ming Yang, Tong Qin
https://arxiv.org/abs/2508.11537

MultiPark: Multimodal Parking Transformer with Next-Segment Prediction
Parking accurately and safely in highly constrained spaces remains a critical challenge. Unlike structured driving environments, parking requires executing complex maneuvers such as frequent gear shifts and steering saturation. Recent attempts to employ imitation learning (IL) for parking have achieved promising results. However, existing works ignore the multimodal nature of parking behavior in lane-free open space, failing to derive multiple plausible solutions under the same situation. Notab…

Supergravity from the Bottom Up
Tony Gherghetta, Wenqi Ke
https://arxiv.org/abs/2507.12538 https://arxiv.org/pdf/2507.12538

Supergravity from the Bottom Up
We employ on-shell methods to construct scattering amplitudes and derive effective theories involving massive spin-3/2 fermions interacting with spin 0, 1 and 2 bosons. The four-point massive amplitudes are constructed using an all-line-transverse momentum shift, assuming that in the massless limit, three-point interactions are smooth and the Ward identity is satisfied. For a Majorana spin-3/2 fermion with mass $m_{3/2}$, we show that interactions with only spin 0 and massive spin-1 bosons do n…

A Multi-Body Dobrushin-Sokal Criterion -- Part I
Jan Philipp Neumann
https://arxiv.org/abs/2508.12078 https://arxiv.org/pdf/2508.12078

A Multi-Body Dobrushin-Sokal Criterion -- Part I
We derive a sufficient condition for zero-freeness of partition functions applicable to lattice gases with possibly complex-valued multi-body interactions. This includes the case of hard-core interactions and, in particular, generalises recent results by Galvin et al.\ (2024) and Bencs-Buys (2025) on zero-free polydiscs of hypergraph independence polynomials. We provide two proofs: the first generalises the inductive approach of Bencs and Buys; the second employs the Kirkwood-Salsburg hierarchy…

Counting polynomials with positive roots
Pavlo Yatsyna, B{\l}a\.zej \.Zmija
https://arxiv.org/abs/2509.14501 https://arxiv.org/pdf/2509.14501

Counting polynomials with positive roots
This paper investigates the number of monic integer polynomials of degree $n$ whose roots are all real and positive. We establish an asymptotic formula for the case of fixed trace by estimating the number of integer sequences satisfying Maclaurin's inequalities. For cubic polynomials, we derive a much more precise asymptotic result. Furthermore, we analyse the arithmetic properties of the discriminants of these polynomials, showing that a positive proportion of cubics have square-free discrimin…

Coulomb branch localization, quasimaps, and surface counting in Calabi--Yau fourfolds
Duiliu-Emanuel Diaconescu, Nicolo Piazzalunga
https://arxiv.org/abs/2508.11512 https://

Coulomb branch localization, quasimaps, and surface counting in Calabi--Yau fourfolds
We present a string theoretic approach to surface counting in local Calabi--Yau fourfolds via supersymmetric localization in topologically twisted four-dimensional gauge theories. This approach is based on a spectral correspondence between PT1-stable pairs on local fourfolds and twisted quasimaps with fixed two-dimensional domain associated to the ADHM quiver, or, equivalently, ADHM sheaves. For local toric fourfolds, we derive a conjectural residue formula for the K-theoretic quasimap partitio…

Graph-Aware Learning Rates for Decentralized Optimization
Aaron Fainman, Stefan Vlaski
https://arxiv.org/abs/2509.14854 https://arxiv.org/pdf/2509.14854

Graph-Aware Learning Rates for Decentralized Optimization
We propose an adaptive step-size rule for decentralized optimization. Choosing a step-size that balances convergence and stability is challenging. This is amplified in the decentralized setting as agents observe only local (possibly stochastic) gradients and global information (like smoothness) is unavailable. We derive a step-size rule from first principles. The resulting formulation reduces to the well-known Polyak's rule in the single-agent setting, and is suitable for use with stochastic gr…

Stochasticity in Stellar Yields Reflected in Theoretical Dust Masses Estimates Across all Type II Supernova Progenitors
Archana Purushothaman, Arkaprabha Sarangi, S. K. Jeena
https://arxiv.org/abs/2508.12933

Stochasticity in Stellar Yields Reflected in Theoretical Dust Masses Estimates Across all Type II Supernova Progenitors
Core-collapse supernovae (CCSNe) are among the primary sources of dust in galaxies. In this study, we derive theoretical upper limits on dust masses as a function of supernova (SN) progenitors with initial masses between 9 and 120 Msun, based on previously established models of dust formation chemistry in CCSNe. We find that O-rich dust, particularly silicates, dominates the dust budget, with masses ranging from 0.02 to 0.9 Msun, and that the total mass of O-rich dust increases with progenitor …

Movable-Antenna Trajectory Optimization for Wireless Sensing: CRB Scaling Laws over Time and Space
Wenyan Ma, Lipeng Zhu, Rui Zhang
https://arxiv.org/abs/2509.14905 https://

Movable-Antenna Trajectory Optimization for Wireless Sensing: CRB Scaling Laws over Time and Space
In this paper, we present a new wireless sensing system utilizing a movable antenna (MA) that continuously moves and receives sensing signals to enhance sensing performance over the conventional fixed-position antenna (FPA) sensing. We show that the angle estimation performance is fundamentally determined by the MA trajectory, and derive the Cramer-Rao bound (CRB) of the mean square error (MSE) for angle-of-arrival (AoA) estimation as a function of the trajectory for both one-dimensional (1D) a…

On the homology description of equivalent unoriented bordism groups
Bo Chen, Zhi L\"u
https://arxiv.org/abs/2508.11841 https://arxiv.org/pdf/2508.1184…

On the homology description of equivalent unoriented bordism groups
We construct a chain complex $\mathfrak{B}$ based on a double complex derived from the universal complex $X(\mathbb{Z}_2^n)$. It is shown that $\mathfrak{B}$ has a nontrivial homology only in degree $n-2$, which is isomorphic to the equivariant unoriented bordism group $\mathcal{Z}_{n+1}(\mathbb{Z}_2^n)$ of all $(n+1)$-dimensional smooth closed $\mathbb{Z}_2^n$-manifolds with isolated fixed points. By analyzing the spectral sequence of $\mathfrak{B}$, we derive a dimension formula for $\mathcal…

Poincar\'{e} Polynomials and Curvature Operators of Symmetric Spaces
Peter Petersen, James Stanfield
https://arxiv.org/abs/2508.11236 https://arxiv.org…

Poincaré Polynomials and Curvature Operators of Symmetric Spaces
We compute explicit formulas for the curvature operators and Poincaré polynomials of all compact irreducible symmetric spaces. We can easily derive the Poincaré polynomials using quantum numbers, giving a formula that mirrors the known formula for the Euler characteristic. For the curvature operators, we show that their maximum eigenvalue is always bounded above by the Einstein constant, with equality attained precisely by the Hermitian symmetric spaces.

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

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

Thermodynamically Consistent Coarse-graining: from Interacting Particles to Fields via Second Quantization
Atul Tanaji Mohite, Heiko Rieger
https://arxiv.org/abs/2508.11430 http…

Thermodynamically Consistent Coarse-graining: from Interacting Particles to Fields via Second Quantization
We systematically derive an exact coarse-grained description for interacting particles with thermodynamically consistent stochastic dynamics, applicable across different observation scales, the mesoscopic and the macroscopic. We implement the coarse-graining procedure using the Doi-Peliti field theory, which preserves microscopic noise effects on the meso/macro scale. The exact mapping reveals the key role played by Poissonian particle occupancy statistics. We show the implications of the exact…

Important Bit Prefix M-ary Quadrature Amplitude Modulation for Semantic Communications
Haonan Lu, Rui Meng, Xiaodong Xu, Yiming Liu, Ping Zhang, Dusit Niyato
https://arxiv.org/abs/2508.11351

Important Bit Prefix M-ary Quadrature Amplitude Modulation for Semantic Communications
M-ary Quadrature Amplitude Modulation (MQAM) is a commonly used channel modulation technology in wireless communication systems. To achieve dedicated channel modulation for semantic communication (SemCom), we propose an Important-Bit-Prefixed MQAM (IBP-MQAM) scheme and derive its approximate expression of important symbol error rate (ISER) and unimportant symbol error rate (USER). By extracting and quantifying text semantics using Latent Dirichlet Allocation (LDA), we verify that IBP-MQAM achie…

MeanFlowSE: one-step generative speech enhancement via conditional mean flow
Duojia Li, Shenghui Lu, Hongchen Pan, Zongyi Zhan, Qingyang Hong, Lin Li
https://arxiv.org/abs/2509.14858

MeanFlowSE: one-step generative speech enhancement via conditional mean flow
Multistep inference is a bottleneck for real-time generative speech enhancement because flow- and diffusion-based systems learn an instantaneous velocity field and therefore rely on iterative ordinary differential equation (ODE) solvers. We introduce MeanFlowSE, a conditional generative model that learns the average velocity over finite intervals along a trajectory. Using a Jacobian-vector product (JVP) to instantiate the MeanFlow identity, we derive a local training objective that directly sup…

Stringy Constraints on Modular Flavor Models
Keiya Ishiguro, Takafumi Kai, Tatsuo Kobayashi, Hajime Otsuka
https://arxiv.org/abs/2508.12392 https://arxiv.o…

Stringy Constraints on Modular Flavor Models
We investigate stringy constraints on moduli spaces in modular flavor models by analyzing moduli-dependent threshold corrections in heterotic string vacua. While moduli play a crucial role in determining the flavor structure of fermions predicted by modular flavor models, the parameter space in which their vacuum expectation values are allowed has not been fully explored. In this work, within the framework of perturbative heterotic string theory on toroidal orbifolds, we derive constraints on t…

A unified method for generating closed-form point estimators for exponential families: An example with the beta distribution applied to proportions of land used for farming
Roberto Vila, Helton Saulo
https://arxiv.org/abs/2508.12169

A unified method for generating closed-form point estimators for exponential families: An example with the beta distribution applied to proportions of land used for farming
We show that, after a simple power-transform reparameterization of the (vector) exponential family, the solutions to the likelihood equations coincide with moment-type estimating equations. This equivalence enables a unified route to closed-form point estimators for multi-parameter models that typically lack explicit maximum likelihood (ML) solutions. Within this framework we (i) recover, as special cases, several recent closed-form estimators from the literature; (ii) derive new families of es…

Disconnection probability of Brownian motion on an annulus
Gefei Cai, Xuesong Fu, Xin Sun, Zhuoyan Xie
https://arxiv.org/abs/2509.14073 https://arxiv.org/p…

Disconnection probability of Brownian motion on an annulus
We derive an exact formula for the probability that a Brownian path on an annulus does not disconnect the two boundary components of the annulus. The leading asymptotic behavior of this probability is governed by the disconnection exponent obtained by Lawler-Schramm-Werner (2001) using the connection to Schramm-Loewner evolution (SLE). The derivation of our formula is based on this connection and the coupling with Liouville quantum gravity (LQG). As byproducts of our proof, we obtain a precise …

Optimal Hamilton-type gradient estimates for the heat equation on noncompact manifolds
Loth Damagui Chabi, Philippe Souplet
https://arxiv.org/abs/2507.12190

Optimal Hamilton-type gradient estimates for the heat equation on noncompact manifolds
We derive localized and global noncompact versions of Hamilton's gradient estimate for positive solutions to the heat equation on Riemannian manifolds with Ricci curvature bounded below. Our estimates are essentially optimal and significantly improve on all previous estimates of this type. As applications, we derive a new and sharp, space only, local pseudo-Harnack inequality, as well as estimates of the spatial modulus of continuity of solutions.

New Orbital Constraints for YSES 1 b and HR 2562 B from High-Precision Astrometry and Planetary Radial Velocities
Jonathan Roberts (Center for Interdisciplinary Exploration and Research in Astrophysics, Department of Physics and Astronomy, Northwestern University, Evanston, USA), William Thompson (NRC Herzberg Astronomy and Astrophysics, Victoria, Canada), Jason J. Wang (Center for Interdisciplinary Exploration and Research in Astrophysics, Department of Physics and Astronomy, Northwes…

New Orbital Constraints for YSES 1 b and HR 2562 B from High-Precision Astrometry and Planetary Radial Velocities
We present new VLTI/GRAVITY astrometry and updated orbit fits for the directly imaged companions YSES 1 b and HR 2562 B, substellar objects straddling the planet-brown dwarf boundary. Using high-precision astrometry, radial velocity (RV) data, and proper motions, we derive revised orbital parameters with orbitize! arXiv:1910.01756. For YSES 1 b, the inclusion of GRAVITY astrometry and a relative radial velocity measurement from arXiv:2409.16660 overcomes the traditional challenge of constrainin…

Decay of Chebyshev coefficients and error estimates of associated quadrature on shrinking intervals
Krishna Yamanappa Poojara, Sabhrant Sachan, Ambuj Pandey
https://arxiv.org/abs/2509.14602

Decay of Chebyshev coefficients and error estimates of associated quadrature on shrinking intervals
We analyze decay of Chebyshev coefficients and local Chebyshev approximations for functions of finite regularity on finite intervals, focusing on the framework where the interval length tends to zero while the number of approximation nodes remains fixed. For all four families of Chebyshev polynomials, we derive error estimates that quantify the dependence on the interval length for (i) the decay of Chebyshev coefficients, (ii) the approximation error between continuous and discrete Chebyshev co…

Inertia perturbation theory for the inertial Kuramoto model
Hangjun Cho, Jiu-Gang Dong, Seung-Yeal Ha, Seung-Yeon Ryoo
https://arxiv.org/abs/2508.11241 https://

Inertia perturbation theory for the inertial Kuramoto model
In this work, we study the inertial Kuramoto model, which is a second-order extension of the classical first-order Kuramoto model, as an inertial perturbation of the first-order Kuramoto model. We develop a quantitative Tikhonov theorem, from which we derive a new synchronization statement in the small inertia regime, with strong bounds on the limiting order parameter. We also explore the determinability of phase velocities from phase positions, which shows that the perturbation viewpoint must …

The halo magnetic field of a spiral galaxy at z=0.414
Timea Orsolya Kovacs, Sui Ann Mao, Aritra Basu, Yik Ki Ma, B. M. Gaensler
https://arxiv.org/abs/2507.12542

The halo magnetic field of a spiral galaxy at z=0.414
Even though magnetic fields play an important role in galaxy evolution, the redshift evolution of galactic-scale magnetic fields is not well constrained observationally. In this paper we aim to provide an observational constraint on the time-scale of the mean-field dynamo, and derive the magnetic field in a distant galaxy at $z=0.414$. We obtained broadband spectro-polarimetric $1-8$ GHz Very Large Array observation of the lensing system B1600+434, which is a background quasar gravitationally l…

Defect Interactions Through Periodic Boundaries in Two-Dimensional $p$-atics
Cody D. Schimming
https://arxiv.org/abs/2507.12597 https://

Defect Interactions Through Periodic Boundaries in Two-Dimensional $p$-atics
Periodic boundary conditions are a common tool used to emulate effectively infinite domains. However, two-dimensional periodic domains are topologically distinct from the infinite plane, eliciting the question: How do periodic boundaries affect systems with topological properties themselves? In this work, I derive an analytical expression for the orientation fields of two-dimensional $p$-atic liquid crystals, systems with $p$-fold rotational symmetry, with topological defects in a flat domain s…

Modelling the spillover from online engagement to offline protest: stochastic dynamics and mean-field approximations on networks
Moyi Tian, P. Jeffrey Brantingham, Nancy Rodr\'iguez
https://arxiv.org/abs/2507.13310

Modelling the spillover from online engagement to offline protest: stochastic dynamics and mean-field approximations on networks
Social media is transforming various aspects of offline life, from everyday decisions such as dining choices to the progression of conflicts. In this study, we propose a coupled modelling framework with an online social network layer to analyse how engagement on a specific topic spills over into offline protest activities. We develop a stochastic model and derive several mean-field models of varying complexity. These models allow us to estimate the reproductive number and anticipate when surges…

Estimation in linear models with clustered data
Anna Mikusheva, Mikkel S{\o}lvsten, Baiyun Jing
https://arxiv.org/abs/2508.12860 https://arxiv.org/pdf/2508…

Estimation in linear models with clustered data
We study linear regression models with clustered data, high-dimensional controls, and a complicated structure of exclusion restrictions. We propose a correctly centered internal IV estimator that accommodates a variety of exclusion restrictions and permits within-cluster dependence. The estimator has a simple leave-out interpretation and remains computationally tractable. We derive a central limit theorem for its quadratic form and propose a robust variance estimator. We also develop inference …

Holdout cross-validation for large non-Gaussian covariance matrix estimation using Weingarten calculus
Lamia Lamrani, Beno\^it Collins, Jean-Philippe Bouchaud
https://arxiv.org/abs/2509.13923

Holdout cross-validation for large non-Gaussian covariance matrix estimation using Weingarten calculus
Cross-validation is one of the most widely used methods for model selection and evaluation; its efficiency for large covariance matrix estimation appears robust in practice, but little is known about the theoretical behavior of its error. In this paper, we derive the expected Frobenius error of the holdout method, a particular cross-validation procedure that involves a single train and test split, for a generic rotationally invariant multiplicative noise model, therefore extending previous resu…

Spacing Test for Fused Lasso
Rieko Tasaka, Tatsuya Kimura, Joe Suzuki
https://arxiv.org/abs/2509.14229 https://arxiv.org/pdf/2509.14229

Spacing Test for Fused Lasso
This study addresses the unresolved problem of selecting the regularization parameter in the fused lasso. In particular, we extend the framework of the Spacing Test proposed by Tibshirani et al. to the fused lasso, providing a theoretical foundation for post-selection inference by characterizing the selection event as a polyhedral constraint. Based on the analysis of the solution path of the fused lasso using a LARS-type algorithm, we derive exact conditional $p$-values for the selected change-…

Harmonic generation of graphene quantum dots in Hartree-Fock approximation
Kainan Chang, Ying Song, Yuwei Shan, Jin Luo Cheng
https://arxiv.org/abs/2507.12982

Harmonic generation of graphene quantum dots in Hartree-Fock approximation
We theoretically investigate harmonic generation in graphene quantum dots under linearly polarized optical pulses, focusing on excitonic effects. Combining the tight-binding model and the single-particle density matrix approach, we derive a semiconductor Bloch equation under a static-screened Hartree-Fock approximation. This framework characterizes the electron-electron interaction through local Hartree potentials for direct Coulomb interaction and nonlocal Fock potentials for exchange interact…

Banking 2.0: The Stablecoin Banking Revolution -- How Digital Assets Are Reshaping Global Finance
Kevin McNamara, Rhea Pritham Marpu
https://arxiv.org/abs/2508.11395 https://

Banking 2.0: The Stablecoin Banking Revolution -- How Digital Assets Are Reshaping Global Finance
The global financial system stands at an inflection point. Stablecoins represent the most significant evolution in banking since the abandonment of the gold standard, positioned to enable "Banking 2.0" by seamlessly integrating cryptocurrency innovation with traditional finance infrastructure. This transformation rivals artificial intelligence as the next major disruptor in the financial sector. Modern fiat currencies derive value entirely from institutional trust rather than physical backing, …

Interactive framework for techno-economic meta-analysis of marine hydrogen transportation
Lucas Hanssens, Maarten Houlleberghs, Karel Van Acker, Johan A. Martensand Eric Breynaert
https://arxiv.org/abs/2508.10923

Interactive framework for techno-economic meta-analysis of marine hydrogen transportation
As a result of the wide span of uncertainties and input variables considered in recent peer-reviewed studies on hydrogen supply chains, consensus and generalized insight are hard to derive. This work presents a meta-analysis model, building upon a growing database of literature cost estimations and enabling dynamic investigation and comparison of hydrogen transportation chains under varying input scenarios. Also built into the framework is the evaluation of the impact of costing methodology and…

Krein Space Numerical Range of Block Matrices -- a Unified Approach to the Hyperbolic Case
N. Bebiano, R. Lemos, G. Soares
https://arxiv.org/abs/2508.12039 https://

Krein Space Numerical Range of Block Matrices -- a Unified Approach to the Hyperbolic Case
In this paper, we investigate the Krein space numerical range of $2$-by-$2$ block matrices, with diagonal blocks as scalar multiples of the identity. For these matrices, we specifically investigate the cases when the respective boundary generating curves consist of hyperbolas. This provides a unified approach to derive established and new results concerning the numerical range hyperbolic shape.

Universal Thermodynamics of Dunkl-Deformed Bose Gases: From Power-Law Traps to Physical Bounds
M. Medani, M. Benarous, A. Hocine, F. Merabtine
https://arxiv.org/abs/2508.12124 h…

Universal Thermodynamics of Dunkl-Deformed Bose Gases: From Power-Law Traps to Physical Bounds
We study an ideal Bose gas confined by a $D$-dimensional power-law potential within the framework of the Dunkl formalism. By analyzing the combined effects of spatial dimensionality and trap geometry, we derive universal expressions for the thermodynamic quantities, which depend solely on a single parameter. This reduction reveals the existence of universality classes that apply to any power-law potential, regardless of its specific form.

Dynamic Non-Bayesian Persuasion
Masanori Kobayashi
https://arxiv.org/abs/2508.12328 https://arxiv.org/pdf/2508.12328

Dynamic Non-Bayesian Persuasion
We study a multi-step persuasion problem involving a Bayesian sender and a non-Bayesian receiver. When the receiver deviates from Bayesian updating, the sender may benefit from -- or be harmed by -- gradually revealing information over time. We show that under divisible updating rules (Cripps, 2018), delaying information provision does not affect the sender's ex-ante value. Focusing on the $α$--$β$ rule of Grether (1980), we derive the necessary and sufficient conditions under which the sende…

Incentivizing High Quality Entrants When Creators Are Strategic
Felicia Nguyen
https://arxiv.org/abs/2509.14102 https://arxiv.org/pdf/2509.14102

Incentivizing High Quality Entrants When Creators Are Strategic
We study how a platform should design early exposure and rewards when creators strategically choose quality before release. A short testing window with a pass/fail bar induces a pass probability, the slope of which is the key sufficient statistic for incentives. We derive three main results. First, a closed-form ``implementability bounty'' can perfectly align creator and platform objectives, correcting for incomplete revenue sharing. Second, front-loading guaranteed impressions is the most effe…

$\hat{H}$-eigenvalues of Hermitian tensors and some applications
Haojie Chen, Yang Yang
https://arxiv.org/abs/2508.12476 https://arxiv.org/pdf/2508.12476…

$\hat{H}$-eigenvalues of Hermitian tensors and some applications
We introduce $\hat{H}$-eigenvalue for $2m$-th order $n$-dimensional complex tensors. Then we determine several checkable inclusion sets for $\hat{H}$-eigenvalues and derive some criterions for the Hermitian positive definiteness (semi-definiteness) of Hermitian and CPS tensors. We also apply the Hermitian tensors to study holomorphic sectional curvature in complex differential geometry and reprove the algebraic part of recent results by Alvarez-Heier-Zheng and Chaturvedi-Heier.

A solution of the quantum time of arrival problem via mathematical probability theory
Maik Reddiger
https://arxiv.org/abs/2508.11368 https://arxiv.org/pdf/…

A solution of the quantum time of arrival problem via mathematical probability theory
Time of arrival refers to the time a particle takes after emission to impinge upon a suitably idealized detector surface. Within quantum theory, no generally accepted solution exists so far for the corresponding probability distribution of arrival times. In this work we derive a general solution for a single body without spin impacting on a so called ideal detector in the absence of any other forces or obstacles. A solution of the so called screen problem for this case is also given. We constru…

New type degenerate Simsek numbers and related aspects
Lahcen Oussi
https://arxiv.org/abs/2508.11720 https://arxiv.org/pdf/2508.11720

New type degenerate Simsek numbers and related aspects
In this paper, we introduce a new type degenerate Simsek numbers and their generating function, which are different from degenerate Simsek number studied so far. We establish the explicit formula, recurrence relation and other identities for these numbers. We also derive several interesting expressions and relations between these numbers and certain other special numbers in the literature.

Fractional instantons in 2d $\mathbb{C}P^{N-1}$ model and 4d Yang-Mills theory with 't Hooft twists
Yui Hayashi, Tatsuhiro Misumi, Muneto Nitta, Keisuke Ohashi, Yuya Tanizaki
https://arxiv.org/abs/2507.12802

Fractional instantons in 2d $\mathbb{C}P^{N-1}$ model and 4d Yang-Mills theory with 't Hooft twists
We derive the explicit formula for fractional BPS lumps (or fractional instantons) in the $\mathbb{C}P^{N-1}$ nonlinear sigma model on a two-dimensional torus under various shift-clock twisted boundary conditions. After regularizing the $\mathbb{C}P^{N-1}$ model by an $N$-component Abelian-Higgs model, those twisted boundary conditions introduce nontrivial 't~Hooft fluxes $p/N$ for the $U(1)$ gauge field, and the topological charge becomes fractionalized as $k+p/N\in \mathbb{Z}+p/N$. The moduli…

On computing and the complexity of computing higher-order $U$-statistics, exactly
Xingyu Chen, Ruiqi Zhang, Lin Liu
https://arxiv.org/abs/2508.12627 https://

On computing and the complexity of computing higher-order $U$-statistics, exactly
Higher-order $U$-statistics abound in fields such as statistics, machine learning, and computer science, but are known to be highly time-consuming to compute in practice. Despite their widespread appearance, a comprehensive study of their computational complexity is surprisingly lacking. This paper aims to fill that gap by presenting several results related to the computational aspect of $U$-statistics. First, we derive a useful decomposition from an $m$-th order $U$-statistic to a linear combi…

The Power Contamination Problem on Grids Revisited: Optimality, Combinatorics, and Links to Integer Sequences
El-Mehdi Mehiri, Mohammed L. Nadji
https://arxiv.org/abs/2509.12756

The Power Contamination Problem on Grids Revisited: Optimality, Combinatorics, and Links to Integer Sequences
This paper presents a combinatorial study of the power contamination problem, a dynamic variant of power domination modeled on grid graphs. We resolve a conjecture posed by Ainouche and Bouroubi (2021) by proving it is false and instead establish the exact value of the power contamination number on grid graphs. Furthermore, we derive recurrence relations for this number and initiate the enumeration of optimal contamination sets. We prove that the number of optimal solutions for specific grid fa…

Local constancy of reduction type and related invariants for curves in $p$-adic families
Jakab Schrettner
https://arxiv.org/abs/2508.12329 https://arxiv.or…

Local constancy of reduction type and related invariants for curves in $p$-adic families
We investigate the behaviour of the reduction type and related invariants of curves in families of curves over a discretely valued field. By a family, we will mean a set of curves obtained by perturbing the coefficients of the defining equations. We will show that the reduction type in these families is locally constant in the topology induced by the valuation. We also derive local constancy results for some related invariants, such as the Tamagawa number, the Birch and Swinnerton-Dyer 'fudge f…

Generalized Clapeyron's theorem
Yury Grabovsky, Lev Truskinovsky
https://arxiv.org/abs/2508.12441 https://arxiv.org/pdf/2508.12441

Generalized Clapeyron's theorem
Clapeyron's Theorem in classical linear elasticity provides a way to explicitly express the energy stored in an equilibrium configuration in terms of the work of the forces applied on the boundary. We derive several new integral relations which can be viewed as nonlinear analogs of this classical result, reinterpreting them as rather general statements within Calculus of Variations. In the framework of nonlinear elasticity these relations reflect various partial symmetries of the material respo…

Unified Framework for Geodesic Dynamics with Conservative, Dissipative, and GUP Effects
Gaurav Bhandari, S. D. Pathak, Harjit Ghotra
https://arxiv.org/abs/2509.14663 https://

Unified Framework for Geodesic Dynamics with Conservative, Dissipative, and GUP Effects
We derive generalized geodesic equations in curved spacetime that include conservative forces, dissipative effects, and quantum-gravity-motivated minimal-length corrections. Conservative interactions are incorporated through external vector potentials, while dissipative dynamics arise from an exponential rescaling of the particle Lagrangian. Quantum-gravity effects are introduced via Generalized Uncertainty Principle (GUP) deformed Poisson brackets in the Hamiltonian framework. We show that fre…

Magnetic activity and differential rotation of HIP12653
Amina Boulkaboul, Lotfi Yelles Chaouche, Alessandro Carmelo Lanzafame, Yassine Damerdji
https://arxiv.org/abs/2509.14902 …

Magnetic activity and differential rotation of HIP12653
We present a spectroscopic and photometric study of HIP12653 to investigate its magnetic cycle and differential rotation. Using HARPS archival spectra matched with MARCS-AMBER theoretical templates, we derive the stellar parameters (Teff, logg, FeH, and vsini) of the target. The S-index, an activity indicator based on the emission of the CaII H&K lines, is fitted to determine the magnetic cycle and rotation periods. We refine the magnetic cycle period to 5799.20 \pm 0.88 d and suggest the exist…

A Law of Emergence: Maximum Causal Power at the Mesoscale
Liang Chen
https://arxiv.org/abs/2508.12016 https://arxiv.org/pdf/2508.12016

A Law of Emergence: Maximum Causal Power at the Mesoscale
Complex systems universally exhibit emergence, where macroscopic dynamics arise from local interactions, but a predictive law governing this process has been absent. We establish and verify such a law. We define a system's causal power at a spatial scale, $\ell$, as its Effective Information (EI$_\ell$), measured by the mutual information between a targeted, maximum-entropy intervention and its outcome. From this, we derive and prove a Middle-Scale Peak Theorem: for a broad class of systems wit…

Modeling skiers flows via Wardrope equilibrium in closed capacitated networks
Demyan Yarmoshik, Igor Ignashin, Ekaterina Sikacheva, Alexander Gasnikov
https://arxiv.org/abs/2509.13392

Modeling skiers flows via Wardrope equilibrium in closed capacitated networks
We propose an equilibrium model of ski resorts where users are assigned to cycles in a closed network. As queues form on lifts with limited capacity, we derive an efficient way to find waiting times via convex optimization. The equilibrium problem is formulated as a variational inequality, and numerical experiments show that it can be solved using standard algorithms.

Geometry of left-invariant vector fields on Lie groups
M. L. Foka, R. P. Nimpa, M. B. N. Djiadeu
https://arxiv.org/abs/2508.11440 https://arxiv.org/pdf/250…

Geometry of left-invariant vector fields on Lie groups
This paper examines the geometry of left-invariant vector fields on five-dimensional, simply connected, nilpotent Lie groups equipped with left-invariant Riemannian metrics. Using the canonical identification between the Lie algebra and the space of left-invariant vector fields, we derive algebraic characterizations for Killing, one-harmonic Killing, conformal, and concurrent vector fields. Employing a classification of these nilpotent Lie algebras into ten canonical types, we perform a case-by…

Goal-Oriented Joint Source-Channel Coding: Distortion-Classification-Power Trade-off
Andriy Enttsel, Weichen Wang, Mauro Mangia, Riccardo Rovatti, Deniz G\"und\"uz
https://arxiv.org/abs/2509.14217

Goal-Oriented Joint Source-Channel Coding: Distortion - Classification - Power Trade-off
Joint source-channel coding is a compelling paradigm when low-latency and low-complexity communication is required. This work proposes a theoretical framework that integrates classification and anomaly detection within the conventional signal reconstruction objective. Assuming a Gaussian scalar source and constraining the encoder to piecewise linear mappings, we derive tractable design rules and explicitly characterize the trade-offs between distortion, classification error, and transmission po…

Tensor-polarized parton density in the $N \to \Delta$ transition from the large-$N_c$ light-cone wave function
June-Young Kim
https://arxiv.org/abs/2508.11491 https://

Tensor-polarized parton density in the $N \to Δ$ transition from the large-$N_c$ light-cone wave function
The tensor-polarized parton density is defined by the forward matrix element of a partonic operator in the $N \to Δ$ transition. In this work, we investigate it by employing the large-$N_c$ light-cone wave function derived from the mean-field approach. The mean-field picture is based on low-energy effective dynamics in the large-$N_c$ limit, where the baryon wave function is formulated in the rest frame. By exploiting the covariance of the mean-field solution, we derive the corresponding large…

Cross-World Assumption and Refining Prediction Intervals for Individual Treatment Effects
Juraj Bodik, Yaxuan Huang, Bin Yu
https://arxiv.org/abs/2507.12581

Cross-World Assumption and Refining Prediction Intervals for Individual Treatment Effects
While average treatment effects (ATE) and conditional average treatment effects (CATE) provide valuable population- and subgroup-level summaries, they fail to capture uncertainty at the individual level. For high-stakes decision-making, individual treatment effect (ITE) estimates must be accompanied by valid prediction intervals that reflect heterogeneity and unit-specific uncertainty. However, the fundamental unidentifiability of ITEs limits the ability to derive precise and reliable individua…

Scaling Behaviors in Active Model B via the Functional Renormalization Group
Gergely Fej\H{o}s, Zsolt Sz\'ep, Naoki Yamamoto
https://arxiv.org/abs/2508.12065 https://

Scaling Behaviors in Active Model B+ via the Functional Renormalization Group
We study the scaling behaviors of the Active Model B+ using the functional renormalization group (FRG) approach, based on the nonequilibrium effective action formulated via the Martin-Siggia-Rose path-integral formalism. We derive the $β$ functions for all couplings of the system in generic $d$ dimensions, revealing regulator independence in various contributions to the RG flow at specific values for $d$. After identifying specific regions of the parameter space that define submodels closed un…

Vanishing Refractories: Tracing Dust Evolution in the BP Tau Protoplanetary Disk
Marbely Micolta (University of Michigan), Justin Svarc (University of Michigan), Nuria Calvet (University of Michigan), Ezequiel Manzo-Martinez (University of Michigan, Universidad Nacional Aut\'onoma de M\'exico), Thanawuth Thanathibodee (Chulalongkorn University), Gladis Magris C (Centro de Investigaciones de Astronom\'ia ''Francisco J. Duarte'' CIDA), Avalon Littwiller (Unive…

Vanishing Refractories: Tracing Dust Evolution in the BP Tau Protoplanetary Disk
We present a multi-wavelength analysis of the dust of BP Tau's protoplanetary disk. We use new optical spectra of BP Tau, taken with the Magellan/MIKE spectrograph in tandem with archival UV and mid-infrared observations. We use the magnetospheric accretion model to analyze the Ca II K and Mg II 2796.4 Å emission lines and derive the abundance of Ca and Mg in the accretion flows as a proxy for the refractory abundance in the innermost gas disk. Furthermore, we used irradiated accretion disk mo…

Long time behavior of the Vlasov-Maxwell-Fokker-Planck system with a strong external magnetic field
Anh-Tuan Vu
https://arxiv.org/abs/2508.12231 https://ar…

Long time behavior of the Vlasov-Maxwell-Fokker-Planck system with a strong external magnetic field
The subject matter of this paper concerns the magnetic confinement of plasma. We investigate the long time behavior of the Vlasov-Maxwell-Fokker-Planck system under the effect of a strong external magnetic field. We first formally derive an asymptotically reduced model. In three space dimensions, a constraint occurs along the parallel direction to the magnetic field. To eliminate the corresponding Lagrange multiplier, we then study the Vlasov-Maxwell-Fokker-Planck system in two spatial dimensio…

Direct Experimental Observation of Quantum Mpemba Effect without Bath Engineering
Arijit Chatterjee, Sakil Khan, Sachin Jain, T S Mahesh
https://arxiv.org/abs/2509.13451 https:/…

Direct Experimental Observation of Quantum Mpemba Effect without Bath Engineering
The quantum Mpemba effect refers to the phenomenon of a quantum system in an initial state, far away from equilibrium, relaxing much faster than a state comparatively nearer to equilibrium. We experimentally demonstrate that this highly counterintuitive effect can occur naturally during the thermalization of quantum systems. Considering dipolar relaxation as the dominant decoherence process, we theoretically derive the conditions that can lead to the Mpemba effect in nuclear spins. After experi…

Improving Reinforcement Learning Sample-Efficiency using Local Approximation
Mohit Prashant, Arvind Easwaran
https://arxiv.org/abs/2507.12383 https://

Improving Reinforcement Learning Sample-Efficiency using Local Approximation
In this study, we derive Probably Approximately Correct (PAC) bounds on the asymptotic sample-complexity for RL within the infinite-horizon Markov Decision Process (MDP) setting that are sharper than those in existing literature. The premise of our study is twofold: firstly, the further two states are from each other, transition-wise, the less relevant the value of the first state is when learning the $ε$-optimal value of the second; secondly, the amount of 'effort', sample-complexity-wise, ex…

Chemical Enrichment of Isolated Relic Galaxy Mrk1216
M. K{\i}yami Erdim, Emine G\"ulmez, Murat H\"udaverdi
https://arxiv.org/abs/2509.14613 https://

Chemical Enrichment of Isolated Relic Galaxy Mrk1216
In this study, we investigate the chemical enrichment and structural evolution of the isolated elliptical relic galaxy Mrk1216 through X-ray observations. As a red-nugget relic, Mrk1216 provides a rare window into the early Universe, owing to its minimal interaction with the surrounding environment. Using data from the XMM-Newton telescope, we model the X-ray emission of its interstellar medium to derive radial temperature and abundance profiles. We find that the central region exhibits an elev…

On Instantons in Gross-Neveu and Gross-Neveu-Yukawa models
A. Imaanpur, S. E. Sadati
https://arxiv.org/abs/2508.12080 https://arxiv.org/pdf/2508.12080

On Instantons in Gross-Neveu and Gross-Neveu-Yukawa models
We study fermionic instantons of the Gross-Neveu and the Gross-Neveu-Yukawa models. We derive solutions for both models and examine the corresponding actions at the fixed points. We further map the solutions on to the sphere and discuss the relation to the Hubbard-Stratonovich approach. Close to the fixed points we compare and identify the results with those obtained in the large $N$ computation.

Sub-Poisson distributions: Concentration inequalities, optimal variance proxies, and closure properties
Lasse Leskel\"a, Ian V\"alimaa
https://arxiv.org/abs/2508.12103

Sub-Poisson distributions: Concentration inequalities, optimal variance proxies, and closure properties
We introduce a nonasymptotic framework for sub-Poisson distributions with moment generating function dominated by that of a Poisson distribution. At its core is a new notion of optimal sub-Poisson variance proxy, analogous to the variance parameter in the sub-Gaussian setting. This framework allows us to derive a Bennett-type concentration inequality without boundedness assumptions and to show that the sub-Poisson property is closed under key operations including independent sums and convex com…

Optimal Transport Based Testing in Factorial Design
Michel Groppe, Linus Niem\"oller, Shayan Hundrieser, David Ventzke, Anna Blob, Sarah K\"oster, Axel Munk
https://arxiv.org/abs/2509.13970

Optimal Transport Based Testing in Factorial Design
We introduce a general framework for testing statistical hypotheses for probability measures supported on finite spaces, which is based on optimal transport (OT). These tests are inspired by the analysis of variance (ANOVA) and its nonparametric counterparts. They allow for testing linear relationships in factorial designs between discrete probability measures and are based on pairwise comparisons of the OT distance and corresponding barycenters. To this end, we derive under the null hypotheses…

Bulk photovoltaic effects in the Haldane model
Bo-Xin Lin, Hsiu-Chuan Hsu
https://arxiv.org/abs/2508.12414 https://arxiv.org/pdf/2508.12414

Bulk photovoltaic effects in the Haldane model
The bulk photovoltaic effect (BPVE) refers to the direct current generation in a noncentrosymmetric material under illumination and can be applied to solar energy technology. BPVE includes injection and shift currents, led by the change of velocity and displacement of wave packet during optical transitions, respectively. We derive the constraints on the conductivity tensors imposed by mirror-time ($\mathcal{MT}$) symmetry for two-dimensional systems. For the Haldane model, we show that linearly…

Three-dimensional ghost-free representations of the Pais-Uhlenbeck model from Tri-Hamiltonians
Alexander Felski, Andreas Fring, Bethan Turner
https://arxiv.org/abs/2509.13925 ht…

Three-dimensional ghost-free representations of the Pais-Uhlenbeck model from Tri-Hamiltonians
We present a detailed analysis of the sixth-order Pais-Uhlenbeck oscillator and construct three-dimensional ghost-free representations through a Tri-Hamiltonian framework. We identify a six-dimensional Abelian Lie algebra of the PU model's dynamical flow and derive a hierarchy of conserved Hamiltonians governed by multiple compatible Poisson structures. These structures enable the realisation of a complete Tri-Hamiltonian formulation that generates identical dynamical flows. Positive-definite H…

from my link log —
Speed wins when fuzzing Rust code with #[derive(Arbitrary)].
https://nnethercote.github.io/2025/08/16/speed-wins-when-fuzzing-rust-code-with-derive-arbitrary.html
saved 2025-08-22

Joint Scheduling and Multiflow Maximization in Wireless Networks
Yanxiao Liu, Shenghao Yang, Cheuk Ting Li
https://arxiv.org/abs/2509.14582 https://arxiv.o…

Joint Scheduling and Multiflow Maximization in Wireless Networks
Towards the development of 6G mobile networks, it is promising to integrate a large number of devices from multi-dimensional platforms, and it is crucial to have a solid understanding of the theoretical limits of large-scale networks. We revisit a fundamental problem at the heart of network communication theory: the maximum multiflow (MMF) problem in multi-hop networks, with network coding performed at intermediate nodes. To derive the exact-optimal solution to the MMF problem (as opposed to ap…

Modulational instability of inter-spin-orbit coupled Bose-Einstein condensates in deep optical lattice
R. Sasireka, S. Sabari, A. Uthayakumar, Lauro Tomio
https://arxiv.org/abs/2509.14831

Modulational instability of inter-spin-orbit coupled Bose-Einstein condensates in deep optical lattice
We present a comprehensive study of modulational instability (MI) in a binary Bose-Einstein condensate with spin-orbit coupling, confined to a deep optical lattice. The system is modeled by a set of discrete Gross-Pitaevskii equations. Using linear stability analysis, we derive the explicit MI conditions for the system, elucidating the critical and distinct roles played by spin-orbit coupling, inter-species nonlinearity, and intra-species nonlinearity. Our analysis, conducted for both unstagger…

Echoes and quasinormal modes of asymmetric black bounces
Alana C. L. Santos, Leandro A. Lessa, Roberto V. Maluf, Gonzalo J. Olmo
https://arxiv.org/abs/2508.11096 https://…

Echoes and quasinormal modes of asymmetric black bounces
We study quasinormal modes and echoes of symmetric and asymmetric black bounce solutions generated by anisotropic fluids within the framework of general relativity. We derive the effective potential governing massless scalar fields and compute the corresponding quasinormal mode spectra using three independent methods: sixth-order WKB, Pöschl-Teller and time-domain evolution. Our results show that symmetric black bounce configurations with horizons yield a standard single-barrier potential, whi…

The SPAr process: proton captures powering carbon-oxygen shell mergers in massive stars
L. Roberti, M. Pignatari
https://arxiv.org/abs/2509.13749 https://a…

The SPAr process: proton captures powering carbon-oxygen shell mergers in massive stars
Carbon-oxygen (C-O) shell mergers in massive stars play a crucial role in both nucleosynthesis and the final stages of stellar evolution. These convective-reactive events significantly alter the internal structure of the star shortly before core collapse. We investigate how the enhanced production of light particles (especially protons) during a C-O shell merger, relative to classical oxygen shell burning, affects the energy balance and evolution of the convective shell. We derive the budget fo…

Lower bounds for the eigenvalues of the Hodge Laplacian on certain non-convex domains
Tirumala Chakradhar, Pierre Guerini
https://arxiv.org/abs/2509.15081 https://

Lower bounds for the eigenvalues of the Hodge Laplacian on certain non-convex domains
We establish geometric lower bounds for the smallest positive eigenvalue of the Hodge Laplacian in the class of non-convex domains given by Euclidean annular regions with a convex outer boundary and a spherical inner boundary. These bounds are then extended to convex domains with multiple holes, where we derive lower bounds for certain higher order exact eigenvalues, and under additional geometric assumptions, also for the smallest positive eigenvalue. For $1$-forms on compact manifolds with bo…

Beyond Diagonal Reconfigurable Intelligent Surface Enabled Sensing: Cramer-Rao Bound Optimization
Xiaoqi Zhang, Liang Liu, Shuowen Zhang, Haijun Zhang
https://arxiv.org/abs/2508.11292

Beyond Diagonal Reconfigurable Intelligent Surface Enabled Sensing: Cramer-Rao Bound Optimization
Recently, beyond diagonal reconfigurable intelligent surface (BD-RIS) has emerged as a more flexible solution to engineer the wireless propagation channels, thanks to its non-diagonal reflecting matrix. Although the gain of the BD-RIS over the conventional RIS in communication has been revealed in many works, its gain in 6G sensing is still unknown. This motivates us to study the BD-RIS assisted sensing in this letter. Specifically, we derive the Cramer-Rao bound (CRB) for estimating the angle-…

Free mutual information and higher-point OTOCs
Shreya Vardhan, Jinzhao Wang
https://arxiv.org/abs/2509.13406 https://arxiv.org/pdf/2509.13406

Free mutual information and higher-point OTOCs
We introduce a quantity called the free mutual information (FMI), adapted from concepts in free probability theory, as a new physical measure of quantum chaos. This quantity captures the spreading of a time-evolved operator in the space of all possible operators on the Hilbert space, which is doubly exponential in the number of degrees of freedom. It thus provides a finer notion of operator spreading than the well-understood phenomenon of operator growth in physical space. We derive two central…

On the Gaussian Limit of the Output of IIR Filters
Yashaswini Murthy, Bassam Bamieh, R. Srikant
https://arxiv.org/abs/2508.12705 https://arxiv.org/pdf/2508…

On the Gaussian Limit of the Output of IIR Filters
We study the asymptotic distribution of the output of a stable Linear Time-Invariant (LTI) system driven by a non-Gaussian stochastic input. Motivated by longstanding heuristics in the stochastic describing function method, we rigorously characterize when the output process becomes approximately Gaussian, even when the input is not. Using the Wasserstein-1 distance as a quantitative measure of non-Gaussianity, we derive upper bounds on the distance between the appropriately scaled output and a …

Nonextensive Thermodynamics of the Morse Oscillator: Signature and Solid State Application
Arpita Goswami
https://arxiv.org/abs/2508.11045 https://arxiv.or…

Nonextensive Thermodynamics of the Morse Oscillator: Signature and Solid State Application
In this work, we present a detailed thermodynamic analysis of a bound quantum system: the Morse oscillator within the framework of Tsallis nonextensive statistics. Using the property of the bound spectrum (upper bound) of the Morse potential, limited by the bond dissociation energy, we analytically derive the generalized partition function. We present results for both the high- and low-temperature limits. We propose the effective number of accessible states as a measure of nonextensivity. The c…

Kinematic flow from the flow of cuts
Ross Glew, Andrzej Pokraka
https://arxiv.org/abs/2508.11568 https://arxiv.org/pdf/2508.11568

Kinematic flow from the flow of cuts
The wavefunction coefficients of conformally coupled scalars in power-law FRW cosmologies satisfy differential equations governed by a set of simple combinatorial rules known as the kinematic flow. In this paper we derive the kinematic flow, expressed using a set of differential forms referred to as the cut basis, from a geometric perspective, relying solely on the cosmological hyperplane arrangement and without invoking bulk physics. Each element of the cut basis corresponds to the positive ge…

Reconstruction of strong degeneracy region for parabolic equations and systems
Piermarco Cannarsa, Veronica Danesi, Anna Doubova
https://arxiv.org/abs/2509.13962 https://…

Reconstruction of strong degeneracy region for parabolic equations and systems
We address the inverse problem of recovering a degeneracy point within the diffusion coefficient of a one-dimensional complex parabolic equation by observing the normal derivative at one point of the boundary. The strongly degenerate case is analyzed. In particular, we derive sufficient conditions on the initial data that guarantee the stability and uniqueness of the solution obtained from a one-point measurement. Moreover, we present more general uniqueness theorems, which also cover the ident…

A Simpler Proof of Kakutani's Conjecture on Random Subdivision and Its Generalizations
Changqing Liu
https://arxiv.org/abs/2508.12154 https://arxiv.org…

A Simpler Proof of Kakutani's Conjecture on Random Subdivision and Its Generalizations
We shift the perspective on the interval fragmentation problem from division points to division spacings. This leads to a proof that is both simpler and stronger, establishing limiting distributions for partition points and spacings and, more importantly, including large-deviation error bounds. Moreover, the approach is general. We derive the limiting spacing distribution for arbitrary division points, and claim it is independent of splitting scheme. It is shown that, under certain conditions, …

On the distance between mean and geometric median in high dimensions
Richard Schwank, Mathias Drton
https://arxiv.org/abs/2508.12926 https://arxiv.org/pdf/…

On the distance between mean and geometric median in high dimensions
The geometric median, a notion of center for multivariate distributions, has gained recent attention in robust statistics and machine learning. Although conceptually distinct from the mean (i.e., expectation), we demonstrate that both are very close in high dimensions when the dependence between the distribution components is suitably controlled. Concretely, we find an upper bound on the distance that vanishes with the dimension asymptotically, and derive a rate-matching first order expansion o…

Thermodynamics of FLRW universe in Quadratic Gravity
Navid Safarzadeh Ilkhchi, Amin Rezaei Akbarieh, Yaghoub Heydarzade
https://arxiv.org/abs/2507.12055 ht…

Thermodynamics of FLRW universe in Quadratic Gravity
In this paper, we investigate the thermodynamic aspects of quadratic gravity in a $D$-dimensional Friedmann-Lemaitre-Robertson-Walker (FLRW) universe. First, we derive the field equations and the effective energy-momentum tensor for quadratic gravity. Then, using these equations, we obtain the generalized Misner-Sharp energy within the framework of this model. We consider the thermodynamic behavior of the apparent horizon and derive the equations of state related to the pressure, temperature, a…

Autonomous Driving with RSMA-Enabled Finite Blocklength Transmissions: Ergodic Performance Analysis and Optimization
Yi Wang, Yingyang Chen, Li Wang, Donghong Cai, Xiaofan Li, Pingzhi Fan
https://arxiv.org/abs/2508.12012

Autonomous Driving with RSMA-Enabled Finite Blocklength Transmissions: Ergodic Performance Analysis and Optimization
Rate-splitting multiple access (RSMA) is a key technology for next-generation multiple access systems due to its robustness against imperfect channel state information (CSI). This makes RSMA particularly suitable for high-mobility autonomous driving, where ultra-reliable and low-latency communication (URLLC) is essential. To address the stringent requirements, this study enables RSMA finite blocklength (FBL) transmissions and explicitly evaluates the ergodic performance. We derive the closed-fo…

Andreev crystals in hybrid Josephson junction arrays
Anders Enevold Dahl, Andrea Maiani, Max Geier, Javad Shabani, Karsten Flensberg
https://arxiv.org/abs/2508.11768 https://

Andreev crystals in hybrid Josephson junction arrays
Andreev bound states are superpositions of electrons and holes in a metal that form by coherent reflection from a superconductor. When the length of the superconductor is comparable to the superconducting coherence length, Andreev bound states at opposite edges hybridize by quasiparticle tunneling. In a periodic array, these hybridized bound states form a band at energies below the superconducting gap. In this paper, we derive a theoretical framework for the transport properties of these Andree…

Risk-Based Prognostics and Health Management
John W. Sheppard
https://arxiv.org/abs/2508.11031 https://arxiv.org/pdf/2508.11031

Risk-Based Prognostics and Health Management
It is often the case that risk assessment and prognostics are viewed as related but separate tasks. This chapter describes a risk-based approach to prognostics that seeks to provide a tighter coupling between risk assessment and fault prediction. We show how this can be achieved using the continuous-time Bayesian network as the underlying modeling framework. Furthermore, we provide an overview of the techniques that are available to derive these models from data and show how they might be used …

Quantum nature of gravity in self-bound quantum droplets
Asma Tahar Taiba, Abdelaali Boudjemaa
https://arxiv.org/abs/2508.12838 https://arxiv.org/pdf/2508.…

Quantum nature of gravity in self-bound quantum droplets
We explore the possibility of testing the quantum nature of the gravitational field with an ultracold self-bound quantum droplet of one-dimensional Bose-Bose mixtures. To this end, we solve variationally and numerically the underlying generalized Gross-Pitaevskii equation which includes the effects of quadratic and cubic nonlinearities. We derive the associated generalized uncertainty principle and its corresponding minimal length. The obtained modified uncertainty relation enables us to search…

Walking on Archimedean Lattices: Insights from Bloch Band Theory
Davidson Noby Joseph, Igor Boettcher
https://arxiv.org/abs/2507.12662 https://

Walking on Archimedean Lattices: Insights from Bloch Band Theory
Returning walks on a lattice are sequences of moves that start at a given lattice site and return to the same site after $n$ steps. Determining the total number of returning walks of a given length $n$ is a typical graph-theoretical problem with connections to lattice models in statistical and condensed matter physics. We derive analytical expressions for the returning walk numbers on the eleven two-dimensional Archimedean lattices by developing a connection to the theory of Bloch energy bands.…

Dimensional reduction of the M-theory Chern-Simons term at order $\ell_p^6$
Mohammad R. Garousi
https://arxiv.org/abs/2509.13726 https://arxiv.org/pdf/2509…

Dimensional reduction of the M-theory Chern-Simons term at order $\ell_p^6$
The dimensional reduction of M-theory couplings at order $\ell_p^6$ is known to produce one-loop $α'^3$ corrections in type IIA string theory. In this paper, we perform the Kaluza-Klein reduction of the M-theory Chern-Simons coupling $t_8ε_{11} A R^4$ at this order. By meticulously accounting for non-gauge-invariant total derivative terms, we derive the complete set of corresponding one-loop, gauge-invariant couplings in the type IIA effective action. Our results not only reproduce the standa…

Analysis of a parabolic-hyperbolic hybrid population model: an integrated semigroup approach
Qihua Huang, Minglong Wang, Yixiang Wu
https://arxiv.org/abs/2507.12833

Analysis of a parabolic-hyperbolic hybrid population model: an integrated semigroup approach
This paper is concerned with the global dynamics of a hybrid parabolic-hyperbolic model describing populations with distinct dispersal and sedentary stages. We first establish the global well-posedness of solutions, prove a comparison principle, and demonstrate the asymptotic smoothness of the solution semiflow. Through the spectral analysis of the linearized system, we derive and characterize the net reproductive rate $\mathcal{R}_{0}$. Furthermore, an explicit relationship between $\mathcal{R…

Einstein's Equations in Electromagnetic Media
Eren Erberk Erkul, Ulf Leonhardt
https://arxiv.org/abs/2508.11300 https://arxiv.org/pdf/2508.11300…

Einstein's Equations in Electromagnetic Media
In this paper, Plebanski's 1960 mapping is extended to encode the full Einstein system in an electromagnetic medium. This is achieved by identifying transformation parameters in terms of the ADM constraint and evolution equations, and subsequently applying the mapping to the entire system. These transformed equations are then linearized in vacuum to derive gravitational-wave analogues as perturbations within the optical medium.

Towards a theory of dissipative Dark Matter I: the Born limit
Garance Lankester--Broche, Josef Pradler
https://arxiv.org/abs/2509.12317 https://arxiv.org/p…

Towards a theory of dissipative Dark Matter I: the Born limit
We derive the energy-differential cross section and energy loss rate for dissipative self-interacting dark matter (dSIDM) models within the Born regime using perturbative quantum field theory. Six dissipative scenarios are considered, incorporating the emission of particles that may be either massless or possess a kinematically allowed light mass. Both short-range and long-range force-mediated dSIDM interactions are examined. In the non-relativistic regime we obtain closed-form expressions of t…

A Geometric View on Crossing-Symmetric Dispersion Relations
Joan Elias Miro, Andrea Guerrieri, Mehmet Asim Gumus, Ahmadullah Zahed
https://arxiv.org/abs/2509.14170 https://

A Geometric View on Crossing-Symmetric Dispersion Relations
We introduce a general framework for constructing dispersion relations using crossing-symmetric variables, leading to infinitely many distinct representations of the 2-to-2 scattering amplitude of identical scalars. Classical formulations such as the Auberson-Khuri crossing-symmetric dispersion relations (CSDRs), the Mahoux-Roy-Wanders relations, and the local CSDR, as well as fixed-t dispersion relations emerge as special cases. Within this setting we re-derive the null constraints from a geom…

A hierarchy of blood vessel models, Part II: 3D-3D to 3D-1D and 1D
Laurel Ohm, Sarah Strikwerda
https://arxiv.org/abs/2507.13330 https://

A hierarchy of blood vessel models, Part II: 3D-3D to 3D-1D and 1D
We propose and analyze a hierarchy of three models of blood perfusion through a tissue surrounding a thin arteriole or venule. Our goal is to rigorously link 3D-3D Darcy--Stokes, 3D-1D Darcy--Poiseuille, and 1D Green's function methods commonly used to model this process. Here in Part II, we consider the most detailed level, a 3D-3D Darcy-Stokes system coupled across the permeable vessel surface by mass conservation and pressure/stress balance conditions. We derive a convergence result between …

Oscillating ring ferrodark solitons with breathing nematic core in a homogeneous spinor superfluid
Xiaoquan Yu
https://arxiv.org/abs/2509.13874 https://arx…

Oscillating ring ferrodark solitons with breathing nematic core in a homogeneous spinor superfluid
We study the dynamics of ring ferrodark solitons (FDSs) in a homogeneous quasi-two-dimensional (2D) ferromagnetic spin-1 Bose-Einstein condensate (BEC). In contrast to the usual expanding dynamics of ring dark solitons in a homogeneous system, the ring FDS radius exhibits self-sustained oscillations accompanied by the nematic tensor breathing at the magnetization-vanishing ring FDS core. When the ring radius greatly exceeds the FDS width, motion is nearly elastic, and we derive the ring-radius …

CUDA Assisted Swampland and Black Hole Thermodynamics
Saad Eddine Baddis, Adil Belhaj, Hajar Belmahi
https://arxiv.org/abs/2508.12378 https://arxiv.org/pdf…

CUDA Assisted Swampland and Black Hole Thermodynamics
Motivated by string theory activities, we investigate the swampland program in the black hole context via CUDA numerical computations. Precisely, we study charged black hole solutions submerged in a hypergeometric inflationary potential extracted from Gauss-Bonnet scalar couplings to the Einstein-Maxwell-Hilbert action. Exploiting CUDA enabled parallel programming techniques, we examine the scalar potential behaviors permitting to derive the physically relevant roots of the black hole metric fu…

Dielectric scattering resonances for high-refractive resonators with cubic nonlinearity
Habib Ammari, Bowen Li
https://arxiv.org/abs/2508.12364 https://arx…

Dielectric scattering resonances for high-refractive resonators with cubic nonlinearity
This work establishes a rigorous mathematical framework for the analysis of nonlinear dielectric resonances in wave scattering by high-index resonators with Kerr-type nonlinearities. We consider both two- and three-dimensional settings and prove the existence of nonlinear dielectric resonances in the subwavelength regime, bifurcating from the zero solution at the corresponding linear resonances. Furthermore, we derive asymptotic expansions for the nonlinear resonances and states in terms of the…

Holography for stress-energy tensor flows
Xi-Yang Ran, Feng Hao, Hao Ouyang
https://arxiv.org/abs/2508.12275 https://arxiv.org/pdf/2508.12275

Holography for stress-energy tensor flows
We study the holographic description for general stress-energy tensor deformations in arbitrary dimensions using the metric flow approach. Mixed boundary conditions corresponding to these deformations emerge from solutions to the metric flow equations. To test this proposal, we analyze planar AdS black holes with such boundary conditions and find that the deformed energies satisfy flow equations consistent with the field theory interpretation. We further derive the commuting condition for stres…

Generalised two-dimensional nonlinear oscillator with a position-dependent effective mass and the thermodynamic properties
S. E. Bokpe, F. A. Dossa, G. Y. H. Avossevou
https://arxiv.org/abs/2509.12796 …

Generalised two-dimensional nonlinear oscillator with a position-dependent effective mass and the thermodynamic properties
We investigate a two-dimensional nonlinear oscillator with a position-dependent effective mass in the framework of nonrelativistic quantum mechanics. Using the Nikiforov-Uvarov method, we obtain exact analytical expressions for the energy spectrum and wave functions. Based on the canonical partition function, we derive key thermodynamic quantities, including internal energy, specific heat, free energy, and entropy. Our results show that, unlike the one-dimensional case, where the specific heat …

Recursive relations for the S-matrix of Liouville theory
George Jorjadze, Lado Razmadze, Stefan Theisen
https://arxiv.org/abs/2507.11760 https://

Recursive relations for the S-matrix of Liouville theory
We analyze the relation between the vertex operators of the in and out fields in Liouville theory. This is used to derive equations for the S-matrix, from which a recursive relation for the normal symbol of the S-matrix for discrete center-of-mass momenta is obtained. Its solution is expressed as multiple contour-integrals of a generalized Dotsenko-Fateev type. This agrees with the functional integral representation of the scattering matrix of Liouville theory which we had proposed previously.