Tootfinder

A note on the number of non-cycle components in a pseudo 2-factor of graphs
Masaki Kashima
https://arxiv.org/abs/2510.12155 https://arxiv.org/pdf/2510.1215…

A note on the number of non-cycle components in a pseudo 2-factor of graphs
A pseudo 2-factor of a graph is a spanning subgraph such that each component is $K_1$, $K_2$, or a cycle. This notion was introduced by Bekkai and Kouider in 2009, where they showed that every graph $G$ has a pseudo 2-factor with at most $α(G)-δ(G)+1$ components that are not cycles. For a graph $G$ and a set of vertices $S$, let $δ_G(S)$ denote the minimum degree of vertices in $S$. In this note, we show that every graph $G$ has a pseudo 2-factor with at most $f(G)$ components that are not c…

Search for the $D^{*}\bar{D}^{*}$ Molecular State $X_{2}(4013)$ in $K^{-}p$ and $pp$ Collisions
Min Yuan, Yin Huang
https://arxiv.org/abs/2510.12292 https://

Search for the $D^{*}\bar{D}^{*}$ Molecular State $X_{2}(4013)$ in $K^{-}p$ and $pp$ Collisions
Motivated by the interpretation of $X(3872)$ as a $D\bar{D}^{*}$ molecular state, heavy-quark spin symmetry predicts a spin-2 partner, $X_{2}(4013)$, which can be regarded as a $D^{*}\bar{D}^{*}$ molecule with quantum numbers $J^{PC} = 2^{++}$. Its experimental confirmation, however, remains elusive. In this work, we investigate the production mechanisms of $X_{2}(4013)$ in the reactions $K^{-}p \to Λ_{c}^{+} D_{s}^{-} X_{2}(4013)$ and $pp \to Λ_{c}^{+}Λ_{c}^{+} X_{2}(4013)$ within an effect…

Prethermal gauge structure and surface growth in $\mathbb{Z}_2$ lattice gauge theories
Lukas Homeier, Andrea Pizzi, Hongzheng Zhao, Jad C. Halimeh, Fabian Grusdt, Ana Maria Rey
https://arxiv.org/abs/2510.12800

Prethermal gauge structure and surface growth in $\mathbb{Z}_2$ lattice gauge theories
Universal aspects of thermalization in interacting many-body systems are typically challenging to derive microscopically, yet provide a powerful framework for understanding emergent phenomena. Here, we numerically study the mean-field dynamics of a $(2+1)$D spin system with thousands of spins and show that experimentally-feasible two-body Ising interactions can stabilize a prethermal $\mathbb{Z}_2$ lattice gauge structure with dynamical matter, manifested by a gauge-invariant plateau with expon…

Maximal $2$-extensions of Pythagorean fields and Right Angled Artin Groups
Oussama Hamza, Christian Maire, J\'an Min\'a\v{c}, Nguyen Duy T\^an
https://arxiv.org/abs/2510.11970

Maximal $2$-extensions of Pythagorean fields and Right Angled Artin Groups
In this paper, we describe minimal presentations of maximal pro-$2$ quotients of absolute Galois groups of formally real Pythagorean fields of finite type. For this purpose, we introduce a new class of pro-$2$ groups: $Δ$-Right Angled Artin groups. We show that maximal pro-$2$ quotients of absolute Galois groups of formally real Pythagorean fields of finite type are $Δ$-Right Angled Artin groups. Conversely, let us assume that a maximal pro-$2$ quotient of an absolute Galois group is a $Δ$…

Irreducibility of the Cuboid Polynomial $P_{a,u}(t)$ via a Rank-Zero Elliptic Curve
Valery Asiryan
https://arxiv.org/abs/2510.11768 https://arxiv.org/pdf/2…

Irreducibility of the Cuboid Polynomial $P_{a,u}(t)$ via a Rank-Zero Elliptic Curve
For coprime integers $a\neq u>0$ put $Δ:=u^2-a^2\neq0$ and $A_0:=a^2u^2$. Consider \[ P_{a,u}(t)=t^8+6Δ\,t^6+(Δ^2-2A_0)\,t^4-6ΔA_0\,t^2+A_0^2\in\mathbb{Z}[t]. \] We prove $P_{a,u}(t)$ is irreducible over $\mathbb{Z}$. The argument is: (1) over $K=\mathbb{Q}(\sqrt2)$, $P_{a,u}$ splits as $H_-H_+$ with coprime conjugate quartics $H_\pm$; (2) any hypothetical $K$--factorization of $H_\pm$ forces a rational point on a fixed genus--one quartic $\mathcal{C}: v^2=16y^4+136y^2+1$ with the structura…

Crosslisted article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[2/2]:
- Demystifying Hybrid Thinking: Can LLMs Truly Switch Between Think and No-Think?
Shouren Wang, Wang Yang, Xianxuan Long, Qifan Wang, Vipin Chaudhary, Xiaotian Han

Wind and nearby stellar environment of the quiescent luminous blue variable Var 2 in the Galaxy M33
A. Kostenkov, Y. Solovyeva, E. Dedov, A. Vinokurov, A. Sarkisyan
https://arxiv.org/abs/2510.11802

Wind and nearby stellar environment of the quiescent luminous blue variable Var 2 in the Galaxy M33
This paper is dedicated to the study of the luminous blue variable (LBV) Var 2 in the galaxy M33, which is currently in a "dormant" state and is observed as an Of/late-WN star. We had calculated self-consistent hydrodynamic non-LTE models of the extended atmosphere, taking into account the balance of radial forces in the wind of the star. This allowed us to obtain reliable estimates of the fundamental parameters of Var 2. The derived luminosity ($L=6.5\times10^{5}\,L_\odot$), current mass ($M_*…

On the Number of Small Points for Rational Maps
Jit Wu Yap
https://arxiv.org/abs/2510.12039 https://arxiv.org/pdf/2510.12039…

On the Number of Small Points for Rational Maps
Let $K$ be a number field and $f: \mathbb{P}^1 \to \mathbb{P}^1$ a rational map of degree $d \geq 2$ with at most $s$ places of bad reduction, where we include all archimedean places. We prove that there exists constants $c_1,c_2 > 0$, depending only on $d$ and not on $f$ or $K$, such that $$ \# \left\{ x \in \mathbb{P}^1(K) \mid \widehat{h}_f(x) \leq \frac{c_1}{s} h_{\operatorname{rat}_d}(\langle f \rangle) \right\} \leq c_2 s \log(s). $$ Here, $\operatorname{rat}_d$ is the moduli space of rat…

Evolution With(out) Time: Relational Holography & BPS Complexity Growth in $\mathcal{N}=2$ Double-Scaled SYK
Sergio E. Aguilar-Gutierrez
https://arxiv.org/abs/2510.11777 htt…

Evolution With(out) Time: Relational Holography & BPS Complexity Growth in $\mathcal{N}=2$ Double-Scaled SYK
How do we describe non-trivial bulk measurements relative to an observer (i.e. relationally) when both the observer and the system it probes may/may not evolve in time? How can we interpret this holographically; particularly for zero-energy BPS states in supersymmetric theories? We address these questions, in the $\mathcal{N}=2$ double-scaled SYK model and its putative bulk dual by: (i) formulating a holographic procedure in the language of quantum reference frames to gravitationally dress bulk…

Oxygen-vacancy-induced Raman softening in the catalyst Fe$_2$(MoO$_4$)$_3$
Young-Joon Song, Roser Valent\'i
https://arxiv.org/abs/2510.12746 https://ar…

Oxygen-vacancy-induced Raman softening in the catalyst Fe$_2$(MoO$_4$)$_3$
Although iron molybdate (Fe$_2$(MoO$_4$)$_3$) has been commercially utilized for the production of formaldehyde from methanol via oxidative dehydrogenation, the detailed mechanism during the catalytic process remains unclear. Recent operando Raman and impedance measurements of the reaction suggested that the bulk region of Fe$_2$(MoO$_4$)$_3$ acts as a reservoir of oxygen atoms that can migrate to the surface to participate in catalysis. This conclusion was drawn from the observed significant r…

Improving Decision Trees through the Lens of Parameterized Local Search
Juha Harviainen, Frank Sommer, Manuel Sorge
https://arxiv.org/abs/2510.12726 https://

Improving Decision Trees through the Lens of Parameterized Local Search
Algorithms for learning decision trees often include heuristic local-search operations such as (1) adjusting the threshold of a cut or (2) also exchanging the feature of that cut. We study minimizing the number of classification errors by performing a fixed number of a single type of these operations. Although we discover that the corresponding problems are NP-complete in general, we provide a comprehensive parameterized-complexity analysis with the aim of determining those properties of the pr…

Enhancing the Quality of 3D Lunar Maps Using JAXA's Kaguya Imagery
Yumi Iwashita, Haakon Moe, Yang Cheng, Adnan Ansar, Georgios Georgakis, Adrian Stoica, Kazuto Nakashima, Ryo Kurazume, Jim Torresen
https://arxiv.org/abs/2510.11817

Enhancing the Quality of 3D Lunar Maps Using JAXA's Kaguya Imagery
As global efforts to explore the Moon intensify, the need for high-quality 3D lunar maps becomes increasingly critical-particularly for long-distance missions such as NASA's Endurance mission concept, in which a rover aims to traverse 2,000 km across the South Pole-Aitken basin. Kaguya TC (Terrain Camera) images, though globally available at 10 m/pixel, suffer from altitude inaccuracies caused by stereo matching errors and JPEG-based compression artifacts. This paper presents a method to improv…

Crosslisted article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[2/6]:
- Integrating Sequential and Relational Modeling for User Events: Datasets and Prediction Tasks
Rizal Fathony, Igor Melnyk, Owen Reinert, Nam H. Nguyen, Daniele Rosa, C. Bayan Bruss

[2025-10-15 Wed (UTC), 2 new articles found for math.CT Category Theory]
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Koszul dual $\mathcal{A}_{\infty}$-algebras from star-shaped diagrams -- part 2
Isabella Khan
https://arxiv.org/abs/2510.12575 https://arxiv.org/pdf/2510.1…

Koszul dual $\mathcal{A}_{\infty}$-algebras from star-shaped diagrams -- part 2
This paper proves a Koszul duality result between weighted $\mathcal{A}_{\infty}$-algebras constructed in the author's previous work. In the process, we construct a new box tensor product for weighted $\mathcal{A}_{\infty}$ bimodules, and verify a correspondence between weighted $\mathcal{A}_{\infty}$-algebra maps and a particular class of $\mathcal{A}_{\infty}$-bimodule. This paper is part 2 of arXiv:2408.01564.

Optimal $L^2$ error estimation for the unfitted interface finite element method based on the non-symmetric Nitsche's methods
Gang Chen, Chaoran Liu, Yangwen Zhang
https://arxiv.org/abs/2510.12151

Optimal $L^2$ error estimation for the unfitted interface finite element method based on the non-symmetric Nitsche's methods
This paper establishes optimal error estimates in the $L^2$ for the non-symmetric Nitsche method in an unfitted interface finite element setting. Extending our earlier work, we give a complete analysis for the Poisson interface model and, by formulating a tailored dual problem that restores adjoint consistency, derive the desired bounds.

Convergence analysis of inexact MBA method for constrained upper-$\mathcal{C}^2$ optimization problems
Ruyu Liu, Shaohua Pan
https://arxiv.org/abs/2511.09940 https://arxiv.org/pdf/2511.09940 https://arxiv.org/html/2511.09940
arXiv:2511.09940v1 Announce Type: new
Abstract: This paper concerns a class of constrained optimization problems in which, the objective and constraint functions are both upper-$\mathcal{C}^2$. For such nonconvex and nonsmooth optimization problems, we develop an inexact moving balls approximation (MBA) method by a workable inexactness criterion for the solving of subproblems. By leveraging a global error bound for the strongly convex program associated with parametric optimization problems, we establish the full convergence of the iterate sequence under the partial bounded multiplier property (BMP) and the Kurdyka-{\L}ojasiewicz (KL) property of the constructed potential function, and achieve the local convergence rate of the iterate and objective value sequences if the potential function satisfies the KL property of exponent $q\in[1/2,1)$. A verifiable condition is also provided to check whether the potential function satisfies the KL property of exponent $q\in[1/2,1)$ at the given critical point. To the best of our knowledge, this is the first implementable inexact MBA method with a full convergence certificate for the constrained nonconvex and nonsmooth optimization problem.
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AwareCompiler: Agentic Context-Aware Compiler Optimization via a Synergistic Knowledge-Data Driven Framework
Hongyu Lin, Haolin Pan, Haoran Luo, Yuchen Li, Kaichun Yao, Libo Zhang, Mingjie Xing, Yanjun Wu
https://arxiv.org/abs/2510.11759

AwareCompiler: Agentic Context-Aware Compiler Optimization via a Synergistic Knowledge-Data Driven Framework
Compiler optimization is crucial for enhancing program performance by transforming the sequence of optimization passes while maintaining correctness. Despite the promising potential of large language models (LLMs)-based agent for software optimization, automating compiler optimization remains challenging due to: (1) semantic misalignment between abstract program representations and concrete optimization passes, (2) inefficient interaction mechanisms between agents and compiler environments, and…

Interlayer coupling enhanced superconductivity near 100 K in La$_{3-x}$Nd$_x$Ni$_2$O$_7$
Zhengyang Qiu, Junfeng Chen, Dmitrii V. Semenok, Qingyi Zhong, Di Zhou, Jingyuan Li, Peiyue Ma, Xing Huang, Mengwu Huo, Tao Xie, Xiang Chen, Ho-kwang Mao, Viktor Struzhkin, Hualei Sun, Meng Wang
https://arxiv.org/abs/2510.12359

Interlayer coupling enhanced superconductivity near 100 K in La$_{3-x}$Nd$_x$Ni$_2$O$_7$
Systematically controlling the superconducting transition temperature ($T_\text{c}$) in the bilayer Ruddlesden-Popper nickelate La$_3$Ni$_2$O$_7$ remains a significant challenge. Here, we address this by synthesizing high-quality polycrystalline La$_{3-x}$Nd$_x$Ni$_2$O$_7$ ($0 \leq x \leq 2.4$) with record-level rare-earth substitution. Nd doping compresses the lattice, particularly along the $c$ axis, enhances the spin density wave transition temperature, and elevates the pressure required for…

Formal Models and Convergence Analysis for Context-Aware Security Verification
Ayush Chaudhary
https://arxiv.org/abs/2510.12440 https://arxiv.org/pdf/2510.…

Formal Models and Convergence Analysis for Context-Aware Security Verification
We present a formal framework for context-aware security verification that establishes provable guarantees for ML-enhanced adaptive systems. We introduce context-completeness - a new security property - and prove: (1) sample complexity bounds showing when adaptive verification succeeds, (2) information-theoretic limits relating context richness to detection capability, (3) convergence guarantees for ML-based payload generators, and (4) compositional soundness bounds. We further provide a formal…

Searching for GEMS: TOI-5916 b & TOI-6158 b are two Saturn-density planets orbiting M2 dwarfs
Shane O'Brien, Amber Wong, Te Han, Paul Robertson, Shubham Kanodia, Caleb I. Ca\~nas, Arvind F. Gupta, Tera Swaby, Henry A. Kobulnicky, Nidia Morrell, Michael Rodruck, Andrea S. J. Lin, Andrew Monson, William D. Cochran, Chad F. Bender, Scott A. Diddams, Samuel Halverson, Daniel M. Krolikowski, Jessica E. Libby-Roberts, Joe P. Ninan, Arpita Roy, Christian Schwab, Gudmundur Stefansson

Searching for GEMS: TOI-5916 b & TOI-6158 b are two Saturn-density planets orbiting M2 dwarfs
We confirm the planetary nature of (1) TOI-5916 b and (2) TOI-6158 b, two Exoplanets Transiting M-dwarf Stars (GEMS), both discovered by the Transiting Exoplanet Survey Satellite (TESS). Both systems were confirmed with ground-based photometry (Red Buttes Observatory and Swope, respectively) and radial velocity data from the Habitable-zone Planet Finder. Their radii are $R_{1}=11.8^{+0.52}_{-0.51}\text{ }R_{\oplus}$ and $R_{2}=10.4^{+2.70}_{-1.11}\text{ }R_{\oplus}$ and masses are $M_{1}=219\pm…

Contraction and entropy production in continuous-time Sinkhorn dynamics
Anand Srinivasan, Jean-Jacques Slotine
https://arxiv.org/abs/2510.12639 https://arx…

Contraction and entropy production in continuous-time Sinkhorn dynamics
Recently, the vanishing-step-size limit of the Sinkhorn algorithm at finite regularization parameter $\varepsilon$ was shown to be a mirror descent in the space of probability measures. We give $L^2$ contraction criteria in two time-dependent metrics induced by the mirror Hessian, which reduce to the coercivity of certain conditional expectation operators. We then give an exact identity for the entropy production rate of the Sinkhorn flow, which was previously known only to be nonpositive. Exam…

[2025-10-15 Wed (UTC), 2 new articles found for math-ph Mathematical Physics]
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Asymptotics of the solution of the Cauchy problem for a singularly perturbed system of hyperbolic equations. Part 2. Initial conditions
Andrey Nesterov
https://arxiv.org/abs/2510.12550

Asymptotics of the solution of the Cauchy problem for a singularly perturbed system of hyperbolic equations. Part 2. Initial conditions
An asymptotic small parameter expansion of a single Cauchy problem is constructed for a singularly perturbed system of hyperbolic equations describing vibrations of two rigidly connected strings. Equations (such as generalized Korteweg-de Vriesequations) and initial conditions for the terms of the asymptotic expansion of the solution are determined, and under certain assumptions, the residual term is estimated from the residual.

The Popkov-Sch\"{u}tz two-lane lattice gas: Universality for general jump rates
Herbert Spohn
https://arxiv.org/abs/2510.12678 https://arxiv.org/pdf/2…

The Popkov-Schütz two-lane lattice gas: Universality for general jump rates
We consider the asymmetric version of the Popkov-Schütz two-lane lattice gas with general jump rates, subject to the stationary measure being of product form. This still leaves five free parameters. At density $\tfrac{1}{2}$ the eigenvalues of the flux Jacobian are degenerate. We compute the second order expansion of the average fluxes at density $\tfrac{1}{2}$ and thereby identify the universality classes.

[2025-10-15 Wed (UTC), 2 new articles found for cs.CC Computational Complexity]
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Stranding $\mathfrak{sl}_n$ webs
Heather M. Russell, Julianna Tymoczko
https://arxiv.org/abs/2510.12035 https://arxiv.org/pdf/2510.12035

Stranding $\mathfrak{sl}_n$ webs
Webs are a kind of planar, directed, edge-labeled graph that encode invariant vectors for quantum representations of $\mathfrak{sl}_n$. The theory of webs developed organically for $\mathfrak{sl}_2$, where they are also known as noncrossing matchings and the Temperley-Lieb algebra, before being formalized by Kuperberg for $\mathfrak{sl}_2$ and $\mathfrak{sl}_3$ as the morphisms in a diagrammatic categorification of quantum representations called the spider category. Various models extend webs t…

@…
Good question! The numbers are from a production server with NVMe storage.
Breakdown:
- 19k files (15 GB): ~8-9 sec
- 13k files (53 GB): ~13-14 sec
- Total: 32k files (68 GB): ~21 sec
That's ~3.2 GB/s throughput - achievable with:
1. NVMe SSDs (3-7 GB/s sequential read)
2. Linux page cache on subseque…

Jets in Low-Mass Protostars
Somnath Dutta
https://arxiv.org/abs/2510.12475 https://arxiv.org/pdf/2510.12475

Jets in Low-Mass Protostars
Jets and outflows are key components of low-mass star formation, regulating accretion and shaping the surrounding molecular clouds. These flows, traced by molecular species at (sub)millimeter wavelengths (e.g., CO, SiO, SO, H$_2$CO, and CH$_3$OH) and by atomic, ionized, and molecular lines in the infrared (e.g., H$_2$, [Fe II], [S I]), originate from protostellar accretion disks deeply embedded within dusty envelopes. Jets play a crucial role in removing angular momentum from the disk, thereby …

62.6 GHz ScAlN Solidly Mounted Acoustic Resonators
Yinan Wang, Byeongjin Kim, Nishanth Ravi, Kapil Saha, Supratik Dasgupta, Vakhtang Chulukhadze, Eugene Kwon, Lezli Matto, Pietro Simeoni, Omar Barrera, Ian Anderson, Tzu-Hsuan Hsu, Jue Hou, Matteo Rinaldi, Mark S. Goorsky, Ruochen Lu
https://arxiv.org/abs/2510.11994

62.6 GHz ScAlN Solidly Mounted Acoustic Resonators
We demonstrate a record-high 62.6 GHz solidly mounted acoustic resonator (SMR) incorporating a 67.6 nm scandium aluminum nitride (Sc0.3Al0.7N) piezoelectric layer on a 40 nm buried platinum (Pt) bottom electrode, positioned above an acoustic Bragg reflector composed of alternating SiO2 (28.2 nm) and Ta2O5 (24.3 nm) layers in 8.5 pairs. The Bragg reflector and piezoelectric stack above are designed to confine a third-order thickness-extensional (TE) bulk acoustic wave (BAW) mode, while efficient…

Black Hole Ringdown Amplitudescopy
Francesco Crescimbeni, Xisco Jimenez-Forteza, Paolo Pani
https://arxiv.org/abs/2510.11782 https://arxiv.org/pdf/2510.117…

Black Hole Ringdown Amplitudescopy
Black hole ringdowns in extensions of General Relativity (GR) generically exhibit two distinct signatures: (1) theory-dependent shifts in the standard black-hole quasinormal modes, and (2) additional modes arising from extra fundamental fields --such as scalar, vector, or tensor degrees of freedom-- that can also contribute to the gravitational-wave signal. As recently argued, in general both effects are present simultaneously, and accurately modeling them is essential for robust tests of GR in…

Engineering Dominating Patterns: A Fine-grained Case Study
Jonathan Dransfeld, Marvin K\"unnemann, Mirza Redzic, Marcus Wunderlich
https://arxiv.org/abs/2510.12232 https://…

Engineering Dominating Patterns: A Fine-grained Case Study
The \emph{Dominating $H$-Pattern} problem generalizes the classical $k$-Dominating Set problem: for a fixed \emph{pattern} $H$ and a given graph $G$, the goal is to find an induced subgraph $S$ of $G$ such that (1) $S$ is isomorphic to $H$, and (2) $S$ forms a dominating set in $G$. Fine-grained complexity results show that on worst-case inputs, any significant improvement over the naive brute-force algorithm is unlikely, as this would refute the Strong Exponential Time Hypothesis. Nevertheless…

Superradiance and Superabsorption Engine of $N$ Two-Level Systems: $N^{2}$-Power Scaling at Near-Unity Efficiency
L. F. Alves da Silva, H. Sanchez, M. A. Ponte, M. H. Y. Moussa, Norton G. de Almeida
https://arxiv.org/abs/2510.12017

Superradiance and Superabsorption Engine of $N$ Two-Level Systems: $N^{2}$-Power Scaling at Near-Unity Efficiency
We present a thermal engine that exploits the \emph{cooperative superradiance} and \emph{superabsorption} of a sample of \(N\) two-level atoms. This engine operates using a single cold reservoir via cycles of collective pumping followed by decay. Using an effective mean-field Hamiltonian to describe the many-body dynamics, we design optimized drive pulses that preserve adiabaticity and achieve an average power output scaling quadratically with the system size, \(P \propto N^2\). An experimental…

Possible Bose-Einstein condensation of magnons in a S = 5/2 honeycomb lattice
J. Khatua, S. M. Kumawat, G. Senthil Murugan, C. -L. Huang, Heung-Sik Kim, K. Sritharan, R. Sankar, Kwang-Yong Choi
https://arxiv.org/abs/2510.12682

Possible Bose-Einstein condensation of magnons in a S = 5/2 honeycomb lattice
Quantum magnets offer a unique platform for exploring exotic quantum phases and quantum phase transitions through external magnetic fields. A prominent example is the field-induced Bose--Einstein condensation (BEC) of magnons near the saturation field. While this behavior has been observed in low-spin systems, its realization in high-spin, quasi-two-dimensional magnets -- where multiple on-site excitations are possible -- remains exceptionally rare. Here, we report thermodynamic and density fun…

Tycho supernova exploded inside a planetary nebula (SNIP)
Noam Soker (Technion, Israel)
https://arxiv.org/abs/2510.12674 https://arxiv.org/pdf/2510.12674…

Tycho supernova exploded inside a planetary nebula (SNIP)
I examine recent observations of the type Ia supernova remnant (SNR Ia) Tycho and conclude that Tycho is an SN Ia inside a planetary nebula (SNIP). The observations reveal two opposite protrusions, termed ears, projected on the main shell of Tycho. The pair of ear structures resembles that of the SNRs Ia Kepler, SNR G299-2.9, and SNR G1.9+0.3, which earlier studies considered as SNIPs. The requirement that the explosion occurs within hundreds of thousands of years after the formation of the pla…

[2025-10-15 Wed (UTC), 2 new articles found for math.QA Quantum Algebra]
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Asymptotic Syzygies of Weighted Projective Spaces
Boyana Martinova
https://arxiv.org/abs/2510.12708 https://arxiv.org/pdf/2510.12708

Asymptotic Syzygies of Weighted Projective Spaces
By adapting methods of Ein-Erman-Lazarsfeld, we prove an analogue of the Ein-Lazarsfeld result on asymptotic syzygies for Veronese embeddings, in the setting of weighted projective spaces of the form $\mathbb{P}(1^n,2)$.

[2025-12-15 Mon (UTC), 2 new articles found for physics.atom-ph Atomic Physics]
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An elementary derivation of 3-cycles for a quadratic map
Arpad Benyi, Ioan Casu
https://arxiv.org/abs/2510.12558 https://arxiv.org/pdf/2510.12558

An elementary derivation of 3-cycles for a quadratic map
We present an elementary derivation of the period-three cycles for the real quadratic map $x\mapsto x^2+c$, a fundamental model in one-dimensional discrete dynamics. Using symmetric polynomials, we obtain a complete algebraic characterization of 3-cycles and determine explicit conditions for their existence and stability, without reliance on computer algebra. Through conjugacy with the logistic map, we recover the classical threshold values of the logistic parameter corresponding to the emergen…

On the quadratic complexity of subsets of $\mathbb{F}_p^n$ of bounded $\mathrm{VC_{2}}$-dimension
C. Terry, J. Wolf
https://arxiv.org/abs/2510.12767 https://

On the quadratic complexity of subsets of $\mathbb{F}_p^n$ of bounded $\mathrm{VC_{2}}$-dimension
In prior work, we showed that subsets of $\mathbb{F}_{p}^{n}$ of $\mathrm{VC_{2}}$-dimension at most $k$ are well approximated by a union of atoms of a quadratic factor of complexity $(\ell,q)$, where the complexity $\ell$ of the linear part and the complexity $q$ of the quadratic part are both bounded in terms of $k$, $p$, and the desired level of approximation $μ$. A key tool in the proof of this result was an arithmetic regularity lemma for the Gowers $U^3$-norm by Green and Tao, which resu…

[2025-11-14 Fri (UTC), 2 new articles found for cond-mat.dis-nn Disordered Systems and Neural Networks]
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[2025-10-15 Wed (UTC), 2 new articles found for cs.MM Multimedia]
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Stochastic nonlinear wave equation with rougher than white noise
Xue-Mei Li, Xianfeng Ren
https://arxiv.org/abs/2510.12221 https://arxiv.org/pdf/2510.12221…

Stochastic nonlinear wave equation with rougher than white noise
We study the singular stochastic wave equation on $\mathbb T^2$, with a cubic nonlinearity and Gaussian rough Matérn forcing (a Fourier multiplier of order $α>0$ applied to space-time white noise) and establish local well-posedness for $α< \tfrac{3}{8}$. This extends [GKO18] beyond white noise and strengthens the quadratic-case result [OO21] ($α<\tfrac 12$). Our argument develops new trilinear estimates in Bourgain spaces together with sharp, case-specific cubic counting estimates.

Natural transformations between braiding functors in the Fukaya category
Yujin Tong
https://arxiv.org/abs/2511.10462 https://arxiv.org/pdf/2511.10462 https://arxiv.org/html/2511.10462
arXiv:2511.10462v1 Announce Type: new
Abstract: We study the space of $A_\infty$-natural transformations between braiding functors acting on the Fukaya category associated to the Coulomb branch $\mathcal{M}(\bullet,1)$ of the $\mathfrak{sl}_2$ quiver gauge theory. We compute all cohomologically distinct $A_\infty$-natural transformations $\mathrm{Nat}(\mathrm{id}, \mathrm{id})$ and $\mathrm{Nat}(\mathrm{id}, \beta_i^-)$, where $\beta_i^-$ denotes the negative braiding functor. Our computation is carried out in a diagrammatic framework compatible with the established embedding of the KLRW category into this Fukaya category. We then compute the Hochschild cohomology of the Fukaya category using an explicit projective resolution of the diagonal bimodule obtained via the Chouhy-Solotar reduction system, and use this to classify all cohomologically distinct natural transformations. These results determine the higher $A_\infty$-data encoded in the braiding functors and their natural transformations, and provide the first step toward a categorical formulation of braid cobordism actions on Fukaya categories.
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[2025-10-15 Wed (UTC), 2 new articles found for math.OA Operator Algebras]
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[2025-10-15 Wed (UTC), 2 new articles found for math.GN General Topology]
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4D de Sitter from 6D gauged supergravity with Green-Schwarz counterterm
Xu Guo, Yi Pang, Ergin Sezgin
https://arxiv.org/abs/2510.11794 https://arxiv.org/pd…

4D de Sitter from 6D gauged supergravity with Green-Schwarz counterterm
Taking into account the Green-Schwarz anomaly counterterm in R-symmetry gauged $N=(1,0)$ supergravity in six dimensions, and the associated modification in the Maxwell kinetic term and potential, we observe that the theory admits half-supersymmetric Minkowski$_4\times S^2$ and non-supersymmetric dS$_4 \times S^2$ as exact solutions with a monopole on $S^2$. The monopole charge and the anomaly coefficients play key roles in the vacuum structure and it turns out that a diagonal gauging in which a…

Crosslisted article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[2/4]:
- Embedding the Teacher: Distilling vLLM Preferences for Scalable Image Retrieval
Eric He, Akash Gupta, Adian Liusie, Vatsal Raina, Piotr Molenda, Shirom Chabra, Vyas Raina

Using Medical Algorithms for Task-Oriented Dialogue in LLM-Based Medical Interviews
Rui Reis, Pedro Rangel Henriques, Jo\~ao Ferreira-Coimbra, Eva Oliveira, Nuno F. Rodrigues
https://arxiv.org/abs/2510.12490

Using Medical Algorithms for Task-Oriented Dialogue in LLM-Based Medical Interviews
We developed a task-oriented dialogue framework structured as a Directed Acyclic Graph (DAG) of medical questions. The system integrates: (1) a systematic pipeline for transforming medical algorithms and guidelines into a clinical question corpus; (2) a cold-start mechanism based on hierarchical clustering to generate efficient initial questioning without prior patient information; (3) an expand-and-prune mechanism enabling adaptive branching and backtracking based on patient responses; (4) a t…

Crosslisted article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[1/2]:
- Scaling Law in LLM Simulated Personality: More Detailed and Realistic Persona Profile Is All You ...
Yuqi Bai, Tianyu Huang, Kun Sun, Yuting Chen

IP-Augmented Multi-Modal Malicious URL Detection Via Token-Contrastive Representation Enhancement and Multi-Granularity Fusion
Ye Tian, Yanqiu Yu, Liangliang Song, Zhiquan Liu, Yanbin Wang, Jianguo Sun
https://arxiv.org/abs/2510.12395

IP-Augmented Multi-Modal Malicious URL Detection Via Token-Contrastive Representation Enhancement and Multi-Granularity Fusion
Malicious URL detection remains a critical cybersecurity challenge as adversaries increasingly employ sophisticated evasion techniques including obfuscation, character-level perturbations, and adversarial attacks. Although pre-trained language models (PLMs) like BERT have shown potential for URL analysis tasks, three limitations persist in current implementations: (1) inability to effectively model the non-natural hierarchical structure of URLs, (2) insufficient sensitivity to character-level o…

High-Probability Bounds For Heterogeneous Local Differential Privacy
Maryam Aliakbarpour, Alireza Fallah, Swaha Roy, Ria Stevens
https://arxiv.org/abs/2510.11895 https://…

High-Probability Bounds For Heterogeneous Local Differential Privacy
We study statistical estimation under local differential privacy (LDP) when users may hold heterogeneous privacy levels and accuracy must be guaranteed with high probability. Departing from the common in-expectation analyses, and for one-dimensional and multi-dimensional mean estimation problems, we develop finite sample upper bounds in $\ell_2$-norm that hold with probability at least $1-β$. We complement these results with matching minimax lower bounds, establishing the optimality (up to con…

Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations
Sungkyung Kang, JungHwan Park, Masaki Taniguchi
https://arxiv.org/abs/2510.12394 https://…

Exotic diffeomorphisms on a contractible 4-manifold surviving two stabilizations
We develop a $\mathrm{Pin}(2) \times \mathbb{Z}_2$-equivariant refinement of the lattice homotopy type for computing equivariant Seiberg--Witten Floer homotopy types. As an application, we construct a relatively exotic diffeomorphism on a compact contractible 4-manifold that survives two stabilizations.

Matrix generators for Weil representations
Mikko Korhonen
https://arxiv.org/abs/2510.12261 https://arxiv.org/pdf/2510.12261

Matrix generators for Weil representations
Let $r$ be an odd prime and $\mathbb{F}$ a field containing a primitive $r$th root of unity. Then for all $\ell \geq 1$, there is a faithful representation $f: \operatorname{Sp}_{2\ell}(r) \rightarrow \operatorname{GL}_{r^\ell}(\mathbb{F})$ called the Weil representation. We provide explicit matrices generating $\operatorname{Sp}_{2\ell}(r)$ in $\operatorname{GL}_{r^\ell}(\mathbb{F})$, which we have implemented in Magma. We also describe such generators for the irreducible Weil representations …

On the generalized Fermat equation $x^{13} y^{13} = z^n$
Alex J. Best, Sander R. Dahmen, Nuno Freitas
https://arxiv.org/abs/2510.12092 https://arxiv.org/…

On the generalized Fermat equation $x^{13} + y^{13} = z^n$
Let $n \in \mathbb{Z}_{\geq 2}$. We study the generalized Fermat equation \[x^{13}+y^{13}=z^n, \quad x,y,z \in \mathbb{Z}, \quad \gcd(x,y,z)=1.\] Using a combination of techniques, including the modular method, classical descent, unit sieves, and Chabauty and Mordell--Weil sieve methods over number fields, we show that for $n=5$ all its solutions $(a,b,c)$ are trivial, i.e. satisfy $abc=0$. Under the assumption of GRH, we also show that for $n=7$ there are only trivial solutions. Furthermore, w…

Superconductivity in monolayer-trilayer phase of La$_3$Ni$_2$O$_7$ under high pressure
Chaoxin Huang, Jingyuan Li, Xing Huang, Hengyuan Zhang, Deyuan Hu, Mengwu Huo, Xiang Chen, Zhen Chen, Hualei Sun, Meng Wang
https://arxiv.org/abs/2510.12250

Superconductivity in monolayer-trilayer phase of La$_3$Ni$_2$O$_7$ under high pressure
The discovery of 80 K superconductivity in pressurized bilayer Ruddlesden-Popper (RP) nickelate La$_3$Ni$_2$O$_7$ has established a new high-temperature superconductor family. The quest to understand the governing principles of RP nickelate superconductivity has become a central focus in condensed matter physics. Here, we report a critical advance by synthesizing and investigating a distinct structural polymorph of the same compound: the monolayer-trilayer (1313) hybrid phase of La$_3$Ni$_2$O$_…

On ill-posedness for the Gabitov--Turitsyn equation
Matthew Kowalski
https://arxiv.org/abs/2510.11887 https://arxiv.org/pdf/2510.11887

On ill-posedness for the Gabitov--Turitsyn equation
We investigate the well- and ill-posedness theory for the Gabitov--Turitsyn equation, which models the long-time dynamics of pulses in dispersion-managed optical fibers. We identify two critical regularities, corresponding to two scaling pseudo-symmetries, that demarcate regimes of ill-posedness. First, we identify $s_m = \tfrac{d}{2} - \tfrac{2}{p},$ coinciding with the monomial NLS. For $s \geq \max(s_m,0)$, local well-posedness is known to hold in $H^s$, while for $s < s_m$, we show that the…

Association of cold gas, massive galaxies, and AGNs in a filamentary protocluster traced by triple narrow-band imaging
Kazuki Daikuhara, Tadayuki Kodama, Haruka Kusakabe, Charles C. Steidel, Ichi Tanaka, Satoshi Kikuta, Hideki Umehata, Rhythm Shimakawa, Yusei Koyama, Kentaro Motohara, Masahiro Konishi, Jose Manuel Perez Martinez, Mariko Kubo, Dawn Erb, Kosuke Takahashi, Keita Fukushima

Association of cold gas, massive galaxies, and AGNs in a filamentary protocluster traced by triple narrow-band imaging
We investigate galaxy populations in the HS1700+64 protocluster at $z=2.30$, characterized by two prominent linear filaments traced by spatially extended Ly$α$ blobs. We conducted a wide area mapping of emission line galaxies across the protocluster using the unique combination of three matched narrow-band filters, corresponding to Ly$α$, H$α$, and [OIII] emission lines at $z=2.30$. We find that H$α$ emitters are strongly clustered at the intersection of the filaments, suggesting a protoclu…

The MIRI Excesses around Degenerates (MEAD) Survey I: A candidate cold brown dwarf in orbit around the nearby white dwarf 2MASS J09424023-4637176
Lo\"ic Albert (D\'epartement de Physique and Observatoire du Mont-M\'egantic, Universit\'e de Montr\'eal, Trottier Institute for Research on Exoplanets), Sabrina R. Poulsen (Homer L. Dodge Department of Physics and Astronomy, University of Oklahoma), \'Erika Le Bourdais (D\'epartement de physique and Institut Trot…

The MIRI Excesses around Degenerates (MEAD) Survey I: A candidate cold brown dwarf in orbit around the nearby white dwarf 2MASS J09424023-4637176
The MIRI Excesses Around Degenerates Survey is a Cycle 2 James Webb Space Telescope (JWST) Survey program designed to image nearby white dwarfs in the mid-IR with the MIRI imaging mode. Only a handful of white dwarfs have previously been observed beyond 8~\micron. This survey gathered observations for 56 white dwarfs within 25~pc at 10 and 15~\micron, probing each white dwarf for unresolved IR excesses, IR flux deficits indicative of collision induced absorption, or resolved substellar companio…

Dominating Hadwiger's Conjecture holds for all $2K_2$-free graphs
Zi-Xia Song, Thomas Tibbetts
https://arxiv.org/abs/2510.12567 https://arxiv.org/pdf/2…

Dominating Hadwiger's Conjecture holds for all $2K_2$-free graphs
A dominating $K_t$ minor in a graph $G$ is a sequence $(T_1,\dots,T_t)$ of pairwise disjoint non-empty connected subgraphs of $G$, such that for $1 \leq i

Crosslisted article(s) found for eess.SP. https://arxiv.org/list/eess.SP/new
[1/1]:
- Ultrafast Grid Impedance Identification in $dq$-Asymmetric Three-Phase Power Systems
Mohamed Abdalmoaty, Verena H\"aberle, Xiuqiang He, Florian D\"orfler

Demystifying Hybrid Thinking: Can LLMs Truly Switch Between Think and No-Think?
Shouren Wang, Wang Yang, Xianxuan Long, Qifan Wang, Vipin Chaudhary, Xiaotian Han
https://arxiv.org/abs/2510.12680

Demystifying Hybrid Thinking: Can LLMs Truly Switch Between Think and No-Think?
Hybrid thinking enables LLMs to switch between reasoning and direct answering, offering a balance between efficiency and reasoning capability. Yet our experiments reveal that current hybrid thinking LLMs only achieve partial mode separation: reasoning behaviors often leak into the no-think mode. To understand and mitigate this, we analyze the factors influencing controllability and identify four that matter most: (1) larger data scale, (2) using think and no-think answers from different questio…

A Survey of Vibe Coding with Large Language Models
Yuyao Ge, Lingrui Mei, Zenghao Duan, Tianhao Li, Yujia Zheng, Yiwei Wang, Lexin Wang, Jiayu Yao, Tianyu Liu, Yujun Cai, Baolong Bi, Fangda Guo, Jiafeng Guo, Shenghua Liu, Xueqi Cheng
https://arxiv.org/abs/2510.12399

A Survey of Vibe Coding with Large Language Models
The advancement of large language models (LLMs) has catalyzed a paradigm shift from code generation assistance to autonomous coding agents, enabling a novel development methodology termed "Vibe Coding" where developers validate AI-generated implementations through outcome observation rather than line-by-line code comprehension. Despite its transformative potential, the effectiveness of this emergent paradigm remains under-explored, with empirical evidence revealing unexpected productivity losse…

An improved perturbative QCD study of the decays $B_c^ \to \eta_c L^ $
Wen-Jing Zhang, Xin Liu
https://arxiv.org/abs/2510.12216 https://arxiv.org/pdf/2510…

An improved perturbative QCD study of the decays $B_c^+ \to η_c L^+$
We perform an improved perturbative QCD study of the decays $B_c^+ \to η_c L^+$ ($L$ denotes the light ground state pseudoscalar, vector mesons and the corresponding $p$-wave scalar, axial-vector, and tensor ones) and predict their branching ratios (BRs) associated with relative ratios at leading order in the strong coupling $α_s$. Our results ${\rm BR}(B_c^+ \to η_c π^+) =(2.03^{+0.53}_{-0.41}) \times 10^{-3}$ and ${\rm BR}(B_c^+ \to η_c π^+)/{\rm BR}(B_c^+ \to J/ψπ^+) = 1.74^{+0.66}_{…

Quantum Spin Singlet and Classical N\'eel-Ordered Ground States in MoX3 (X = I, Br) Spin-3/2 Dimerized Antiferromagnetic Chain Crystals
Jordan Teeter, Topojit Debnath, Harshil Goyal, Md Sabbir Hossen Bijoy, Maedeh Taheri, Nicholas Sesing, Fariborz Kargar, Kirill Shtengel, Tina Salguero, Roger K. Lake, Alexander A. Balandin
https://arxi…

Quantum Spin Singlet and Classical Néel-Ordered Ground States in MoX3 (X = I, Br) Spin-3/2 Dimerized Antiferromagnetic Chain Crystals
We report that MoX3 (X = I, Br) are rare van der Waals materials that exhibit signatures of both quantum spin chains with a spin singlet ground state and classical Neel order. Bulk single crystals grown by chemical vapor transport exhibit classical antiferromagnetic ground states with a transition temperature of ~40 K as revealed by susceptibility and specific heat measurements. Above 40 K, the susceptibilities show the large, broad peaks associated with a quantum spin-singlet ground state and …

Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons
Minsung Kho, Norton Lee, Rak-Kyeong Seong
https://arxiv.org/abs/2510.12290 https://

Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons
Brane tilings are bipartite periodic graphs on the 2-torus and realize a large family of 4d N=1 supersymmetric gauge theories corresponding to toric Calabi-Yau 3-folds. We present a complete classification of dimer integrable systems corresponding to the 30 brane tilings whose toric Calabi-Yau 3-folds are given by the 16 reflexive polygons in 2 dimensions. For each dimer integrable system associated to a reflexive polygon, we present the Casimirs, the single Hamiltonian built from 1-loops, the …

Crosslisted article(s) found for math.QA. https://arxiv.org/list/math.QA/new
[1/1]:
- Koszul dual $\mathcal{A}_{\infty}$-algebras from star-shaped diagrams -- part 2
Isabella Khan

Near the Runaway: The Climate and Habitability of Teegarden's Star b
Ryan Boukrouche, Rodrigo Caballero, Neil Lewis
https://arxiv.org/abs/2510.11940 https://

Near the Runaway: The Climate and Habitability of Teegarden's Star b
Teegarden's Star b, a nearby terrestrial world receiving an Earth-like instellation, is a prime candidate for next-generation observatories targeting temperate exoplanets in their habitable zones. We employ a suite of three-dimensional global climate model (GCM) simulations to (1) map the inner boundary of the habitable zone of Teegarden's Star b and (2) characterize its surface climate under the assumption of an Earth-analog atmosphere. Our simulations show that, with its most recently estimat…

Excluding Hypothetical Light Boson Interpretation of Yb King Plot Nonlinearity with the ${}^1S_0 \leftrightarrow {}^3P_2$ Isotope Shift Measurement
Taiki Ishiyama, Koki Ono, Reiji Asano, Hokuto Kawase, Tetsushi Takano, Ayaki Sunaga, Yasuhiro Yamamoto, Minoru Tanaka, Yoshiro Takahashi
https://arxiv.org/abs/2601.08487

Two-Dimensional Altermagnetic Iron Oxyhalides: Real Chern topology and Valley-Spin-Lattice coupling
Yong-Kun Wang, Si Li, Shengyuan A. Yang
https://arxiv.org/abs/2510.12748 http…

Two-Dimensional Altermagnetic Iron Oxyhalides: Real Chern topology and Valley-Spin-Lattice coupling
Altermagnets, a novel class of collinear magnetic materials, exhibit unique spin-split band structures, yet topological insulating states in intrinsic altermagnetic systems are rare. Here, we identify monolayer Fe$_2X_2$O ($X$ = Cl, Br, I) as a new family of 2D altermagnetic real Chern insulators. These materials display robust $d$-wave altermagnetic ordering, semiconducting band gaps, and nontrivial real Chern numbers per spin channel, yielding spin-polarized topological corner modes. They als…

Quantum Network-Based Prediction of Cancer Driver Genes
Patricia Marques, Andreas Wichert, Duarte Magano, Bruno Coutinho
https://arxiv.org/abs/2510.12628 https://

Quantum Network-Based Prediction of Cancer Driver Genes
Identification of cancer driver genes is fundamental for the development of targeted therapeutic interventions. The integration of mutational profiles with protein-protein interaction (PPI) networks offers a promising avenue for their detection [ 1, 2], but scaling to large network datasets is computationally demanding. Quantum computing offers compact representations and potential complexity reductions. Motivated by the classical method of Gumpinger et al. [3], in this work we introduce a supe…

Feynman Formula for Discrete-time Quantum Walks
Jean-Pierre Fouque, Tomoyuki Ichiba, Ka Lok Lam
https://arxiv.org/abs/2510.12038 https://arxiv.org/pdf/2510…

Feynman Formula for Discrete-time Quantum Walks
We explicitly connect (discrete-time) quantum walks on Z with a four-state Markov additive process via a Feynman-type formula (2.5). Using this representation, we derive a relation between the spectral decomposition of the Markov additive process and the limiting density of the homogeneous quantum walk. In addition, we consider a space-time rescaling of quantum walks, which leads to a system of quantum transport PDEs in continuous time and space with a phase interaction term. Our probabilistic …

Halpern Acceleration of the Inexact Proximal Point Method of Rockafellar
Liwei Zhang, Fanli Zhuang, Ning Zhang
https://arxiv.org/abs/2511.10372 https://arxiv.org/pdf/2511.10372 https://arxiv.org/html/2511.10372
arXiv:2511.10372v1 Announce Type: new
Abstract: This paper investigates a Halpern acceleration of the inexact proximal point method for solving maximal monotone inclusion problems in Hilbert spaces. The proposed Halpern inexact proximal point method (HiPPM) is shown to be globally convergent, and a unified framework is developed to analyze its worst-case convergence rate. Under mild summability conditions on the inexactness tolerances, HiPPM achieves an $\mathcal{O}(1/k^{2})$ rate in terms of the squared fixed-point residual. Furthermore, under additional mild condition, the method retains a fast linear convergence rate. Building upon this framework, we further extend the acceleration technique to constrained convex optimization through the augmented Lagrangian formulation. In analogy to Rockafellar's classical results, the resulting accelerated inexact augmented Lagrangian method inherits the convergence rate and complexity guarantees of HiPPM. The analysis thus provides a unified theoretical foundation for accelerated inexact proximal algorithms and their augmented Lagrangian extensions.
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An Effective Method for Solving a Class of Transcendental Diophantine Equations
Zeyu Cai
https://arxiv.org/abs/2510.11753 https://arxiv.org/pdf/2510.11753

An Effective Method for Solving a Class of Transcendental Diophantine Equations
This paper investigates the exponential Diophantine equation of the form $a^x+b=c^y$, where $a, b, c$ are given positive integers with $a,c \ge 2$, and $x,y$ are positive integer unknowns. We define this form as a "Type-I transcendental diophantine equation." A general solution to this problem remains an open question; however, the ABC conjecture implies that the number of solutions for any such equation is finite. This work introduces and implements an effective algorithm designed to solve the…

Dominating Hadwiger's Conjecture for graphs $G$ with $\alpha(G)=2$
Michael Scully, Zi-Xia Song
https://arxiv.org/abs/2510.12564 https://arxiv.org/pdf/2…

Dominating Hadwiger's Conjecture for graphs $G$ with $α(G)=2$
Hadwiger's Conjecture from 1943 states that every graph with chromatic number $t$ contains a $K_t$ minor. Illingworth and Wood [arXiv:2405.14299] introduced the concept of a ``dominating $K_t$ minor'' and asked whether every graph with chromatic number $t$ contains a dominating $K_t$ minor. This question is a substantial strengthening of Hadwiger's Conjecture. Norin referred to it as the ``Dominating Hadwiger's Conjecture'' and believes it is likely false. In this paper we first observe that a …

MatSciBench: Benchmarking the Reasoning Ability of Large Language Models in Materials Science
Junkai Zhang, Jingru Gan, Xiaoxuan Wang, Zian Jia, Changquan Gu, Jianpeng Chen, Yanqiao Zhu, Mingyu Derek Ma, Dawei Zhou, Ling Li, Wei Wang
https://arxiv.org/abs/2510.12171

MatSciBench: Benchmarking the Reasoning Ability of Large Language Models in Materials Science
Large Language Models (LLMs) have demonstrated remarkable abilities in scientific reasoning, yet their reasoning capabilities in materials science remain underexplored. To fill this gap, we introduce MatSciBench, a comprehensive college-level benchmark comprising 1,340 problems that span the essential subdisciplines of materials science. MatSciBench features a structured and fine-grained taxonomy that categorizes materials science questions into 6 primary fields and 31 sub-fields, and includes …

Replaced article(s) found for stat.ML. https://arxiv.org/list/stat.ML/new
[2/2]:
- Differentiable, Bit-shifting, and Scalable Quantization without training neural network from scratch
Zia Badar

Lower bounds for faithful linear representations of subgroups of the mapping class group
Thiago Brevidelli
https://arxiv.org/abs/2510.12591 https://arxiv.o…

Lower bounds for faithful linear representations of subgroups of the mapping class group
Recently, Korkmaz established the lower bound of $3g - 2$ for the dimension of a faithful representation of the mapping class group of an orientable surface of genus $g \ge 3$. We raise this bound to $4g - 3$ in the setting of surfaces of genus $g \ge 7$. A new ingredient is a finer study of the commutation relations in $\operatorname{PMod}(Σ)$. We use the relations arising from a certain pants decomposition of $Σ_g$ to show that any representation of dimension $\le 4g - 4$ is forced to kill …

A constant upper luminosity limit of cool supergiant stars down to the extremely low metallicity of I Zw 18
Abel Schootemeijer, Ylva G\"otberg, Norbert Langer, Giacomo Bortolini, Alec S. Hirschauer, Lee Patrick
https://arxiv.org/abs/2510.12594

A constant upper luminosity limit of cool supergiant stars down to the extremely low metallicity of I Zw 18
Stellar wind mass loss is often assumed to depend on their metallicity $Z$. Therefore, evolutionary models of massive stars at lower $Z$ are able to retain more of their H-rich layers and evolve into brighter cool supergiants (cool SGs; $T_\mathrm{eff} < 7$ kK). Surprisingly, in galaxies in the range $0.2 \lesssim Z / Z_\odot \lesssim 1.5$ previous studies did not find a $Z$-dependence of the upper luminosity limit $L_\mathrm{max}$ of cool SGs. Here, we study four extra galaxies with HST and JW…

Harnack inequality for Bessel operators
Giorgio Metafune, Luigi Negro, Chiara Spina
https://arxiv.org/abs/2510.12529 https://arxiv.org/pdf/2510.12529

Harnack inequality for Bessel operators
We prove uniqueness results and Harnack inequality for Bessel operators \begin{align*} %\label{def L transf alpha} D_t-Δ_{x} -2a\cdot\nabla_xD_y- D_{yy}- \frac cy D_y % \nonumber \\[1ex]&=y^α\sum_{i,j=1}^{N+1}a_{ij}D_{ij}+y^{α-1}\left(v,\nabla\right)-by^{α-2}. \end{align*} in the strip $[0,T]\times \mathbb{R}^{N+1}_+=\{0 \leq t \leq T, x \in \mathbb{R}^N, y>0\}$ under Neumann boundary conditions at $y=0$.

Expansion of trivariate polynomials using proximity
Orit E. Raz
https://arxiv.org/abs/2510.12191 https://arxiv.org/pdf/2510.12191

Expansion of trivariate polynomials using proximity
We extend the proximity technique of Solymosi and Zahl [J. Combin. Theory, Ser. A (2024)] to the setting of trivariate polynomials. In particular, we prove the following result: Let $f(x,y,z)=(x-y)^2+(φ(x)-z)^2$, where $φ(x)\in \mathbb{R}[x]$ has degree at least 3. Then, for every finite $A,B,C\subset \mathbb{R}$ each of size $n$, one has $|f(A,B,C)|=Ω(n^{5/3-\varepsilon})$, for every $\varepsilon>0$, where the constant of proportionality depends on $\varepsilon$ and on ${\rm deg}(…

Replaced article(s) found for math.NT. https://arxiv.org/list/math.NT/new
[1/1]:
- $\mathbb{Z}$-Bases and $\mathbb{Z}[1/2]$-bases for Washington's cyclotomic units of real cyclotom...
Rafik Souanef (UFC)

Escape-Induced Temporally Correlated Noise Driven Universality Crossover
Mrinal Manna, Sourav Mukherjee, Soumen Giri, Pramod Bhakuni, Sajal Barman, Arnab Kumar Pariari, Anil Gome, Markus Hucker, V. Raghavendra Reddy, Anupam Roy, Sudipta Roy Barman, Smarajit Karmakar, Chandana Mondal, Rajib Batabyal
https://arxiv.org/abs/2510.12593

Escape-Induced Temporally Correlated Noise Driven Universality Crossover
Universal behavior in far-from-equilibrium systems is driven by interactions between transport processes and noise structure. The Kardar-Parisi-Zhang (KPZ) framework predicts that extensions incorporating conserved currents or temporally correlated noise give rise to distinct growth morphologies and universality classes, yet direct experimental realization has remained elusive. Here, we report atomically resolved Sn thin-film growth on Sb-doped MnBi$_2$Te$_4$, revealing a sharp dynamical crosso…

Cyclic and alternating $U$-statistics
Svante Janson
https://arxiv.org/abs/2510.12480 https://arxiv.org/pdf/2510.12480…

Cyclic and alternating $U$-statistics
We define cyclic $U$-statistics as a variant of $U$-statistics based on variables $X_1,\dots,X_n$ that are assumed to be cyclically ordered. We also define alternating $U$-statistics where in the definition terms are summed with alternating sings (in three different ways). Only $U$-statistics of order 2 are considered. The definitions are inspired by special cases studied by Chebikin (2008) and Even-Zohar (2017) for random permutations. We show limit theorems similar to well-known results for…

Is Milky Way stable all the way ? A TNG50 view from cosmic noon to the present day
K. Aditya, Sandeep Kataria
https://arxiv.org/abs/2510.12263 https://arxi…

Is Milky Way stable all the way ? A TNG50 view from cosmic noon to the present day
We investigate the stability of Milky Way analogs (MWAs) in the \texttt{TNG50} simulation against the growth of local axisymmetric instabilities, tracing their evolution from cosmic noon ($z=2.5$) to the present day ($z=0$). Using a two-component stability criterion that accounts for stars, gas, and the force field of the dark matter halo, we compute the net stability parameter ($Q_{T}$), the critical gas surface density ($Σ_{c}$), and the instability timescale ($τ$) for 10 barred and 10 unba…

Locally Linear Convergence for Nonsmooth Convex Optimization via Coupled Smoothing and Momentum
Reza Rahimi Baghbadorani, Sergio Grammatico, Peyman Mohajerin Esfahani
https://arxiv.org/abs/2511.10239 https://arxiv.org/pdf/2511.10239 https://arxiv.org/html/2511.10239
arXiv:2511.10239v1 Announce Type: new
Abstract: We propose an adaptive accelerated smoothing technique for a nonsmooth convex optimization problem where the smoothing update rule is coupled with the momentum parameter. We also extend the setting to the case where the objective function is the sum of two nonsmooth functions. With regard to convergence rate, we provide the global (optimal) sublinear convergence guarantees of O(1/k), which is known to be provably optimal for the studied class of functions, along with a local linear rate if the nonsmooth term fulfills a so-call locally strong convexity condition. We validate the performance of our algorithm on several problem classes, including regression with the l1-norm (the Lasso problem), sparse semidefinite programming (the MaxCut problem), Nuclear norm minimization with application in model free fault diagnosis, and l_1-regularized model predictive control to showcase the benefits of the coupling. An interesting observation is that although our global convergence result guarantees O(1/k) convergence, we consistently observe a practical transient convergence rate of O(1/k^2), followed by asymptotic linear convergence as anticipated by the theoretical result. This two-phase behavior can also be explained in view of the proposed smoothing rule.
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On Geometric Structures in the Einstein Universe for $\mathrm{SO}_0(p,p 1)$-Hitchin Representations
Colin Davalo, Parker Evans
https://arxiv.org/abs/2510.12779 https://

On Geometric Structures in the Einstein Universe for $\mathrm{SO}_0(p,p+1)$-Hitchin Representations
Let $S$ be a closed surface of genus $g \geq 2$. We determine the topology of the fibers of the domain of discontinuity in $\mathrm{Ein}^{p-1,p}$ defined by Guichard-Wienhard and Kapovich-Leeb-Porti for $\mathrm{SO}_0(p,p+1)$-Hitchin representations for $p \geq 3$.

On Diophantine equations involving intersection of Thabit and Williams numbers base $b$ and some ternary recurrent sequences
Bibhu Prasad Tripathy, Asutosh Satapathy, Utkal Keshari Dutta, Bijan Kumar Patel
https://arxiv.org/abs/2510.12145

On Diophantine equations involving intersection of Thabit and Williams numbers base $b$ and some ternary recurrent sequences
Let $\mathcal{P}_{n}$ be the $n$-th Padovan number, $E_{n}$ be the $n$-th Perrin number and $N_{n}$ be the $n$-th Narayana's cows number. Let $b$ be a positive integer such that $b \geq 2$. In this paper, we study the Diophantine equations \[ \mathcal{P}_{n} = (b \pm 1)\cdot b^{l} \pm 1, \] \[ E_{n} = (b \pm 1)\cdot b^{l} \pm 1, \] and \[ N_{n} = (b \pm 1)\cdot b^{l} \pm 1, \] in non-negative integers $n, b$ and positive integer $l$. As a result, we determine the Padovan, Perrin…

Isoperimetric Bounds for Weighted Steklov Eigenvalues with Radial Weights
Friedemann Brock, Francesco Chiacchio
https://arxiv.org/abs/2510.12631 https://ar…

Isoperimetric Bounds for Weighted Steklov Eigenvalues with Radial Weights
We study the following class of Steklov eigenvalue problems: \[ \nabla \cdot \bigl( w \nabla u \bigr) = 0 \quad \text{in } Ω, \qquad \frac{\partial u}{\partial ν} = γv u \quad \text{on } \partial Ω, \] where $w$ and $v$ are prescribed positive radial functions, $Ω$ is a Lipschitz domain in $\mathbb{R}^N$ with $N \geq 2$ and $ν$ denotes its outward unit normal. Extending classical results in the unweighted case due to Weinstock, the first author, and others, we establish isoperimetric ineq…

Replaced article(s) found for stat.ML. https://arxiv.org/list/stat.ML/new
[1/2]:
- Dataset-Free Weight-Initialization on Restricted Boltzmann Machine
Muneki Yasuda, Ryosuke Maeno, Chako Takahashi

Maximum displacement of critical centered branching random walks under minimal assumptions
Thomas Leh\'ericy (Universit\"at Z\"urich)
https://arxiv.org/abs/2510.12034

Maximum displacement of critical centered branching random walks under minimal assumptions
We study the critical centered branching random walk with offspring and displacement distributions having finite variance, under minimal assumptions on its structure. We show that the probability that the position of the right-most particle is larger than $r$ decays like an explicit constant times $r^{-2}$; this generalizes an earlier result by Lalley and Shao. In addition, we obtain the convergence in distribution of the progeny of the branching random walk conditioned on the position of the r…

The Blue Jay Survey: Deep JWST Spectroscopy for a Representative Sample of Galaxies at Cosmic Noon
Sirio Belli, Letizia Bugiani, Minjung Park, J. Trevor Mendel, Rebecca L. Davies, Amir H. Khoram, Benjamin D. Johnson, Joel Leja, Sandro Tacchella, Vanessa Brown, Charlie Conroy, Razieh Emami, Yijia Li, Caterina Liboni, Gabriel Maheson, Elijah P. Mathews, Rohan P. Naidu, Erica J. Nelson, Bryan A. Terrazas, Rainer Weinberger

The Blue Jay Survey: Deep JWST Spectroscopy for a Representative Sample of Galaxies at Cosmic Noon
We present the Blue Jay survey, a Cycle-1 JWST program aimed at studying the stellar and gas content of galaxies at Cosmic Noon. The survey consists of deep spectroscopy for 153 targets observed over two pointings in the COSMOS field using the NIRSpec micro-shutter assembly (MSA). We employ the three medium-resolution gratings G140M, G235M, and G395M, with exposure times of 13 hours, 3.2 hours, and 1.6 hours, respectively. We thus obtain full coverage of the 1-5 micron range, corresponding to t…

S-D-RSM: Stochastic Distributed Regularized Splitting Method for Large-Scale Convex Optimization Problems
Maoran Wang, Xingju Cai, Yongxin Chen
https://arxiv.org/abs/2511.10133 https://arxiv.org/pdf/2511.10133 https://arxiv.org/html/2511.10133
arXiv:2511.10133v1 Announce Type: new
Abstract: This paper investigates the problems large-scale distributed composite convex optimization, with motivations from a broad range of applications, including multi-agent systems, federated learning, smart grids, wireless sensor networks, compressed sensing, and so on. Stochastic gradient descent (SGD) and its variants are commonly employed to solve such problems. However, existing algorithms often rely on vanishing step sizes, strong convexity assumptions, or entail substantial computational overhead to ensure convergence or obtain favorable complexity. To bridge the gap between theory and practice, we integrate consensus optimization and operator splitting techniques (see Problem Reformulation) to develop a novel stochastic splitting algorithm, termed the \emph{stochastic distributed regularized splitting method} (S-D-RSM). In practice, S-D-RSM performs parallel updates of proximal mappings and gradient information for only a randomly selected subset of agents at each iteration. By introducing regularization terms, it effectively mitigates consensus discrepancies among distributed nodes. In contrast to conventional stochastic methods, our theoretical analysis establishes that S-D-RSM achieves global convergence without requiring diminishing step sizes or strong convexity assumptions. Furthermore, it achieves an iteration complexity of $\mathcal{O}(1/\epsilon)$ with respect to both the objective function value and the consensus error. Numerical experiments show that S-D-RSM achieves up to 2--3$\times$ speedup compared to state-of-the-art baselines, while maintaining comparable or better accuracy. These results not only validate the algorithm's theoretical guarantees but also demonstrate its effectiveness in practical tasks such as compressed sensing and empirical risk minimization.
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Crosslisted article(s) found for math.GT. https://arxiv.org/list/math.GT/new
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- Geometric Structures for $G_2'$-Surface Group Representations
Colin Davalo, Parker Evans

On irreducibility of certain low dimensional automorphic Galois representations
Boyi Dai
https://arxiv.org/abs/2510.12496 https://arxiv.org/pdf/2510.12496

On irreducibility of certain low dimensional automorphic Galois representations
We study irreducibility of Galois representations $ρ_{π,λ}$ associated to a $n=7$ or 8-dimensional regular algebraic essentially self-dual cuspidal automorphic representation $π$ of $\text{GL}_n(\mathbb{A}_\mathbb{Q})$. We show $ρ_{π,λ}$ is irreducible for all but finitely many $λ$ under the following extra conditions. (i) If $n=7$, and there exists no $λ$ such that the Lie type of $ρ_{π,λ}$ is the standard representation of exceptional group $\textbf{G}_2$. (ii) If $n=8$, and when …

Nonlinear instability for the 3D MHD equations around the Taylor-Couette flow
V\'ictor Navarro-Fern\'andez, David Villringer
https://arxiv.org/abs/2510.12707 https://

Nonlinear instability for the 3D MHD equations around the Taylor-Couette flow
We study the 3D magnetohydrodynamics (MHD) equations in an annular cylinder, perturbed around the explicit steady state given by the 3D Taylor-Couette velocity field and zero magnetic field. Combining a recent linear instability result for the magnetic field with the framework of Friedlander, Pavlović and Shvydkoy [Comm. Math. Phys. 264 (2006), no. 2, 335-347], we prove nonlinear instability of the solution around this steady state in $L^p$, for any $p>1$. In particular, our results are, to th…

Deep JWST spectroscopy of galaxies in a candidate ionized bubble at $z = 8.7$: probing reionization at pMpc scales with Ly$\alpha$ emission
Lily Whitler, Daniel P. Stark, Charlotte A. Mason, Mengtao Tang, Zuyi Chen, Ting-Yi Lu, Gonzalo Prieto-Lyon, Anne Hutter
https://arxiv.org/abs/2510.12019

Deep JWST spectroscopy of galaxies in a candidate ionized bubble at $z = 8.7$: probing reionization at pMpc scales with Ly$α$ emission
Strong Ly$α$ emission observed from galaxies when the Universe is expected to be highly neutral is thought to trace large ionized regions that facilitate the transmission of Ly$α$ through the IGM. In this work, we use deep JWST Ly$α$ spectroscopy to constrain the size of a candidate ionized bubble at $z\sim8.7$ in the EGS field, with a potential radius of $R_b=2$ physical Mpc (pMpc) or larger. We measure a photometric galaxy density and find that the volume is a factor of $\sim2.5-3.6$ overd…

Elliptic Harnack inequalities for mixed local and nonlocal $p$-energy form on metric measure spaces
Aobo Chen, Zhenyu Yu
https://arxiv.org/abs/2510.12404 https://

Elliptic Harnack inequalities for mixed local and nonlocal $p$-energy form on metric measure spaces
We derive the weak elliptic Harnack inequality and the elliptic Harnack inequality for mixed local and nonlocal $p$-energy form on metric measure spaces. The proof relies on the Poincaré inequality, the cutoff Sobolev inequality, and some mild conditions on the jump measure. Our approach is based on the De Giorgi-Nash-Moser method, extending the corresponding result for Dirichlet forms without a killing part (the case $p=2$).

Extremely UV-bright starbursts at the end of cosmic reionization
R. Marques-Chaves, D. Schaerer, M. Dessauges-Zavadsky, J. \'Alvarez-M\'arquez, T. Hashimoto, L. Colina, A. K. Inoue, C. Blanco-Prieto, Y. Nakazato, L. Costantin, S. Arribas, T. J. L. C. Bakx, D. Ceverino, A. Crespo G\'omez, Y. Fudamoto, M. Hagimoto, A. Hamada, Y. Matsuoka, K. Mawatari, M. Onoue, W. Osone, Y. W. Ren, Y. Sugahara, Y. Terui, N. Yoshida

Extremely UV-bright starbursts at the end of cosmic reionization
We present a study of 27 very UV-bright (-22.0

Log-free estimate of the full nonlinearity in the three-dimensional Navier-Stokes equations outside the diagonal regime
Pylyp Cherevan
https://arxiv.org/abs/2510.11729 https://

Log-free estimate of the full nonlinearity in the three-dimensional Navier-Stokes equations outside the diagonal regime
We investigate the contribution of the full nonlinearity outside the narrow diagonal zone in the three-dimensional Navier-Stokes equations. We consider the off-diagonal components, including lh, hl, as well as part of the resonant block hh -> l for |xi + eta| >= N^(1-delta). The proof relies on three main elements: (i) six-fold integration by parts in the phase Phi(t,x,xi,eta) = x*(xi + eta) + 4trho1rho2 with respect to (t,rho1,rho2); on the window |t| <= N^(-1/2) the phase …