Tootfinder

Treedepth and 2-treedepth in graphs with no long induced paths
J\k{e}drzej Hodor, Freddie Illingworth, Tomasz Mazur
https://arxiv.org/abs/2508.04445 https://

Treedepth and 2-treedepth in graphs with no long induced paths
Huynh, Joret, Micek, Seweryn, and Wollan (Combinatorica, 2022) introduced a graph parameter, later referred to as 2-treedepth and denoted $\mathrm{td}_2(\cdot)$. The parameter is the natural 2-connected version of treedepth. For every graph, 2-treedepth is at most the treedepth but can be much smaller: long paths have arbitrary treedepth but 2-treedepth equal to 2. We prove a converse, showing that every graph $G$ with no induced path on $t$ vertices has treedepth less than $2 \cdot t^{\mathrm{…

On the modular cohomology of $GL_2(\mathbb{Z}/p^n)$ and $SL_2(\mathbb{Z}/p^n)$
Anja Meyer
https://arxiv.org/abs/2506.04720 https://ar…

On the modular cohomology of $GL_2(\mathbb{Z}/p^n)$ and $SL_2(\mathbb{Z}/p^n)$
Let $p$ be an odd prime. Denote a Sylow $p$-subgroup of $GL_2(\mathbb{Z}/p^n)$ and $SL_2(\mathbb{Z}/p^n)$ by $S_p(n,GL)$ and $S_p(n,SL)$ respectively. The theory of stable elements tells us that the mod-$p$ cohomology of a finite group is given by the stable elements of the mod-$p$ cohomology of it's Sylow $p$-subgroup. We prove that for suitable group extensions of $S_p(n,GL)$ and $S_p(n,SL)$ the $E_2$-page of the Lyndon-Hochschild-Serre spectral sequence associated to these extensions does no…

Numbers with Four Close Factorizations
Tsz Ho Chan, Laura Holmes, Michael Liu, Jose Villarreal
https://arxiv.org/abs/2508.02818 https://arxiv.org/pdf/2508.…

Numbers with Four Close Factorizations
In this paper, we study numbers $n$ that can be factored in four different ways as $n = A B = (A + a_1) (B - b_1) = (A + a_2) (B - b_2) = (A + a_3) (B - b_3)$ with $B \le A$, $1 \le a_1 < a_2 < a_3 \le C$ and $1 \le b_1 < b_2 < b_3 \le C$. We obtain the optimal upper bound $A \le 0.04742 \ldots \cdot C^3 + O(C)$. The key idea is to transform the original question into generalized Pell equations $a x^2 - b y^2 = c$ and study their solutions.

This https://arxiv.org/abs/2505.21611 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Disturbing news about the $d=2+ε$ expansion
The $O(N)$ Non-Linear Sigma Model (NLSM) in $d=2+ε$ has long been conjectured to describe the same conformal field theory (CFT) as the Wilson-Fisher (WF) $O(N)$ fixed point obtained from the $λ(ϕ^2)^2$ model in $d=4-ε$. In this work, we put this conjecture into question, building on the recent observation [Jones (2024)] that the NLSM CFT possesses a protected operator with dimension $N-1$, which is instead absent in the WF $O(N)$ CFT. For $N=3$, we investigate the possibility of lifting thi…

Finite 2-group gauge theory and its 3 1D lattice realization
Mo Huang
https://arxiv.org/abs/2508.04693 https://arxiv.org/pdf/2508.04693

Finite 2-group gauge theory and its 3+1D lattice realization
In this work, we employ the Tannaka-Krein reconstruction to compute the quantum double $\mathcal D(\mathcal G)$ of a finite 2-group $\mathcal G$ as a Hopf monoidal category. We also construct a 3+1D lattice model from the Dijkgraaf-Witten TQFT functor for the 2-group $\mathcal G$, generalizing Kitaev's 2+1D quantum double model. Notably, the string-like local operators in this lattice model are shown to form $\mathcal D(\mathcal G)$. Specializing to $\mathcal G = \mathbb{Z}_2$, we demonstrate t…

CloudBreaker: Breaking the Cloud Covers of Sentinel-2 Images using Multi-Stage Trained Conditional Flow Matching on Sentinel-1
Saleh Sakib Ahmed, Sara Nowreen, M. Sohel Rahman
https://arxiv.org/abs/2508.03608

CloudBreaker: Breaking the Cloud Covers of Sentinel-2 Images using Multi-Stage Trained Conditional Flow Matching on Sentinel-1
Cloud cover and nighttime conditions remain significant limitations in satellite-based remote sensing, often restricting the availability and usability of multi-spectral imagery. In contrast, Sentinel-1 radar images are unaffected by cloud cover and can provide consistent data regardless of weather or lighting conditions. To address the challenges of limited satellite imagery, we propose CloudBreaker, a novel framework that generates high-quality multi-spectral Sentinel-2 signals from Sentinel-…

This https://arxiv.org/abs/1804.08452 has been replaced.
link: https://scholar.google.com/scholar?q=a

Two closed geodesics on compact bumpy Finsler manifolds
In this paper, we prove there are at least two closed geodesics on any compact bumpy Finsler $n$-manifold with finite fundamental group and $n\ge 2$. Thus generically there are at least two closed geodesics on compact Finsler manifolds with finite fundamental group. Furthermore, there are at least two closed geodesics on any compact Finsler $2$-manifold, and this lower bound is achieved by the Katok 2-sphere $(S^2, F)$ and 2-real projective space $(S^2/\Z_2, F)$, cf. \cite{Kat}.

Computing $H$-equations with 2-by-2 integral matrices
Gemma Bastardas, Enric Ventura
https://arxiv.org/abs/2506.05272 https://arxiv.o…

Computing $H$-equations with 2-by-2 integral matrices
We study the transference through finite index extensions of the notion of equational coherence, as well as its effective counterpart. We deduce an explicit algorithm for solving the following algorithmic problem about size two integral invertible matrices: ''given $h_1,\ldots, h_r; g\in \operatorname{PSL}_2(\mathbb{Z})$, decide whether $g$ is algebraic over the subgroup $H=\langle h_1,\ldots ,h_r\rangle \leqslant \operatorname{PSL}_2(\mathbb{Z})$ (i.e., whether there exist a non-trivial $H$-eq…

Instanton 2-torsion and Dehn surgeries
Zhenkun Li, Fan Ye
https://arxiv.org/abs/2508.03394 https://arxiv.org/pdf/2508.03394

Instanton 2-torsion and Dehn surgeries
In our earlier work on $2$-torsion in instanton Floer homology, we considered only integral surgeries on a knot $K\subset S^3$ and showed that the absence of $2$-torsion forces $K$ to be fibered. The present paper extends the result to all rational surgeries. We prove that if the framed instanton homology $I^{\sharp}(S^3_r(K);\mathbb{Z})$ is $2$-torsion-free for some $r\in \mathbb{Q}_+$, then $K$ is an instanton L-space knot and $r>2g(K)-1$. Leveraging this $2$-torsion perspective, we also obta…

Existence and multiplicity of normalized solutions for the generalized Kadomtsev-Petviashvili equation in $\mathbb{R}^2$
Claudianor O. Alves, Rui Ding, Chao Ji
https://arxiv.org/abs/2506.04967

Existence and multiplicity of normalized solutions for the generalized Kadomtsev-Petviashvili equation in $\mathbb{R}^2$
In this paper, we study the existence and {multiplicity} of nontrivial solitary waves for the generalized Kadomtsev-Petviashvili equation with prescribed {$L^2$-norm} \begin{equation*}\label{Equation1} \left\{\begin{array}{l} \left(-u_{x x}+D_x^{-2} u_{y y}+λu-f(u)\right)_x=0,{\quad x \in \mathbb{R}^2, } \\[10pt] \displaystyle \int_{\mathbb{R}^2}u^2 d x=a^2, \end{array}\right.%\tag{$\mathscr E_λ$} \end{equation*} where $a>0$ and $λ\in \mathbb{R}$ is an unknown parameter that appears …

H$_2$O and CO$_2$ sorption in ion exchange sorbents: distinct interactions in amine versus quaternary ammonium materials
Golnaz Najaf Tomaraei, Sierra Binney, Ryan Stratton, Houlong Zhuang, Jennifer L. Wade
https://arxiv.org/abs/2508.03909

H$_2$O and CO$_2$ sorption in ion exchange sorbents: distinct interactions in amine versus quaternary ammonium materials
This study investigates the H$_2$O and CO$_2$ sorption behavior of two ion exchange sorbents: a primary amine and a permanently charged strong base quaternary ammonium (QA) groups with (bi)carbonate counter-anions. We compare their distinct interactions with H$_2$O and CO$_2$ through simultaneous thermal gravimetric, calorimetric, gas analysis and molecular modeling to evaluate their performance for dilute CO$_2$ separations like direct air capture. Thermal and hybrid (heat + low-temperature …

Ultrafast Raman probe of the photoinduced superconducting to normal state transition in the cuprate Bi$_2$Sr$_2$CaCu$_2$O$_{8 \delta}$
Laur\`ene Gatuingt, Alexandr Alekhin, Niloufar Nilforoushan, Sarah Houver, Alain Sacuto, Genda Gu, Yann Gallais
https://arxiv.org/abs/2508.04385

Ultrafast Raman probe of the photoinduced superconducting to normal state transition in the cuprate Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$
We report an ultrafast Time-Resolved Raman scattering study of the out-of-equilibrium photoinduced dynamics across the superconducting to normal state phase transition of the cuprate Bi$_2$Sr$_2$CaCu$_2$O$_{8+δ}$. Using the polarization-resolved momentum space selectivity of Raman scattering, we track the superconducting condensate destruction and recovery with sub-ps resolution in the anti-nodal region of the Fermi surface where the superconducting gap is maximum. Leveraging ultrafast Raman t…

This https://arxiv.org/abs/2503.09920 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Black-bounce solutions in a k-essence theory under the effects of bumblebee gravity
In the present study, we analyze the effects of violation of Lorentz symmetry for black-bounce solutions in a $k$-essence theory that has the form of a power law for the configuration $n=1/3$. We perform such analysis for a known model explored in previous work $Σ^2=x^2+a^2$ and complement the proposal with a new black-bounce model for the area functions $Σ^2_1=\sqrt{x^4+d^4}$. This model has the Schwarzschild-de Sitter asymptomatic behavior for $x\to{-\infty}$, and we investigate the scalar …

From Text to Trajectories: GPT-2 as an ODE Solver via In-Context
Ziyang Ma, Baojian Zhou, Deqing Yang, Yanghua Xiao
https://arxiv.org/abs/2508.03031 https://

From Text to Trajectories: GPT-2 as an ODE Solver via In-Context
In-Context Learning (ICL) has emerged as a new paradigm in large language models (LLMs), enabling them to perform novel tasks by conditioning on a few examples embedded in the prompt. Yet, the highly nonlinear behavior of ICL for NLP tasks remains poorly understood. To shed light on its underlying mechanisms, this paper investigates whether LLMs can solve ordinary differential equations (ODEs) under the ICL setting. We formulate standard ODE problems and their solutions as sequential prompts an…

This https://arxiv.org/abs/2506.01135 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

$\text{TREX}^2$: Dual-Reconstruction Framework for Teleoperated-Robot with EXtended Reality
Robot teleoperation with extended reality (XR teleoperation) enables intuitive interaction by allowing remote robots to mimic user motions with real-time 3D feedback. However, existing systems face significant motion-to-motion (M2M) latency--the delay between the user's latest motion and the corresponding robot feedback--leading to high teleoperation error and mission completion time. This issue stems from the system's exclusive reliance on network communication, making it highly vulnerable to …

ReVISit 2: A Full Experiment Life Cycle User Study Framework
Zach Cutler, Jack Wilburn, Hilson Shrestha, Yiren Ding, Brian Bollen, Khandaker Abrar Nadib, Tingying He, Andrew McNutt, Lane Harrison, Alexander Lex
https://arxiv.org/abs/2508.03876

ReVISit 2: A Full Experiment Life Cycle User Study Framework
Online user studies of visualizations, visual encodings, and interaction techniques are ubiquitous in visualization research. Yet, designing, conducting, and analyzing studies effectively is still a major burden. Although various packages support such user studies, most solutions address only facets of the experiment life cycle, make reproducibility difficult, or do not cater to nuanced study designs or interactions. We introduce reVISit 2, a software framework that supports visualization resea…

This https://arxiv.org/abs/2406.15909 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Fibred surfaces and their unitary rank
Let $f\colon S\to B$ a complex fibred surface with fibres of genus $g\geq 2$. Let $u_f$ be its unitary rank, i.e., the rank of the maximal unitary summand of the Hodge bundle $f_*ω_f$. We prove many new slope inequalities involving $u_f$ and some other invariants of the fibration. As applications: (1) we prove a new Xiao-type bound on $u_f$ with respect to $g$ for non-isotrivial fibrations: \[ u_f< g\frac{5g-2}{6g-3}. \] In particular this implies that if $f$ is not locally trivial and $u_f=…

This https://arxiv.org/abs/2406.13785 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Efficient Implementation of a Quantum Search Algorithm for Arbitrary N
This paper presents an enhancement to Grover's search algorithm for instances where the number of items (or the size of the search problem) $N$ is not a power of 2. By employing an efficient algorithm for the preparation of uniform quantum superposition states over a subset of the computational basis states, we demonstrate that a considerable reduction in the number of oracle calls (and Grover's iterations) can be achieved in many cases. For special cases (i.e., when $N$ is of the form such tha…

This https://arxiv.org/abs/2410.11295 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csCR_…

BRC20 Pinning Attack
BRC20 tokens are a type of non-fungible asset on the Bitcoin network. They allow users to embed customised content within Bitcoin's satoshis. The token frenzy reached a market size of US\$2.811\,b (2023Q3--2025Q1). However, this intuitive design has not undergone serious security scrutiny. We present the first analysis of BRC20's \emph{transfer} mechanism and identify a new attack vector. A typical BRC20 transfer involves two "bundled" on-chain transactions with different fee levels: the firs…

This https://arxiv.org/abs/2505.16779 has been replaced.
initial toot: https://mastoxiv.page/@a…

Phase engineering of MoS$_2$ monolayers: A pathway to enhanced lithium-polysulfide battery performance
This study explores the potential of MoS$_2$ polymorphs, specifically the semiconducting 2H phase and the metallic 1T$^\prime$ phase, as anchoring materials to enhance the electrochemical performance of lithium-sulfur (Li--S) batteries. Using density functional theory calculations, we show that 1T$^\prime$-MoS$_2$ exhibits stronger Li--S interactions, greater charge transfer, and enhanced catalytic activity compared to its 2H counterpart, effectively suppressing polysulfide dissolution and faci…

This https://arxiv.org/abs/2506.04119 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Exploring over 700 massive quiescent galaxies at z = 2-7: Demographics and stellar mass functions
High-redshift ($z>2$) massive quiescent galaxies are crucial tests of early galaxy formation and evolutionary mechanisms through their cosmic number densities and stellar mass functions (SMFs). We explore a sample of 745 massive ($\rm M_*> 10^{9.5}M_\odot$) quiescent galaxies from $z=2-7$ in over 800 arcmin$^2$ of NIRCam imaging from a compilation of public JWST fields (with a total area $>$ 5 $\times$ previous JWST studies). We compute and report their cosmic number densities, stellar mass fun…

CardiffNLP at CLEARS-2025: Prompting Large Language Models for Plain Language and Easy-to-Read Text Rewriting
Mutaz Ayesh, Nicol\'as Guti\'errez-Rol\'on, Fernando Alva-Manchego
https://arxiv.org/abs/2508.03240

CardiffNLP at CLEARS-2025: Prompting Large Language Models for Plain Language and Easy-to-Read Text Rewriting
This paper details the CardiffNLP team's contribution to the CLEARS shared task on Spanish text adaptation, hosted by IberLEF 2025. The shared task contained two subtasks and the team submitted to both. Our team took an LLM-prompting approach with different prompt variations. While we initially experimented with LLaMA-3.2, we adopted Gemma-3 for our final submission, and landed third place in Subtask 1 and second place in Subtask 2. We detail our numerous prompt variations, examples, and experi…

This https://arxiv.org/abs/2502.01760 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Type-II Seesaw Mechanism for Dirac Neutrinos and its Implications on $N_{\text{eff}}$ and Lepton Flavor Violation in a 3-3-1 model
In this study, we implement the type-II seesaw mechanism for Dirac neutrino masses within the framework of a 3-3-1 model. To this end, we introduce a scalar sextet and impose both lepton number conservation and invariance under a discrete $Z_2$ symmetry in the Lagrangian. This mechanism naturally generates small Dirac neutrino masses by allowing the soft breaking of the $Z_2$ symmetry through a unique term in the scalar potential, while preserving lepton number. Specifically, we explore the rea…

This https://arxiv.org/abs/2505.24739 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_ees…

Contrast-Invariant Self-supervised Segmentation for Quantitative Placental MRI
Accurate placental segmentation is essential for quantitative analysis of the placenta. However, this task is particularly challenging in T2*-weighted placental imaging due to: (1) weak and inconsistent boundary contrast across individual echoes; (2) the absence of manual ground truth annotations for all echo times; and (3) motion artifacts across echoes caused by fetal and maternal movement. In this work, we propose a contrast-augmented segmentation framework that leverages complementary infor…

Frustrated $J_1-J_2$ Diamond Lattice Antiferromagnet Co$_2$Ti$_3$O$_8$ with a Vacancy-ordered Spinel Structure Synthesized via a Topochemical Reaction
Rio Kumeda, Yuya Haraguchi, Daisuke Nishio-Hamane, Akira Matsuo, Koichi Kindo, Hiroko Aruga Katori
https://arxiv.org/abs/2506.05099

Frustrated $J_1-J_2$ Diamond Lattice Antiferromagnet Co$_2$Ti$_3$O$_8$ with a Vacancy-ordered Spinel Structure Synthesized via a Topochemical Reaction
Metastable Co$_2$Ti$_3$O$_8$ was synthesized through a topochemical reaction using Li$_2$CoTi$_3$O$_8$ as the precursor, resulting in a vacancy-ordered spinel structure. Crystal structure analysis confirmed that Co ions selectively occupy the A-site, giving rise to a frustrated diamond lattice. Magnetic susceptibility and heat capacity measurements revealed antiferromagnetic order at 4.4 K, which is markedly suppressed compared to the negative Weiss temperature of ${\sim}-27$ K, indicating a hi…

Replaced article(s) found for stat.ML. https://arxiv.org/list/stat.ML/new
[2/2]:
- On learning functions over biological sequence space: relating Gaussian process priors, regulariz...
Samantha Petti, Carlos Mart\'i-G\'omez, Justin B. Kinney, Juannan Zhou, David M. McCandlish
…

UnMuted: Defining SARS-CoV-2 Lineages According to Temporally Consistent Mutation Clusters in Wastewater Samples
Devan Becker
https://arxiv.org/abs/2508.03508 https://

UnMuted: Defining SARS-CoV-2 Lineages According to Temporally Consistent Mutation Clusters in Wastewater Samples
SARS-CoV-2 lineages are defined according to placement in a phylogenetic tree, but approximated by a list of mutations based on sequences collected from clinical sampling. Wastewater lineage abundance is generally found under the assumption that the mutation frequency is approximately equal to the sum of the abundances of the lineages to which it belongs. By leveraging numerous samples collected over time, I am able to estimate the temporal trends of the abundance of lineages as well as the def…

This https://arxiv.org/abs/2405.04406 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csIT_…

Rényi divergence guarantees for hashing with linear codes
We consider the problem of distilling uniform random bits from an unknown source with a given $p$-entropy using linear hashing. As our main result, we estimate the expected $p$-divergence from the uniform distribution over the ensemble of random linear codes for all integer $p\ge 2$. The proof relies on analyzing how additive noise, determined by a random element of the code from the ensemble, acts on the source distribution. This action leads to the transformation of the source distribution in…

ChineseEEG-2: An EEG Dataset for Multimodal Semantic Alignment and Neural Decoding during Reading and Listening
Sitong Chen, Beiqianyi Li, Cuilin He, Dongyang Li, Mingyang Wu, Xinke Shen, Song Wang, Xuetao Wei, Xindi Wang, Haiyan Wu, Quanying Liu
https://arxiv.org/abs/2508.04240

ChineseEEG-2: An EEG Dataset for Multimodal Semantic Alignment and Neural Decoding during Reading and Listening
EEG-based neural decoding requires large-scale benchmark datasets. Paired brain-language data across speaking, listening, and reading modalities are essential for aligning neural activity with the semantic representation of large language models (LLMs). However, such datasets are rare, especially for non-English languages. Here, we present ChineseEEG-2, a high-density EEG dataset designed for benchmarking neural decoding models under real-world language tasks. Building on our previous ChineseEE…

Replaced article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[2/9]:
- BiDoRA: Bi-level Optimization-Based Weight-Decomposed Low-Rank Adaptation
Peijia Qin, Ruiyi Zhang, Pengtao Xie

Cartier integration of infinitesimal 2-braidings via 2-holonomy of the CMKZ 2-connection, I: Hexagonators and the Breen polytope
Cameron James Deverall Kemp
https://arxiv.org/abs/2508.01944

Cartier integration of infinitesimal 2-braidings via 2-holonomy of the CMKZ 2-connection, I: Hexagonators and the Breen polytope
This paper follows on from "Syllepses from 3-shifted Poisson structures and second-order integration of infinitesimal 2-braidings". Given a symmetric strict infinitesimal 2-braiding on a symmetric strict monoidal cochain 2-category, we construct a candidate hexagonator series as a 2-holonomy with respect to the Cirio-Martins-Knizhnik-Zamolodchikov (CMKZ) fake flat 2-connection over the configuration space of 3 distinguishable particles on the complex line, $Y_3$. The second-order term of the he…

This https://arxiv.org/abs/2411.07970 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

MUltiplexed Survey Telescope: Perspectives for Large-Scale Structure Cosmology in the Era of Stage-V Spectroscopic Survey
The MUltiplexed Survey Telescope (MUST) is a 6.5-meter telescope under development. Dedicated to highly-multiplexed, wide-field spectroscopic surveys, MUST observes over 20,000 targets simultaneously using 6.2-mm pitch positioning robots within a ~5 deg$^2$ field of view. MUST aims to conduct the first Stage-V spectroscopic survey in the 2030s, mapping the 3D Universe with over 100 million galaxies and quasars, spanning from the nearby Universe to a redshift of z ~ 5.5, corresponding to approxi…

[2025-06-06 Fri (UTC), 2 new articles found for math.LO Logic]
#toXiv_bot_toot

This https://arxiv.org/abs/2312.00885 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Divisible minimal codes
Minimal codes are linear codes where all non-zero codewords are minimal, i.e., whose support is not properly contained in the support of another codeword. The minimum possible length of such a $k$-dimensional linear code over $\mathbb{F}_q$ is denoted by $m(k,q)$. Here we determine $m(7,2)$, $m(8,2)$, and $m(9,2)$, as well as full classifications of all codes attaining $m(k,2)$ for $k\le 7$ and those attaining $m(9,2)$. We give improved upper bounds for $m(k,2)$ for all $10\le k\le 17$. It turn…

This https://arxiv.org/abs/2411.04846 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csDS_…

On the Complexity of 2-club Cluster Editing with Vertex Splitting
Editing a graph to obtain a disjoint union of s-clubs is one of the models for correlation clustering, which seeks a partition of the vertex set of a graph so that elements of each resulting set are close enough according to some given criterion. For example, in the case of editing into s-clubs, the criterion is proximity since any pair of vertices (in an s-club) are within a distance of s from each other. In this work we consider the vertex splitting operation, which allows a vertex to belong …

This https://arxiv.org/abs/2501.12729 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On the algebraic transfers of ranks 4 and 6 at generic degrees
Let $\mathscr A$ denote the classical singly-graded Steenrod algebra over the binary field $\mathbb Z/2.$ We write $P_k:=\mathbb Z/2[t_1, t_2, \ldots, t_k]$ as the polynomial algebra on $k$ generators, each having a degree of one. Let $GL_k$ be the general linear group of rank $k$ over $\mathbb Z/2.$ Then, $P_k$ is an $ \mathscr A[GL_k]$-module. The structure of the cohomology groups, ${\rm Ext}_{ \mathscr A}^{k, k+\bullet}(\mathbb Z/2, \mathbb Z/2)$, of the Steenrod algebra has, thus far, resi…

This https://arxiv.org/abs/2309.12760 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Complex crystallographic reflection groups and Seiberg-Witten integrable systems: rank 1 case
We consider generalisations of the elliptic Calogero--Moser systems associated to complex crystallographic groups in accordance to [1]. In our previous work [2], we proposed these systems as candidates for Seiberg--Witten integrable systems of certain SCFTs. Here we examine that proposal for complex crystallographic groups of rank one. Geometrically, this means considering elliptic curves $T^2$ with $\mathbb{Z}_m$-symmetries, $m=2,3,4,6$, and Poisson deformations of the orbifolds $(T^2\times\ma…

The essential $2$-dimension of the linear groups
Hannah Knight
https://arxiv.org/abs/2508.02859 https://arxiv.org/pdf/2508.02859

The essential $2$-dimension of the linear groups
In this paper, we compute the essential $2$-dimension when the defining prime is odd of the general linear groups, the projective general linear groups, the special linear groups when $n$ is odd or $n = 2$, as well as the special linear groups and quotients of it (such as the projective special linear groups) in the case case $q \equiv 1 \mod 4$, $s = v_2(q-1)$, and $Γ= \text{Gal}(k(ζ_{2^s})/k)$ is trivial.

This https://arxiv.org/abs/2306.15594 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

2-Elongated Plane Partitions and Powers of 7: The Localization Method Applied to a Genus 1 Congruence Family
Over the last century, a large variety of infinite congruence families have been discovered and studied, exhibiting a great variety with respect to their difficulty. Major complicating factors arise from the topology of the associated modular curve: classical techniques are sufficient when the associated curve has cusp count 2 and genus 0. Recent work has led to new techniques that have proven useful when the associated curve has cusp count greater than 2 and genus 0. We show here that these te…

Deformations and Einstein metrics I
Changtao Yu
https://arxiv.org/abs/2508.03419 https://arxiv.org/pdf/2508.03419…

Deformations and Einstein metrics I
This essay is about how to construct a new Einstein metric by an old one. Given an Einstein metric $α$ and its Killing $1$-form $β$, donote $b:=\|β\|_α$, we aim to determined the deformation factors $e^{ρ(b^2)}$ and $κ(b^2)$ such that $e^{ρ(b^2)}\sqrt{α^2-κ(b^2)β^2}$ becomes an Einstein metric. In face, it will depends critically on the peculiarities of the Killing $1$-form. As the first article in this series, we assume $β$ satisfies two curcial conditions (5.3) and (5.4),…

This https://arxiv.org/abs/2504.15265 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Realization of maximally-entangling two-qutrit gates using the Cross-Resonance scheme
In this letter, we present a comprehensive theoretical framework for realizing maximally entangling two-qutrit gates on fixed-frequency transmons that generalize the qubit-centric cross-resonance (CR) interaction beyond the 0-1 subspace, which we call as generalized cross-resonance (GCR) scheme. We use the GCR scheme to design parametric two-qutrit gates, namely, $U_{CR}^{01}$ and $U_{CR}^{12}$, that act on the $0{-}1$ and $1{-}2$ energy transitions of transmons, respectively. Our gates improve…

This https://arxiv.org/abs/2506.01759 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_csRO_…

ADEPT: Adaptive Diffusion Environment for Policy Transfer Sim-to-Real
Model-free reinforcement learning has emerged as a powerful method for developing robust robot control policies capable of navigating through complex and unstructured environments. The effectiveness of these methods hinges on two essential elements: (1) the use of massively parallel physics simulations to expedite policy training, and (2) an environment generator tasked with crafting sufficiently challenging yet attainable environments to facilitate continuous policy improvement. Existing metho…

On elementary abelian 2-hypergroups
Yu Jiang
https://arxiv.org/abs/2506.05291 https://arxiv.org/pdf/2506.05291

On elementary abelian 2-hypergroups
A hypergroup is called an elementary abelian 2-hypergroup if it is a constrained direct product of the closed subsets of two elements. In this paper, the elementary abelian 2-hypergroups are studied. All closed subsets and all strongly normal closed subsets of the elementary abelian 2-hypergroups are determined. The numbers of all closed subsets and all strongly normal closed subsets of the elementary abelian 2-hypergroups are given. A criterion for the isomorphic closed subsets of the elementa…

Global smooth solutions of 2-D quadratically quasilinear wave equations with null conditions in exterior domains, II
Fei Hou, Huicheng Yin
https://arxiv.org/abs/2508.03348 https…

Global smooth solutions of 2-D quadratically quasilinear wave equations with null conditions in exterior domains, II
In the paper [S. Alinhac, The null condition for quasilinear wave equations in two space dimensions I, Invent. Math. 145 (2001), no. 3, 597-618], S. Alinhac established the global existence of small data smooth solutions to the Cauchy problem of 2-D quadratically quasilinear wave equations with null conditions. However, for the corresponding 2-D initial boundary value problem in exterior domains, it is still open whether the global solutions exist. When the 2-D quadratic nonlinearity admits a s…

This https://arxiv.org/abs/2401.04391 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Kawamata-Miyaoka type inequality for canonical $\mathbb Q$-Fano varieties II: Terminal $\mathbb Q$-Fano threefolds
We prove an optimal Kawamata-Miyaoka type inequality for terminal $\mathbb Q$-Fano threefolds with Fano index at least $3$. As an application, we obtain that any terminal $\mathbb Q$-Fano threefold $X$ satisfies the following Kawamata-Miyaoka type inequality \[ c_1(X)^3 < 3c_2(X)c_1(X). \]

Replaced article(s) found for cs.CR. https://arxiv.org/list/cs.CR/new
[2/2]:
- AI-Based Crypto Tokens: The Illusion of Decentralized AI?
Rischan Mafrur
https://…

Replaced article(s) found for math-ph. https://arxiv.org/list/math-ph/new
[1/2]:
- A class of 2 X 2 correlated random-matrix models with Brody spacing distribution
Jamal Sakhr

This https://arxiv.org/abs/2506.04031 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Brightest Group Galaxies IV: Probing Size--Mass Relation and Morphological Quenching in COSMOS-Web from $z = 3.7$
We present a comprehensive study of the structural evolution of Brightest Group Galaxies (BGGs) from redshift $z \simeq 0.08$ to $z = 3.7$ using the \textit{James Webb Space Telescope}'s 255h COSMOS-Web program. This survey provides deep NIRCam imaging in four filters (F115W, F150W, F277W, F444W) across $\sim 0.54~\mathrm{deg}^2$ and MIRI coverage in $\sim 0.2~\mathrm{deg}^2$ of the COSMOS field. High-resolution NIRCam imaging enables robust size and morphological measurements, while multiwavel…

Replaced article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[2/10]:
- VideoLLaMB: Long Streaming Video Understanding with Recurrent Memory Bridges
Yuxuan Wang, Yiqi Song, Cihang Xie, Yang Liu, Zilong Zheng

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[2/9]:
- From Semantic Web and MAS to Agentic AI: A Unified Narrative of the Web of Agents
Tatiana Petrova, Boris Bliznioukov, Aleksandr Puzikov, Radu State

This https://arxiv.org/abs/2504.07679 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Assessing cosmological evidence for non-minimal coupling
The recent observational evidence of deviations from the $Λ$-Cold Dark Matter ($Λ$CDM) model points towards the presence of evolving dark energy. The simplest possibility consists of a cosmological scalar field $φ$, dubbed quintessence, driving the accelerated expansion. We assess the evidence for the existence of such a scalar field. We find that, if the accelerated expansion is driven by quintessence, the data favour a potential energy $V(φ)$ that is concave, i.e., $m^2=d^2V/dφ^2<0$. Fur…

This https://arxiv.org/abs/2502.14032 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Critical theories connecting gapped phases with $\mathbb{Z}_2\times\mathbb{Z}_2$ symmetry from the duality web
We use the ideas behind the duality web to construct numerous conformal field theories mediating the phase transitions between various symmetry broken and topological phases. In particular we obtain the full field theory version of the Kennedy Tasaki transformation, mapping a gapless theory mediating a topological phase transition of symmetry protected topological orders to a standard symmetry breaking one in a 1+1 dimensional $\mathbb{Z}_2 \times \mathbb{Z}_2$ gauge theory. When we consider al…

Observation of Anomalous Hall Effect in Bulk Single Crystals of n-type Cr-doped Sb$_{2}$Te$_{3}$ Magnetic Topological Insulator
Ali Sarikhani (Material Research Center, Missouri University of Science and Technology, Rolla, MO), Mathew Pollard (Department of Physics, Missouri University of Science and Technology, Rolla, MO), Jacob Cook (Department of Physics and Astronomy, University of Missouri, Columbia, MO), Sheng Qiu (Department of Physics, Missouri University of Science and Technol…

Observation of Anomalous Hall Effect in Bulk Single Crystals of n-type Cr-doped Sb$_{2}$Te$_{3}$ Magnetic Topological Insulator
The exploration of topological Dirac surface states is significant in the realms of condensed matter physics and future technological innovations. Among the materials garnering attention is Sb$_{2}$Te$_{3}$, a compound that theoretically exhibits topological insulating properties. However, its inherent p-type nature prevents the direct experimental verification of its Dirac surface state due to the Fermi level alignment with the valence band. In this study, by doping Cr atoms into Sb$_{2}$Te$_{…

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[2/5]:
- Control Illusion: The Failure of Instruction Hierarchies in Large Language Models
Geng, Li, Mu, Han, Baldwin, Abend, Hovy, Frermann

A comprehensive study of the charged Higgs boson in the two Higgs doublet type-II seesaw model
Brahim Ait-Ouazghour, Abdesslam Arhrib, Mohamed Chabab, Khalid Goure
https://arxiv.org/abs/2508.04493

A comprehensive study of the charged Higgs boson in the two Higgs doublet type-II seesaw model
We investigate the phenomenology of the charged Higgs boson within the Two-Higgs-Doublet Type-II Seesaw Model (2HDMcT Type-III) at future $μ^+ μ^-$ colliders. Focusing on $2 \to 2$ processes such as $μ^+ μ^- \to H^+_1 S^-$ ($S^- = H^-_1, H^-_2$) and $μ^+ μ^- \to H^+_1 W^-$, we incorporate both theoretical and experimental constraints to assess their production prospects. We find that $σ(μ^+ μ^- \to H_1^+ H_1^-)$ can reach or exceed the corresponding $e^+ e^-$ cross section, while $σ(�…

This https://arxiv.org/abs/2501.11694 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_grqc_…

Gravitational Wave Propagation in a Geometric Condensate in Starobinsky Cosmology
In this paper we propose a new paradigm for cosmology: a time dependent scalar condensate background originated from the quadratic $(R + αR^2)$ Starobinski model, where $R$ is the Ricci scalar and $α$ the coupling constant. In weak gravity limit the system decouples into a conventional graviton and a higher derivative scalar. It was shown earlier through works from our group, \cite{ssg,sg,us}, that the latter can sustain an oscillatory lowest energy configuration or a {\it{Geometric Condensat…

Interstitial oxygen order and its competition with superconductivity in La$_2$PrNi$_2$O$_{7 \delta}$
Zehao Dong, Gang Wang, Ningning Wang, Wen-Han Dong, Lin Gu, Yong Xu, Jinguang Cheng, Zhen Chen, Yayu Wang
https://arxiv.org/abs/2508.03414

Interstitial oxygen order and its competition with superconductivity in La$_2$PrNi$_2$O$_{7+δ}$
High-temperature superconductivity in bilayer nickelate La$_3$Ni$_2$O$_7$ under pressure has attracted significant interest in condensed matter physics. While early samples exhibited limited superconducting volume fractions, Pr substitution for La enabled bulk superconductivity in polycrystals under pressure and enhanced transition temperatures in thin films at ambient pressure. Beyond rare-earth doping, moderate oxygen or ozone annealing improves superconductivity by mitigating oxygen vacancie…

2-Categorical Foundations for Multiparameter Persistence
Mauricio Angel
https://arxiv.org/abs/2508.02914 https://arxiv.org/pdf/2508.02914

2-Categorical Foundations for Multiparameter Persistence
This paper introduces a novel approach to multi-parameter persistence using 2-categorical structures. We develop a framework that captures hierarchical interactions between filter parameters, overcoming fundamental limitations of traditional persistence modules. Our 2-categorical model yields new invariants that effectively characterize multidimensional topological features while maintaining computational tractability. We prove stability theorems for these invariants and demonstrate their effec…

This https://arxiv.org/abs/2505.03447 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Asymptotic formula for the sum of a prime and a square-full number in intervals shorter than $X^{1/2}$
Let $R(N)$ be the number of representations of $N$ as a sum of a prime and a square-full number weighted with logarithmic function. In $2024$, the author and Y. Suzuki obtained an asymptotic formula for the sum of $R(N)$ over positive integers $N$ in a short interval ($X$, $X+H$] for $X^{\frac{1}{2}+\varepsilon} \le H < X^{1-\varepsilon}$. In this article, we improve the range of $H$, that is, we prove the same asymptotic formula for $X^{\frac{32-4\sqrt{15}}{49}+\varepsilon} \le H \le X^{1- \va…

This https://arxiv.org/abs/2506.01068 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Free field construction of Heterotic string compactified on Calabi-Yau manifolds of Berglund-Hubsch type in the Batyrev-Borisov combinatorial approach
Heterotic string models in $4$-dimensions are the hybrid theories of a left-moving $N=1$ fermionic string whose additional $6$-dimensions are compactified on a $N=2$ SCFT theory with the central charge $9$, and a right-moving bosonic string, whose additional dimensions are also compactified on $N=2$ SCFT theory with the central charge $9$, and the remaining $13$ dimensions of which form the torus of $E(8)\times SO(10)$ Lie algebra. The important class of exactly solvable Heterotic string mode…

Replaced article(s) found for cs.RO. https://arxiv.org/list/cs.RO/new
[2/2]:
- Vision-Language Fusion for Real-Time Autonomous Driving: Goal-Centered Cross-Attention of Camera,...
Santosh Patapati, Trisanth Srinivasan, Murari Ambati

Replaced article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[2/6]:
- Video Is Worth a Thousand Images: Exploring the Latest Trends in Long Video Generation
Faraz Waseem, Muhammad Shahzad

Properties of associated Legendre conical functions
Daniel A. Norman, Philip D. Mannheim, Tianye Liu
https://arxiv.org/abs/2508.01804 https://arxiv.org/pdf…

Properties of associated Legendre conical functions
We present some new properties of associated Legendre conical functions of the first and second kind, $P^{-1/2-K}_{-1/2+i τ}(χ)$ and $Q^{-1/2-K}_{-1/2+i τ}(χ)$. In particular we show that with the $τ$-independent $\mathcal{R}^{K}_{n}(χ)=(2π)^{-3/2}\tanh^{-K}χ\sinh^{-1/2}χ[Γ(1+K)]^{-1}\int_{0}^{2π} dω\left (1-\cos ω/\coshχ\right)^{K}e^{inω}$ for any general $K$, we can set $P^{-1/2-K}_{-1/2+i τ}(χ)=2\sum_{n}\mathcal{R}^{K}_{n}(χ)\sin[(τ-in)χ)]/(τ-in)$, where $n$ ranges from …

The asymptotics of the $\mathrm{SL}_2(\mathbb{C})$-Hitchin metric on the singular locus: subintegrable systems
Siqi He, Johannes Horn, Nianzi Li
https://arxiv.org/abs/2506.04957

The asymptotics of the $\mathrm{SL}_2(\mathbb{C})$-Hitchin metric on the singular locus: subintegrable systems
We study the asymptotic hyperkähler geometry of the $\mathrm{SL}_2(\mathbb{C})$-Hitchin moduli space over the singular fibers of the Hitchin fibration. We extend the previously known exponential convergence results for solutions to the Hitchin equation to the class of locally fiducial Higgs bundles defined by a special local description at the singularities of the spectral curve. This condition is satisfied by the Higgs bundles contained in certain subintegrable systems introduced by Hitchin. …

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[2/6]:
- Model-Based Soft Maximization of Suitable Metrics of Long-Term Human Power
Jobst Heitzig, Ram Potham

[2025-06-06 Fri (UTC), 2 new articles found for math.AG Algebraic Geometry]
#toXiv_bot_toot

This https://arxiv.org/abs/2306.05306 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Vertex isoperimetry on signed graphs and spectra of non-bipartite Cayley and Cayley sum graphs
For a non-bipartite finite Cayley graph, we show the non-trivial eigenvalues of its normalized adjacency matrix lie in the interval $$\left[-1+\frac{ch_{out}^2}{d},1-\frac{Ch_{out}^2}{d}\right],$$ for some absolute constant $c$ and $C$, where $h_{out}$ stands for the outer vertex boundary isoperimetric constant. This improves upon recent obtained estimates aiming at a quantitative version of a result due to Breuillard, Green, Guralnick and Tao. We achieve this by extending the work of Bobkov, H…

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[2/4]:
- MetaGen Blended RAG: Unlocking Zero-Shot Precision for Specialized Domain Question-Answering
Kunal Sawarkar, Shivam R. Solanki, Abhilasha Mangal

A Compact 16-bit S-box over Tower Field $\F_{(((2^2)^2)^2)^2}$ with High Security
Bahram Rashidi, Behrooz Khadem
https://arxiv.org/abs/2507.01423 https://

A Compact 16-bit S-box over Tower Field $\F_{(((2^2)^2)^2)^2}$ with High Security
This paper introduces a compact and secure 16-bit substitution box (S-box) designed over the composite field $\F_{(((2^2)^2)^2)^2}$, optimized for both hardware efficiency and cryptographic robustness. The proposed S-box decomposes operations into subfields, leveraging a tower field architecture. This enables significant hardware reduction through optimized field inversion and a low-cost affine transformation. Security evaluations confirm resilience against linear, differential, algebraic and D…

This https://arxiv.org/abs/2502.20044 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hepp…

Spin 1 Transverse Momentum Dependent Tensor Structure Functions in CLAS12
We propose to analyze CLAS12 RG-C data to study the tensor transverse-momentum-dependent parton distribution functions (TMDs) on deuteron data. The deuteron is the lightest nucleus with spin-1, in essence a weakly bound system of two spin-1/2 nucleons. However, one of the most intriguing characteristics of the deuteron is that the tensor polarized structure provides direct access to the quark and gluon distribution of light nuclear system, which cannot be naively constructed from the proton and…

The Open DAC 2025 Dataset for Sorbent Discovery in Direct Air Capture
Anuroop Sriram, Logan M. Brabson, Xiaohan Yu, Sihoon Choi, Kareem Abdelmaqsoud, Elias Moubarak, Pim de Haan, Sindy L\"owe, Johann Brehmer, John R. Kitchin, Max Welling, C. Lawrence Zitnick, Zachary Ulissi, Andrew J. Medford, David S. Sholl
https://arxiv.org/abs/2508…

The Open DAC 2025 Dataset for Sorbent Discovery in Direct Air Capture
Identifying useful sorbent materials for direct air capture (DAC) from humid air remains a challenge. We present the Open DAC 2025 (ODAC25) dataset, a significant expansion and improvement upon ODAC23 (Sriram et al., ACS Central Science, 10 (2024) 923), comprising nearly 70 million DFT single-point calculations for CO$_2$, H$_2$O, N$_2$, and O$_2$ adsorption in 15,000 MOFs. ODAC25 introduces chemical and configurational diversity through functionalized MOFs, high-energy GCMC-derived placements,…

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map
Adam Grzela, Katarzyna Mazowiecka
https://arxiv.org/abs/2506.05060

Existence of infinitely many homotopy classes from $\mathbb S^3$ to $\mathbb S^2$ having a minimimzing $W^{s,\frac 3s}$-harmonic map
In 1998 T. Rivière proved that there exist infinitely many homotopy classes of $π_3(\mathbb S^2)$ having a minimizing 3-harmonic map. This result is especially surprising taking into account that in $π_3(\mathbb S^3)$ there are only three homotopy classes (corresponding to the degrees $\{-1,0,1\}$) in which a minimizer exists. We extend this theorem in the framework of fractional harmonic maps and prove that for $s\in(0,1)$ there exist infinitely many homotopy classes of $π_{3}(\mathbb S^…

This https://arxiv.org/abs/2501.00092 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Moments and saddles of heavy CFT correlators
We study the operator product expansion (OPE) of identical scalars in a conformal four-point correlator as a Stieltjes moment problem, and use Riemann-Liouville type fractional differential operators to generate classical moments from the correlation function. We use crossing symmetry to derive leading and subleading relations between moments in $Δ$ and $J_2 \equiv \ell(\ell+d-2)$ in the ``heavy" limit of large external scaling dimension, and combine them with constraints from unitarity to der…

This https://arxiv.org/abs/2408.06200 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Dirichlet improvability in $L_p$-norms
For a norm $F$ on $\mathbb{R}^2$, we consider the set of $F$-Dirichlet improvable numbers $\mathbf{DI}_F$. In the most important case of $F$ being an $L_p$-norm with $p=\infty$, which is a supremum norm, it is well-known that $\mathbf{DI}_F = \mathbf{BA}\cup \mathbb{Q}$, where $\mathbf{BA}$ is a set of badly approximable numbers. It is also known that $\mathbf{BA}$ and each $\mathbf{DI}_F$ are of measure zero and of full Hausdorff dimension. Using classification of critical lattices for unit …

This https://arxiv.org/abs/2506.02971 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

The affirmative answer to Singer's conjecture on the algebraic transfer of rank four
In recent decades, the structure of the mod-2 cohomology of the Steenrod ring $\mathscr A$ has become a major subject of study in the field of Algebraic Topology. One of the earliest attempts to study this cohomology through the use of modular representations of the general linear groups was the groundbreaking work [Math. Z. 202 (1989), 493-523] by W.M. Singer. In that work, Singer introduced a homomorphism, commonly referred to as the "algebraic transfer," which maps from the coinvariants of a…

Spectral Tur\'{a}n problem of non-bipartite graphs: Forbidden books
Ruifang Liu, Lu Miao
https://arxiv.org/abs/2506.04884 https://

Spectral Turán problem of non-bipartite graphs: Forbidden books
A book graph $B_{r+1}$ is a set of $r+1$ triangles with a common edge, where $r\geq0$ is an integer. Zhai and Lin [J. Graph Theory 102 (2023) 502-520] proved that for $n\geq\frac{13}{2}r$, if $G$ is a $B_{r+1}$-free graph of order $n$, then $ρ(G)\leqρ(T_{n,2})$, with equality if and only if $G\cong T_{n,2}$. Note that the extremal graph $T_{n,2}$ is bipartite. Motivated by the above elegant result, we investigate the spectral Turán problem of non-bipartite $B_{r+1}$-free graphs of order $n$.…

Video Demoireing using Focused-Defocused Dual-Camera System
Xuan Dong, Xiangyuan Sun, Xia Wang, Jian Song, Ya Li, Weixin Li
https://arxiv.org/abs/2508.03449 https://

Video Demoireing using Focused-Defocused Dual-Camera System
Moire patterns, unwanted color artifacts in images and videos, arise from the interference between spatially high-frequency scene contents and the spatial discrete sampling of digital cameras. Existing demoireing methods primarily rely on single-camera image/video processing, which faces two critical challenges: 1) distinguishing moire patterns from visually similar real textures, and 2) preserving tonal consistency and temporal coherence while removing moire artifacts. To address these issues,…

Can Large Language Models Bridge the Gap in Environmental Knowledge?
Linda Smail (College of Interdisciplinary Studies, Zayed University, UAE), David Santandreu Calonge (Department of Academic Development, Mohamed bin Zayed University of Artificial Intelligence, UAE), Firuz Kamalov (School of Engineering, Applied Science,Technology, Canadian University Dubai, UAE), Nur H. Orak (Department of Environmental Engineering, Marmara University, T\"urkiye)

Can Large Language Models Bridge the Gap in Environmental Knowledge?
This research investigates the potential of Artificial Intelligence (AI) models to bridge the knowledge gap in environmental education among university students. By focusing on prominent large language models (LLMs) such as GPT-3.5, GPT-4, GPT-4o, Gemini, Claude Sonnet, and Llama 2, the study assesses their effectiveness in conveying environmental concepts and, consequently, facilitating environmental education. The investigation employs a standardized tool, the Environmental Knowledge Test (EK…

CTR-Sink: Attention Sink for Language Models in Click-Through Rate Prediction
Zixuan Li, Binzong Geng, Jing Xiong, Yong He, Yuxuan Hu, Jian Chen, Dingwei Chen, Xiyu Chang, Liang Zhang, Linjian Mo, Chengming Li, Chuan Yuan, Zhenan Sun
https://arxiv.org/abs/2508.03668

CTR-Sink: Attention Sink for Language Models in Click-Through Rate Prediction
Click-Through Rate (CTR) prediction, a core task in recommendation systems, estimates user click likelihood using historical behavioral data. Modeling user behavior sequences as text to leverage Language Models (LMs) for this task has gained traction, owing to LMs' strong semantic understanding and contextual modeling capabilities. However, a critical structural gap exists: user behavior sequences consist of discrete actions connected by semantically empty separators, differing fundamentally fr…

This https://arxiv.org/abs/2312.00138 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Scalar curvature and volume entropy of hyperbolic 3-manifolds
We show that any closed hyperbolic 3-manifold M admits a Riemannian metric with scalar curvature at least -6, but with volume entropy strictly larger than 2. In particular, this construction gives counterexamples to a conjecture of I. Agol, P. Storm and W. Thurston.

This https://arxiv.org/abs/2303.00143 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Hecke Actions on Loops and Periods of Iterated Shimura Integrals
In this paper we show that the classical Hecke correspondences T_N, N>0, act on the free abelian groups generated by the conjugacy classes of the modular group SL_2(Z) and the conjugacy classes of its profinite completion. We show that this action induces a dual action on the ring of class functions of a certain relative unipotent completion of the modular group. This ring contains all iterated integrals of modular forms that are constant on conjugacy classes. It possesses a natural mixed Hodge…

This https://arxiv.org/abs/2503.15398 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Separation of variables for higher rank integrable models: review of recent progress
Separation of variables (SoV) is a powerful method expected to be applicable for a wide range of quantum integrable systems, from models in condensed matter physics to gauge and string theories. Yet its full implementation for many higher rank examples, such as SU(N) spin chains with N>2, has remained elusive for a long time. In this pedagogical review we discuss the major progress achieved recently in understanding SoV for models of this type. In particular, for rational SU(N) spin chains we d…

Visual Document Understanding and Question Answering: A Multi-Agent Collaboration Framework with Test-Time Scaling
Xinlei Yu, Zhangquan Chen, Yudong Zhang, Shilin Lu, Ruolin Shen, Jiangning Zhang, Xiaobin Hu, Yanwei Fu, Shuicheng Yan
https://arxiv.org/abs/2508.03404

Visual Document Understanding and Question Answering: A Multi-Agent Collaboration Framework with Test-Time Scaling
Existing vision-language models (VLMs), whether generalists or specialists, remain constrained by their parameter scale, lack robust self-correction capabilities, and underperform in tasks involving long visual contexts and complex reasoning, resulting in suboptimal performance on document-based tasks. To address this, we propose MACT, a Multi-Agent Collaboration framework with Test-Time scaling, tailored for visual document understanding and visual question answering (VQA). It comprises four d…

Cognitive Loop via In-Situ Optimization: Self-Adaptive Reasoning for Science
Newman Cheng, Gordon Broadbent, William Chappell
https://arxiv.org/abs/2508.02789 https://

Cognitive Loop via In-Situ Optimization: Self-Adaptive Reasoning for Science
The capacity for artificial intelligence (AI) to formulate, evolve, and test altered thought patterns under dynamic conditions indicates advanced cognition that is crucial for scientific discovery. The existing AI development landscape falls into two categories: 1) frameworks over non-reasoning models that natively incorporate opinions on how humans think, and 2) reasoning models that abstract precise control of the reasoning intuition away from end users. While powerful, for scientists to maxi…

The Subgraphs of Order Six of the Family of Strongly Regular Graphs with Parameters $\lambda=1$ and $\mu=2$
Reimbay Reimbayev
https://arxiv.org/abs/2508.03377 https://

The Subgraphs of Order Six of the Family of Strongly Regular Graphs with Parameters $λ=1$ and $μ=2$
Strongly regular graphs are highly symmetrical and can be described fully with just a few parameters yet the existence of many of them is still under the question. Due to this uncertainty, it is of immense interest to study their structure, in particular to obtain all the possible subgraphs of lower order. In this paper we study the family of strongly regular graphs with parameters $λ=1$ and $μ=2$ and establish all their subgraphs of order six.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay
Shuli Chen
https://arxiv.org/abs/2508.04173 https://arxiv.o…

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay
We prove that if an orientable 3-manifold $M$ admits a complete Riemannian metric whose scalar curvature is positive and has at most $C$-quadratic decay at infinity for some $C > \frac{2}{3}$, then it decomposes as a (possibly infinite) connected sum of spherical manifolds and $\mathbb{S}^2\times \mathbb{S}^1$ summands. Consequently, $M$ carries a complete Riemannian metric of uniformly positive scalar curvature. The decay constant $\frac{2}{3}$ is sharp, as demonstrated by metrics on $\mathbb{…

This https://arxiv.org/abs/2308.06673 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Remarks on Greenberg's conjecture for Galois representations associated to elliptic curves
Let $E_{/\mathbb{Q}}$ be an elliptic curve and $p$ be an odd prime number at which $E$ has good ordinary reduction. Let $Sel_{p^\infty}(\mathbb{Q}_\infty, E)$ denote the $p$-primary Selmer group of $E$ considered over the cyclotomic $\mathbb{Z}_p$-extension of $\mathbb{Q}$. The (algebraic) \emph{$μ$-invariant} of $Sel_{p^\infty}(\mathbb{Q}_\infty, E)$ is denoted $μ_p(E)$. Denote by $\barρ_{E, p}:Gal(\bar{\mathbb{Q}}/\mathbb{Q})\rightarrow GL_2(\mathbb{Z}/p\mathbb{Z})$ the Galois representati…

This https://arxiv.org/abs/2505.15724 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_hept…

Gravitational Bremsstrahlung in Black-Hole Scattering at $\mathcal{O}(G^3)$: Quadratic-in-Spin Effects
We are employing a supersymmetric variant of the worldline quantum field theory (WQFT) formalism to compute the far-field momentum-space gravitational waveform emitted during the scattering of two spinning black holes at next-to-leading order (NLO) in the post-Minkowskian expansion. Our results are accurate up to quadratic-in-spin contributions, which means we report for the very first time the waveform observable at the order $\mathcal{O}(G^3\mathcal{S}^2)$. Our computation is based on mapping…

On a class of quasi-Hermitian surfaces in even characteristic
Angela Aguglia, Alessandro Montinaro
https://arxiv.org/abs/2508.03907 https://arxiv.org/pdf/2…

On a class of quasi-Hermitian surfaces in even characteristic
In [1], a new quasi-Hermitian variety $\mathcal{H}_\varepsilon^r$ in $\mathrm{PG}(r, q^2)$, with $q = 2^e$ and $e \geq 3$ an odd integer, was constructed. The variety depends on a primitive element $\varepsilon$ of the underlying field $\mathrm{GF}(q^2)$.11 In the present paper, we first provide a classification of such varieties up to projective equivalence in finite projective spaces of arbitrary dimension. Then, we focus on the case $r = 3$ and study the structure of the lines contained in…

Efficient Multi-Slide Visual-Language Feature Fusion for Placental Disease Classification
Hang Guo, Qing Zhang, Zixuan Gao, Siyuan Yang, Shulin Peng, Xiang Tao, Ting Yu, Yan Wang, Qingli Li
https://arxiv.org/abs/2508.03277

Efficient Multi-Slide Visual-Language Feature Fusion for Placental Disease Classification
Accurate prediction of placental diseases via whole slide images (WSIs) is critical for preventing severe maternal and fetal complications. However, WSI analysis presents significant computational challenges due to the massive data volume. Existing WSI classification methods encounter critical limitations: (1) inadequate patch selection strategies that either compromise performance or fail to sufficiently reduce computational demands, and (2) the loss of global histological context resulting fr…

This https://arxiv.org/abs/2410.10884 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

On evaluation of the lattice sum $\frac{1}{|x||y||x+y|}$
We study lattice sums $\sum 1/|x||y||x+y|$ and $\sum 1/|x|^2|y|^2|x+y|^2$ taken over the pairs $(x,y)$ of primitive lattice vectors in $\ZZ^2$ that span a parallelogram of area one. We prove convergence of these and similar sums, propose a new method to evaluate $\sum 1/|x|^2|y|^2|x+y|^2$, which, in turn, gives a new and simple proof of Zagier's formula for $D_{1,1,1}$.

When Cars Have Stereotypes: Auditing Demographic Bias in Objects from Text-to-Image Models
Dasol Choi Jihwan Lee, Minjae Lee, Minsuk Kahng
https://arxiv.org/abs/2508.03483 https…

When Cars Have Stereotypes: Auditing Demographic Bias in Objects from Text-to-Image Models
While prior research on text-to-image generation has predominantly focused on biases in human depictions, we investigate a more subtle yet pervasive phenomenon: demographic bias in generated objects (e.g., cars). We introduce SODA (Stereotyped Object Diagnostic Audit), a novel framework for systematically measuring such biases. Our approach compares visual attributes of objects generated with demographic cues (e.g., "for young people'') to those from neutral prompts, across 2,700 images produce…

Replaced article(s) found for math.CO. https://arxiv.org/list/math.CO/new
[2/2]:
- When are quarnets sufficient to reconstruct semi-directed phylogenetic networks?
Katharina T. Huber, Leo van Iersel, Mark Jones, Vincent Moulton, Leonie Veenema - Nipius

Narayana numbers that are products of two Fibonacci numbers
Japhet Odjoumani
https://arxiv.org/abs/2508.02688 https://arxiv.org/pdf/2508.02688

Narayana numbers that are products of two Fibonacci numbers
Let $\{N_m\}_{m\ge0}$ be the Narayana's cows sequence given by $N_0=0$, $N_1=1=N_2=1$ and \[ N_{m+3}=N_{m+2}+N_m,\quad \text{ for }\; m\geq 0 \] and let $\{F_n\}_{n\ge0}$ be the Fibonacci sequence. In this paper we solve explicitely the Diophantine equation \[ N_m=F_nF_k, \] in positive unknowns $m,\,n$ and $k$. That is, we find the non-zero narayana numbers that are products of two Fibonacci numbers.

Connectedness of independence attractors of graphs with independence number three
Moumita Manna, Tarakanta Nayak
https://arxiv.org/abs/2508.04083 https://a…

Connectedness of independence attractors of graphs with independence number three
An independent set in a simple graph $G$ is a set of pairwise non-adjacent vertices in $G$. The independence polynomial of $G$, denoted by $I_G$ is defined as $1 + a_1 z + a_2 z^2+\cdots+a_d z^{d}$, where $a_i$ denotes the number of independent sets with cardinality $i$ and $d$ is the cardinality of a largest independent set in $G$. This $d$ is known as the independence number of $G$. Let $G^m$ denote the $m$-times lexicographic product of $G$ with itself. The independence attractor of $G$, den…

This https://arxiv.org/abs/2506.01870 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Various irrational series involving binomial coefficients
Motivated by Galois theory, we propose some new irrational series of Ramanujan's type or Zeilberger's type. For example, we conjecture that \begin{equation*}\sum_{k=1}^\infty\frac{\binom{2k}k^2\binom{4k}{2k}}{(84-32\sqrt6)^{4k}} \left(280k+5\sqrt6+26\right)=\frac3π(2\sqrt3+33\sqrt2) \end{equation*} and \begin{align*}&\sum_{k=1}^\infty\frac{(27(37102-15147\sqrt6))^k}{k^3\binom{2k}k^2\binom{3k}k} \left(9k(11\sqrt6+51)-2(19\sqrt6+54)\right) \\&\qquad=\frac{5625}2\left(\sqrt6 L_{-24}(2)-3G\r…

Redefining Euler-Rabinowitsch Polynomials with Heegner Number Based Quadratic Formulation
Sudarshan Kumaresan, Shipra Kumari, Neha Mishra
https://arxiv.org/abs/2508.02821 https:…

Redefining Euler-Rabinowitsch Polynomials with Heegner Number Based Quadratic Formulation
This paper introduces a novel class of prime-generating quadratic polynomials defined by $f_{Z,k,H}(n) = n^2 - (2Zk - 1)n + \frac{(2Zk - 1)^2 + H}{4}$, where $Zk \in \mathbb{Z}_{\geq 0}$ and $H$ belongs to the set of Heegner numbers. This form is closely related to the Euler-Rabinowitsch polynomials through specific substitutions. The structure enables algebraic tuning for prime-rich outputs and provides deeper insight into the impact of Heegner numbers on prime distribution. Using tools such a…

Decoupling via Affine Spectral-Independence: Beck-Fiala and Koml\'os Bounds Beyond Banaszczyk
Nikhil Bansal, Haotian Jiang
https://arxiv.org/abs/2508.03961 https://

Decoupling via Affine Spectral-Independence: Beck-Fiala and Komlós Bounds Beyond Banaszczyk
The Beck-Fiala Conjecture [Discrete Appl. Math, 1981] asserts that any set system of $n$ elements with degree $k$ has combinatorial discrepancy $O(\sqrt{k})$. A substantial generalization is the Komlós Conjecture, which states that any $m \times n$ matrix with unit length columns has discrepancy $O(1)$. In this work, we resolve the Beck-Fiala Conjecture for $k \geq \log^2 n$. We also give an $\widetilde{O}(\sqrt{k} + \sqrt{\log n})$ bound for $k \leq \log^2 n$, where $\widetilde{O}(\cdot)$ h…

Notes and computations on forbidden differences
Christian Dean, Haley Havard, Elizabeth Hawkins, Patch Heard, Andrew Lott, Alex Rice
https://arxiv.org/abs/2508.03650 https://

Notes and computations on forbidden differences
We explore from several perspectives the following question: given $X\subseteq \mathbb{Z}$ and $N\in \mathbb{N}$, what is the maximum size $D(X,N)$ of $A\subseteq \{1,2,\dots,N\}$ before $A$ is forced to contain two distinct elements that differ by an element of $X$? The set of forbidden differences, $X$, is called \textit{intersective} if $D(X,N)=o(N)$, with the most well-studied examples being $X=S=\{n^2: n\in \mathbb{N}\}$ and $X=\mathcal{P}-1=\{p-1: p\text{ prime}\}$. In addition to some ne…

Well-hued graphs with first difference two
Geoffrey Boyer, Kirsti Kuenzel, Jeremy Lyle, Ryan Pellico
https://arxiv.org/abs/2506.04993 https://

Well-hued graphs with first difference two
A graph $G$ is said to be well-hued if every maximal $k$-colorable subgraph of $G$ has the same order $a_k$. Therefore, if $G$ is well-hued, we can associate with $G$ a sequence $\{a_k\}$. Necessary and sufficient conditions were given as to when a sequence $\{a_k\}$ is realized by a well-hued graph. Further, it was conjectured there is only one connected well-hued graph with $a_2 = a_1 + 2$ for every $a_1 \ge 4$. In this paper, we prove this conjecture as well as characterize nearly all well-h…