Tootfinder

Autonomous Aerial Manipulation at Arbitrary Pose in SE(3) with Robust Control and Whole-body Planning
Dongjae Lee, Byeongjun Kim, H. Jin Kim
https://arxiv.org/abs/2508.19608 htt…

Autonomous Aerial Manipulation at Arbitrary Pose in SE(3) with Robust Control and Whole-body Planning
Aerial manipulators based on conventional multirotors can conduct manipulation only in small roll and pitch angles due to the underactuatedness of the multirotor base. If the multirotor base is capable of hovering at arbitrary orientation, the robot can freely locate itself at any point in $\mathsf{SE}(3)$, significantly extending its manipulation workspace and enabling a manipulation task that was originally not viable. In this work, we present a geometric robust control and whole-body motion …

Cycles of Length 4 or 8 in Graphs with Diameter 2 and Minimum Degree at Least 3
Avery Carr
https://arxiv.org/abs/2508.19302 https://arxiv.org/pdf/2508.1930…

Cycles of Length 4 or 8 in Graphs with Diameter 2 and Minimum Degree at Least 3
In this short note it is shown that every graph of diameter 2 and minimum degree at least 3 contains a cycle of length 4 or 8. This result contributes to the study of the Erdős--Gyárfás Conjecture.

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[3/3]:
- LLM-based feature generation from text for interpretable machine learning
Vojt\v{e}ch Balek, Luk\'a\v{s} S\'ykora, Vil\'em Sklen\'ak, Tom\'a\v{s} Kliegr

william burroughs's "a thanksgiving prayer" (1986), as rendered in mondo 2000 #3. https://archive.org/details/Mondo.2000.Issue.03.1991/page/n9/mode/2up

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/4]:
- Pseudo-Simulation for Autonomous Driving
Wei Cao, et al.
https://

X-ray view of a massive node of the Cosmic Web at z=3 II. Discovery of extended X-ray emission around a hyperluminous QSO
Andrea Travascio, Sebastiano Cantalupo, Gabriele Pezzulli, Paolo Tozzi, Luca Di Mascolo, Michela Esposito, Titouan Lazeyras, Marika Lepore, Stefano Borgani, Martin Elvis, Giuseppina Fabbiano, Marta Galbiati, Nicholas Ledos, Riccardo Middei, Antonio Pensabene, Enrico Piconcelli, Giada Quadri, Fabio Vito, Weichen Wang, Luca Zappacosta

X-ray view of a massive node of the Cosmic Web at z=3 II. Discovery of extended X-ray emission around a hyperluminous QSO
While the warm, ionized gas in the CGM at z>3 is now routinely observed around bright QSOs in Lya emission, little is known about the CGM hot phase due to its expected faintness in the X-ray band, often referred to as the ICM. Here, we report the analysis of 634 ks of Chandra X-ray observations in the MQN01 Cosmic Node, a region containing one of the brightest Lya nebulae and the largest galaxy overdensity discovered so far at z>3. We detect 66 net counts of X-ray emission in the 0.5-2 keV band…

Should LLMs be WEIRD? Exploring WEIRDness and Human Rights in Large Language Models
Ke Zhou, Marios Constantinides, Daniele Quercia
https://arxiv.org/abs/2508.19269 https://

Should LLMs be WEIRD? Exploring WEIRDness and Human Rights in Large Language Models
Large language models (LLMs) are often trained on data that reflect WEIRD values: Western, Educated, Industrialized, Rich, and Democratic. This raises concerns about cultural bias and fairness. Using responses to the World Values Survey, we evaluated five widely used LLMs: GPT-3.5, GPT-4, Llama-3, BLOOM, and Qwen. We measured how closely these responses aligned with the values of the WEIRD countries and whether they conflicted with human rights principles. To reflect global diversity, we compar…

Equivariant rationality of Fano threefolds in the family \textnumero 2.12
Oliver Li, Joseph Malbon, Antoine Pinardin
https://arxiv.org/abs/2508.19471 https://

Equivariant rationality of Fano threefolds in the family \textnumero 2.12
We prove that a faithful group action on the smooth complete intersection $X$ of three divisors of bidegree $(1,1)$ in $\p^3\times\p^3$ is linearisable if and only if $\rk(\pic^G(X))\ne1$.

[2025-08-28 Thu (UTC), 3 new articles found for stat.ML Machine Learning]
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Just Dork and Crawl: Measuring Illegal Online Gambling Defacement in Indonesian Websites
Luqman Muhammad Zagi, Girindro Pringgo Digdo, Wervyan Shalannanda
https://arxiv.org/abs/2508.19368

Just Dork and Crawl: Measuring Illegal Online Gambling Defacement in Indonesian Websites
This study investigates the defacement of Indonesian websites by actors promoting illegal online gambling. Using a lightweight methodology that combines keyword-driven dorking with systematic crawling, we identified 453 defaced webpages within one month. Although dorking alone yielded a false positive rate of approximately 20.3\%, the integration of crawling and keyword-counting enabled reliable differentiation between true and false positives. Our measurements revealed diverse defacement behav…

Asymptotically optimal unitary estimation in $\mathrm{SU}(3)$ by the analysis of graph Laplacian
Satoshi Yoshida, Hironobu Yoshida, Mio Murao
https://arxiv.org/abs/2509.20608 ht…

Asymptotically optimal unitary estimation in $\mathrm{SU}(3)$ by the analysis of graph Laplacian
Unitary estimation is the task to estimate an unknown unitary operator $U\in\mathrm{SU}(d)$ with $n$ queries to the corresponding unitary operation, and its accuracy is evaluated by an estimation fidelity. We show that the optimal asymptotic fidelity of $3$-dimensional unitary estimation is given by $F_\mathrm{est}(n,d=3) = 1-\frac{56π^2}{9n^2} + O(n^{-3})$ by the analysis of the graph Laplacian based on the finite element method. We also show the lower bound on the fidelity of $d$-dimensional…

Limited Preemption of the 3-Phase Task Model using Preemption Thresholds
Thilanka Thilakasiri, Matthias Becker
https://arxiv.org/abs/2508.19760 https://arx…

Limited Preemption of the 3-Phase Task Model using Preemption Thresholds
Phased execution models are a well-known solution to tackle the unpredictability of today's complex COTS multi-core platforms. The semantics of these models dedicate phases for a task's execution and shared memory accesses. Memory phases are solely dedicated to load all necessary instructions and data to private local memory, and to write back the results of the computation. During execution phases, only the private local memory is accessed. While non-preemptive execution phases utilize the loc…

Exploring Paper as a Material: Plotting the Design Space of The Fabrication for Dynamic Paper-Based Interactions
Ruhan Yang, Ellen Yi-Luen Do
https://arxiv.org/abs/2508.19407 ht…

Exploring Paper as a Material: Plotting the Design Space of The Fabrication for Dynamic Paper-Based Interactions
We reviewed 43 papers to understand the fabrication of dynamic paper-based interactions. We used a design space to classify tool selection, technique choice, and exploration of paper as a material. We classified 9 dimensions for the design space, including 4 dimensions for tools (precision, accommodation, complexity, and availability), 3 dimensions for techniques (cutting techniques, folding techniques, and integration techniques), and 2 dimensions for paper as the material (paper weight and pa…

Replaced article(s) found for math.GT. https://arxiv.org/list/math.GT/new
[1/1]:
- A presentation for the category of $sl(3)$ webs and an extension of the quantum $sl(3)$-invariant...
Nipun Amarasinghe

A Sentinel-3 foundation model for ocean colour
Geoffrey Dawson, Remy Vandaele, Andrew Taylor, David Moffat, Helen Tamura-Wicks, Sarah Jackson, Rosie Lickorish, Paolo Fraccaro, Hywel Williams, Chunbo Luo, Anne Jones
https://arxiv.org/abs/2509.21273

A Sentinel-3 foundation model for ocean colour
Artificial Intelligence (AI) Foundation models (FMs), pre-trained on massive unlabelled datasets, have the potential to drastically change AI applications in ocean science, where labelled data are often sparse and expensive to collect. In this work, we describe a new foundation model using the Prithvi-EO Vision Transformer architecture which has been pre-trained to reconstruct data from the Sentinel-3 Ocean and Land Colour Instrument (OLCI). We evaluate the model by fine-tuning on two downstrea…

No-go theorem for single time-reversal invariant symmetry-protected Dirac fermions in 3 1d
Lei Gioia, Anton A. Burkov, Taylor L. Hughes
https://arxiv.org/abs/2508.19329 https://…

No-go theorem for single time-reversal invariant symmetry-protected Dirac fermions in 3+1d
We employ a general method, known as anomaly-matching, to derive new no-go theorems of fermionic lattice models. For our main result, we show that time-reversal invariant 3+1d lattice systems (such as Dirac and Weyl semimetals) can never admit a lone low-energy symmetry-protected Dirac fermion (or node), i.e., it must always come in higher muliplets or be fine-tuned. This theorem holds for both non-interacting and interacting systems as long as the electromagnetic $U(1)_{V,{\rm UV}}$ symmetry i…

[2025-08-28 Thu (UTC), 3 new articles found for cs.CC Computational Complexity]
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[2025-08-28 Thu (UTC), 3 new articles found for stat.ME Methodology]
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Quantitative stability for the conformally invariant Chang-Gui inequality on the exponentiation of functions on the sphere
Monideep Ghosh, Debabrata Karmakar
https://arxiv.org/abs/2508.19930

Quantitative stability for the conformally invariant Chang-Gui inequality on the exponentiation of functions on the sphere
In this work, we focus on a recent variant of the Trudinger-Moser-Onofri inequality introduced by S. Y. Alice Chang and Changfeng Gui \cite{CG-2023}: \begin{align*} α\int_{\mathbb{S}^2}|\nabla_{\mathbb{S}^2}u|^2 {\rm d}ω+2 \int_{\mathbb{S}^2} u {\rm d}ω-\frac{1}{2}\ln\left[\left(\int_{\mathbb{s}^2}e^{2u}{\rm d}ω\right)^2-\sum_{i=1}^3\left(\int_{\mathbb{s}^2}ω_i e^{2u}{\rm d} ω\right)^2\right] \geq 0 \end{align*} holds on $H^1(\mathbb{S}^2)$ if and only if $α\geq \frac{2}{3}$. I…

Convergence rate of $\ell^p$-energy minimization on graphs: sharp polynomial bounds and a phase transition at $p=3$
Gideon Amir, Fedor Nazarov, Yuval Peres
https://arxiv.org/abs/2508.19411

Convergence rate of $\ell^p$-energy minimization on graphs: sharp polynomial bounds and a phase transition at $p=3$
We consider the following dynamics on a connected graph $(V,E)$ with $n$ vertices. Given $p>1$ and an initial opinion profile $f_0:V \to [0,1]$, at each integer step $t \ge 1$ a uniformly random vertex $v=v_t$ is selected, and the opinion there is updated to the value $f_{t}(v)$ that minimizes the sum $\sum_{w \sim v} |f_t(v)-f_{t-1}(w)|^p$ over neighbours $w$ of $v$. The case $p=2$ yields linear averaging dynamics, but for all $p \ne 2$ the dynamics are nonlinear. In the limiting cas…

Frame Vector Group Representations and Amenability Properties
Dorin Ervin Dutkay, Catalin Georgescu, Gabriel Picioroaga
https://arxiv.org/abs/2508.20061 https://

Frame Vector Group Representations and Amenability Properties
We provide a new characterization of amenability for countable groups, based on frame representations admitting almost invariant vectors. By relaxing the frame inequalities, thereby weakening amenability, we obtain a large class of countable groups which we call {\it framenable}. We show that this class has some permanence properties, stands in contrast with property (T), and contains, for example, all free groups $\mathbb{F}_n$, $\textup{Aut}(\mathbb{F}_2)$ and $\textup{Aut}(\mathbb{F}_3)$, al…

Scalar-induced gravitational waves in spatially covariant gravity
Jiehao Jiang, Jieming Lin, Xian Gao
https://arxiv.org/abs/2508.20000 https://arxiv.org/pd…

Scalar-induced gravitational waves in spatially covariant gravity
We investigate scalar-induced gravitational waves (SIGWs) in the framework of spatially covariant gravity (SCG), a broad class of Lorentz-violating modified gravity theories respecting only spatial diffeomorphism invariance. Extending earlier SCG formulations, we compute the general kernel function for SIGWs on a flat Friedmann-Lemaître-Robertson-Walker background, focusing on polynomial-type SCG Lagrangians up to $d=3$, where $d$ denotes the total number of derivatives in each monomial. We de…

Study of low-energy electron-induced dissociation of 1-Propanol
Soumya Ghosh, Dipayan Chakraborty, Anirban Paul, Dhananjay Nandi
https://arxiv.org/abs/2508.19685 https://…

Study of low-energy electron-induced dissociation of 1-Propanol
The fragmentation of 1-propanol resulting from dissociative electron attachment has been explored across an energy range of 3.5 to 16 eV. Four distinct ion species are identified: $\text{H}^{-}$, $\text{O}^{-}$, $\text{OH}^{-}$, and $\text{C}_{3}\text{H}_{7}\text{O}^{-}$. The $\text{OH}^{-}$ ion exhibited a prominent peak near 8.7 eV, along with a small hump near 5.6 eV. Complementary channels led to the formation of the $\text{H}^{-}$ and $\text{C}_{3}\text{H}_{7}\text{O}^{-}$ ions. Both these…

Probe the missing baryons in cosmic filaments with Fast Radio Bursts
Jian-Feng Mo, Weishan Zhu, Qi-Rui Yang, Yi Zheng, Long-Long Feng
https://arxiv.org/abs/2508.19861 https://…

Probe the missing baryons in cosmic filaments with Fast Radio Bursts
Cosmic filaments are thought to host a substantial fraction of the missing baryons at redshifts $z<2$. In this study, we probe the baryonic content of these filaments using localized Fast Radio Bursts (FRBs). Filaments are identified from the galaxy distribution in the Dark Energy Spectroscopic Instrument (DESI) imaging surveys using the DisPerSe algorithm. We find tentative evidence ($\sim 3 σ$ significance) for a divergence in the relationship between the dispersion measure (DM) contributed …

First observation of the Josephson-Anderson relation in experiments on hydrodynamic drag
Nicola Savelli, Ali R Khojasteh, Abel-John Buchner, Jerry Westerweel, Willem van de Water
https://arxiv.org/abs/2508.19824

First observation of the Josephson-Anderson relation in experiments on hydrodynamic drag
We verify a recent prediction (Eq. 3.50 in G. L. Eyink, Phys. Rev. X 11, 031054 (2021)) for the drag on an object moving through a fluid. In this prediction the velocity field is decomposed into a nonvortical (potential) and vortical contribution, and so is the associated drag force. In the Josephson-Anderson relation the vortical contribution of the drag force follows from the flux of vorticity traversing the streamlines of the corresponding potential flow. The potential component is directly …

[2025-08-28 Thu (UTC), 3 new articles found for math.RT Representation Theory]
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Mathematical Analysis 1
Martin Klazar
https://arxiv.org/abs/2508.19405 https://arxiv.org/pdf/2508.19405

Mathematical Analysis 1
Preliminary version of a course in univariate real analysis, with 14 chapters and 1 appendix (Ch1--Ch8 complete at present). 1. Infinite sums. Real numbers; 2. Limits of sequences and subsequences; 3. Arithmetic of limits. AK series; 4. Infinite series. Elementary functions; 5. Limits of functions. Asymptotic notation; 6. Continuous functions; 7. Derivatives; 8. Applications of mean value theorems; 9. Taylor polynomials and series. Real analytic functions; 10. Primitives of uniformly continuous…

Replaced article(s) found for astro-ph.IM. https://arxiv.org/list/astro-ph.IM/new
[1/1]:
- Estimating the dense gas mass of molecular clouds using spatially unresolved 3 mm line observations
Antoine Zakardjian, et al.

Examples of diameter-2 graphs with no triangle or $K_{2,t}$
Sean Eberhard, Vladislav Taranchuk, Craig Timmons
https://arxiv.org/abs/2508.19646 https://arxi…

Examples of diameter-2 graphs with no triangle or $K_{2,t}$
For each $t \ge 1$ let $W_t$ denote the class of graphs other than stars that have diameter $2$ and contain neither a triangle nor a $K_{2,t}$. The famous Hoffman--Singleton Theorem implies that $W_2$ is finite. Recently Wood suggested the study of $W_t$ for $t > 2$ and conjectured that $W_t$ is finite for all $t \ge 2$. In this note we show that (1) $W_3$ is infinite, (2) $W_5$ contains infinitely many regular graphs, and (3) $W_7$ contains infinitely many Cayley graphs. Our $W_3$ and $W_5$ ex…

Generalization of the Fisher metric and Completely integrable system on Lie groups SO(2) and SO(3)
Prosper Rosaire Mama Assandje, Michel Bertrand Djiadeu Ngaha, Romain Nimpa Pefoukeu, Salomon Joseph Mbatakou
https://arxiv.org/abs/2509.20910

Generalization of the Fisher metric and Completely integrable system on Lie groups SO(2) and SO(3)
In this article, we propose a generalization of the Fisher metric within the framework of Souriau's Lie group thermodynamics, focusing on the rotation groups $SO(2)$ and $SO(3)$. We characterize the effect of central 2-cocycles on the information geometry and integrability of gradient systems on the Lie groups SO(2) and SO(3) using the geometry of Jean-Marie Souriau. We also show how a cocycle can locally modify the Fisher metric on a coadjoint orbit, in explicit terms of brackets and central e…

Small-$b$ expansion of the DOZZ formula for light operators
Franco Ferrari, Marcin R. Piatek, Artur R. Pietrykowski
https://arxiv.org/abs/2509.21182 https://

Small-$b$ expansion of the DOZZ formula for light operators
We present a systematic small-$b$ expansion of the Liouville DOZZ three-point structure constant in the light-operator regime $α_i = bσ_i$ as $b\to 0$. In this limit, the exact DOZZ function factorizes into a prefactor $\mathcal{P}(b;σ_1,σ_2,σ_3)$ and a power series in $b^2$, \[ C(bσ_1,bσ_2,bσ_3) =\mathcal{P}(b;σ_i)\Bigl[1+\sum_{n=1}^\infty b^{2n}\,Ω_n(σ_1,σ_2,σ_3)\Bigr]. \] Using Thorn's asymptotic expansion of the $Υ_b$-function, we derive closed-form expressions for the leading…

[2025-08-28 Thu (UTC), 3 new articles found for cs.MA Multiagent Systems]
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[2025-08-28 Thu (UTC), 3 new articles found for physics.plasm-ph Plasma Physics]
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Replaced article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[3/8]:
- Bridging Arbitrary and Tree Metrics via Differentiable Gromov Hyperbolicity
Pierre Houedry, Nicolas Courty, Florestan Martin-Baillon, Laetitia Chapel, Titouan Vayer

Fundamental theorem of Poisson 3-Lie $(A,H)$-Hopf modules
Daowei Lu, Dingguo Wang
https://arxiv.org/abs/2509.20670 https://arxiv.org/pdf/2509.20670

Fundamental theorem of Poisson 3-Lie $(A,H)$-Hopf modules
Let $H$ be a Hopf algebra with a bijective antipode and $A$ an $H$-comodule Poisson 3-Lie algebra. Assume that there exists an $H$-colinear map which is also an algebra map from $H$ to the Poisson center of $A$. In this paper we generalize the fundamental theorem of $(A, H)$-Hopf modules to Poisson 3-Lie $(A, H)$-Hopf modules and deduce relative projectivity in the category of Poisson 3-Lie $(A, H)$-Hopf modules.

Replaced article(s) found for nlin.CD. https://arxiv.org/list/nlin.CD/new
[1/1]:
- Predicting Forced Responses of Probability Distributions via the Fluctuation-Dissipation Theorem ...
Ludovico T. Giorgini, Fabrizio Falasca, Andre N. Souza

[2025-09-26 Fri (UTC), 3 new articles found for cs.LO Logic in Computer Science]
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[2025-08-28 Thu (UTC), 3 new articles found for math.FA Functional Analysis]
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Crosslisted article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/7]:
- AT-CXR: Uncertainty-Aware Agentic Triage for Chest X-rays
Xueyang Li, Mingze Jiang, Gelei Xu, Jun Xia, Mengzhao Jia, Danny Chen, Yiyu Shi

Replaced article(s) found for physics.gen-ph. https://arxiv.org/list/physics.gen-ph/new
[1/1]:
- A Set-Matrix Duality Principle for the Dirac Equation
Rasulkhozha S. Sharafiddinov

Replaced article(s) found for physics.class-ph. https://arxiv.org/list/physics.class-ph/new
[1/1]:
- Effective potential of a spinning heavy symmetric top when magnitudes of conserved angular moment...
Vedat Tanr{\i}verdi

\LARGE GMP$^{3}$: Learning-Driven, Bellman-Guided Trajectory Planning for UAVs in Real-Time on SE(3)
Babak Salamat, Dominik Mattern, Sebastian-Sven Olzem, Gerhard Elsbacher, Christian Seidel, Andrea M. Tonello
https://arxiv.org/abs/2509.21264

\LARGE GMP$^{3}$: Learning-Driven, Bellman-Guided Trajectory Planning for UAVs in Real-Time on SE(3)
We propose $\text{GMP}^{3}$, a multiphase global path planning framework that generates dynamically feasible three-dimensional trajectories for unmanned aerial vehicles (UAVs) operating in cluttered environments. The framework extends traditional path planning from Euclidean position spaces to the Lie group $\mathrm{SE}(3)$, allowing joint learning of translational motion and rotational dynamics. A modified Bellman-based operator is introduced to support reinforcement learning (RL) policy updat…

Crosslisted article(s) found for cond-mat.mes-hall. https://arxiv.org/list/cond-mat.mes-hall/new
[1/1]:
- No-go theorem for single time-reversal invariant symmetry-protected Dirac fermions in 3 1d
Lei Gioia, Anton A. Burkov, Taylor L. Hughes

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[2/3]:
- Refining Czech GEC: Insights from a Multi-Experiment Approach
Petr Pechman, Milan Straka, Jana Strakov\'a, Jakub N\'aplava

[2025-08-28 Thu (UTC), 3 new articles found for physics.comp-ph Computational Physics]
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Tight Quantum-Security Bounds and Parameter Optimization for SPHINCS and NTRU
Ruopengyu Xu, Chenglian Liu
https://arxiv.org/abs/2508.19250 https://arxiv.o…

Tight Quantum-Security Bounds and Parameter Optimization for SPHINCS+ and NTRU
The imminent threat of quantum computing necessitates quantum-resistant cryptosystems. This paper establishes tight security bounds for two NIST PQC finalists: SPHINCS+ (hash-based) and NTRU (lattice-based). Our key contributions include: (1) A quantum attack model incorporating decoherence effects ($τ_d$) and parallelization limits; (2) Improved entropy concentration inequalities reducing SPHINCS+ parameters by 15-20\%; (3) Optimized NTRU lattice parameters via quantum lattice entropy $H_Q(Λ…

Uniaxial negative thermal expansion in a weak-itinerant-ferromagnetic phase of CoZr$_{2}$H$_{3.49}$
Yuto Watanabe, Kota Suzuki, Takayoshi Katase, Akira Miura, Aichi Yamashita, Yoshikazu Mizuguchi
https://arxiv.org/abs/2509.20765

Uniaxial negative thermal expansion in a weak-itinerant-ferromagnetic phase of CoZr$_{2}$H$_{3.49}$
We discovered unique uniaxial negative thermal expansion (NTE) behavior for a weak-itinerant-ferromagnetic phase of CoZr$_{2}$H$_{3.49}$. CoZr$_{2}$ is known as a superconductor exhibiting uniaxial NTE along the $c$-axis, which is called anomalous thermal expansion (ATE). Additionally, CoZr$_{2}$ is also known as a well-absorbent of hydrogen, and hydrogen insertion raises weak-itinerant ferromagnetism instead of superconductivity. However, the influence of hydrogen insertion on ATE behavior in …

[2025-09-26 Fri (UTC), 3 new articles found for math.AT Algebraic Topology]
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[2025-09-26 Fri (UTC), 3 new articles found for math-ph Mathematical Physics]
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Ranking Week 3 fantasy football winners and losers and injury impacts from Sunday https://www.espn.com/fantasy/football/story/_/page/FFSundayHighLows-46336184/nfl-week-3-fantasy-football-winners-losers-i…

FORGE: Forming Semantic Identifiers for Generative Retrieval in Industrial Datasets
Kairui Fu, Tao Zhang, Shuwen Xiao, Ziyang Wang, Xinming Zhang, Chenchi Zhang, Yuliang Yan, Junjun Zheng, Yu Li, Zhihong Chen, Jian Wu, Xiangheng Kong, Shengyu Zhang, Kun Kuang, Yuning Jiang, Bo Zheng
https://arxiv.org/abs/2509.20904

FORGE: Forming Semantic Identifiers for Generative Retrieval in Industrial Datasets
Semantic identifiers (SIDs) have gained increasing attention in generative retrieval (GR) due to their meaningful semantic discriminability. However, current research on SIDs faces three main challenges: (1) the absence of large-scale public datasets with multimodal features, (2) limited investigation into optimization strategies for SID generation, which typically rely on costly GR training for evaluation, and (3) slow online convergence in industrial deployment. To address these challenges, w…

Small solutions of ternary quadratic congruences with averaging over the moduli
Stephan Baier, Aishik Chattopadhyay
https://arxiv.org/abs/2509.16980 https://

Small solutions of ternary quadratic congruences with averaging over the moduli
In a recent paper, we proved that for any large enough odd modulus $q\in \mathbb{N}$ and fixed $α_2\in \mathbb{N}$ coprime to $q$, the congruence \[ x_1^2+α_2x_2^2+α_3x_3^2\equiv 0 \bmod{q} \] has a solution of $(x_1,x_2,x_3)\in \mathbb{Z}^3$ with $x_3$ coprime to $q$ of height $\max\{|x_1|,|x_2|,|x_3|\}\le q^{11/24+\varepsilon}$ for, in a sense, almost all $α_3$, where $α_3$ runs over the reduced residue classes modulo $q$. Here it was of significance that $1…

Distinct orbital contributions to electronic and magnetic structures in La$_{4}$Ni$_{3}$O$_{10}$
Shilong Zhang, Hengyuang Zhang, Zehao Dong, Jie Li, Qian Xiao, Mengwu Huo, Hsiao-Yu Huang, Di-Jing Huang, Yayu Wang, Yi Lu, Zhen Chen, Meng Wang, Yingying Peng
https://arxiv.org/abs/2509.20727

Distinct orbital contributions to electronic and magnetic structures in La$_{4}$Ni$_{3}$O$_{10}$
High-T$_c$ superconductivity has recently been discovered in Ruddlesden-Popper phase nickelates under pressure, where the low-energy electronic structure is dominated by Ni $d_{x^2 - y^2}$ and $d_{z^2}$ orbitals. However, the respective roles of these orbitals in superconductivity remain unclear. Here, by combining X-ray absorption, electron energy loss spectroscopy, and density functional theory calculations on La$_{4}$Ni$_{3}$O$_{10}$ single crystals, we identify ligand holes in the $p_{x,y}$…

Impact of anisotropy on QCD phase structure and transport coefficients of quark matter
Dhananjay Singh, Arvind Kumar
https://arxiv.org/abs/2509.21186 https://

Impact of anisotropy on QCD phase structure and transport coefficients of quark matter
Employing the Polyakov chiral SU(3) mean field (PCQMF) model, we investigate how momentum-space anisotropy, characteristic of quark-gluon plasma (QGP) in ultrarelativistic heavy-ion collisions (uRHIC), impacts the thermodynamic behavior and transport coefficients of strongly interacting quark matter. The momentum anisotropy is introduced via a small deformation in the momentum distribution, quantified by a spheroidal parameter $ξ$, which deforms the distribution functions and captures anisotro…

Polycyclic aromatic hydrocarbon (PAH) abundances in the disk around T Chamaeleontis (T Cha): PAH sizes, ionization fraction, and mass during JWST observations
Rahul Bandyopadhyay (Departamento de Astronom\'ia, Universidad de Chile, Santiago, Chile, Millennium Nucleus on Young Exoplanets and their Moons), Simon Casassus (Departamento de Astronom\'ia, Universidad de Chile, Santiago, Chile, Data Observatory Foundation, Santiago, Chile)

Polycyclic aromatic hydrocarbon (PAH) abundances in the disk around T Chamaeleontis (T Cha): PAH sizes, ionization fraction, and mass during JWST observations
The T Tauri star T Cha is known to have a protoplanetary disk with a dust gap separating the inner and outer disk regions. The mid-IR JWST spectrum of T Cha show multiple prominent aromatic infrared bands (AIBs) around 6.2, 8.1, and 11.3 $μ$m. AIBs are commonly accepted as the emission stemming from PAH molecules. We aim to characterize the PAHs giving rise to the AIBs observed in the JWST spectrum of T Cha. Our objective is to estimate the PAH abundances, in terms of their sizes, ionization f…

$SU(2)$-representations of Branched Covers
Sudipta Ghosh, Zhenkun Li, Juanita Pinz\'on-Caicedo
https://arxiv.org/abs/2508.19669 https://arxiv.org/pdf/2…

$SU(2)$-representations of Branched Covers
We study the existence of irreducible $SU(2)$-representations for cyclic branched covers of knots in $S^3$. Our main result establishes that if $K$ is a non-trivial prime knot and $d$ is an integer such that $d \geq 2$ and $Σ_d(K)$ is an integer homology sphere, then $π_1(Σ_d(K))$ admits an irreducible $SU(2)$-representation, whenever $K$ satisfies one of two conditions: either $K$ is $2$-periodic, or $K$ can be represented as the closure of a tangle adapted to a $d\times d$ SICUP matrix. Th…

Reliable Weak-to-Strong Monitoring of LLM Agents
Neil Kale, Chen Bo Calvin Zhang, Kevin Zhu, Ankit Aich, Paula Rodriguez, Scale Red Team, Christina Q. Knight, Zifan Wang
https://arxiv.org/abs/2508.19461

Reliable Weak-to-Strong Monitoring of LLM Agents
We stress test monitoring systems for detecting covert misbehavior in autonomous LLM agents (e.g., secretly sharing private information). To this end, we systematize a monitor red teaming (MRT) workflow that incorporates: (1) varying levels of agent and monitor situational awareness; (2) distinct adversarial strategies to evade the monitor, such as prompt injection; and (3) two datasets and environments -- SHADE-Arena for tool-calling agents and our new CUA-SHADE-Arena, which extends TheAgentCo…

The existence and upper bound for stable photon spheres in static spherically symmetric black holes
Yong Song, Jiaqi Fu, Yiting Cen
https://arxiv.org/abs/2508.19823 https://

The existence and upper bound for stable photon spheres in static spherically symmetric black holes
In this work, we establish the existence conditions and a universal upper bound on the radius of stable photon spheres (SPS) outside the event horizons of static, spherically symmetric, asymptotically flat black holes surrounded by matter fields. We prove that stable photon spheres exist if the external matter satisfies specific conditions. Furthermore, under the additional assumption of a monotonically decreasing mass-radius ratio $m(r)/r^3$ outside the horizon, we derive a strict upper bound …

Tight bounds for judicious 3-partitions of graphs
Peiru Kuang, Yan Wang
https://arxiv.org/abs/2509.20994 https://arxiv.org/pdf/2509.20994

Tight bounds for judicious 3-partitions of graphs
In this paper, we show that every graph with $m$ edges admits a 3-partition such that \[ \max_{1 \leq i \leq 3} e(V_i) \leq \frac{m}{9} + \frac{1}{9}h(m) \quad \text{and} \quad e(V_1, V_2, V_3) \geq \frac{2}{3}m + \frac{1}{3}h(m), \] where $h(m) = \sqrt{2m + 1/4} - 1/2$. This answers a problem of Bollobás and Scott affirmatively. We also solve several related problems of Bollobás and Scott. All of our results are tight.

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[1/3]:
- Cross-lingual Offensive Language Detection: A Systematic Review of Datasets, Transfer Approaches ...
Aiqi Jiang, Arkaitz Zubiaga

Maximal estimates for orthonormal systems of wave equations with sharp regularity
Hyerim Ko, Sanghyuk Lee, Shobu Shiraki
https://arxiv.org/abs/2508.19451 https://

Maximal estimates for orthonormal systems of wave equations with sharp regularity
We study maximal estimates for the wave equation with orthonormal initial data. In dimension $d=3$, we establish optimal results with the sharp regularity exponent up to the endpoint. In higher dimensions $d \ge 4$ and also in $d=2$, we obtain sharp bounds for the Schatten exponent (summability index) $β\in [2, \infty]$ when $d\ge4$, and $β\in[1, 2]$ when $d=2$, improving upon the previous estimates due to Kinoshita--Ko--Shiraki. Our approach is based on a novel analysis of a key integral ari…

Solidification estimates for random walks on supercritical percolation clusters
Alberto Chiarini, Zhizhou Liu, Maximilian Nitzschner
https://arxiv.org/abs/2508.19929 https://

Solidification estimates for random walks on supercritical percolation clusters
We consider the simple random walk on the infinite cluster of a general class of percolation models on $\mathbb{Z}^d$, $d\geq 3$, including Bernoulli percolation as well as models with strong, algebraically decaying correlations. For almost every realization of the percolation configuration, we obtain uniform controls on the absorption probability of a random walk by certain "porous interfaces" surrounding the discrete blow-up of a compact set $A$. These controls substantially generalize previo…

Crosslisted article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[3/4]:
- RecIS: Sparse to Dense, A Unified Training Framework for Recommendation Models
Hua Zong, et al.

Replaced article(s) found for cs.CV. https://arxiv.org/list/cs.CV/new
[3/4]:
- CNS-Bench: Benchmarking Image Classifier Robustness Under Continuous Nuisance Shifts
Olaf D\"unkel, Artur Jesslen, Jiahao Xie, Christian Theobalt, Christian Rupprecht, Adam Kortylewski

GIT stability and biquotients of $SU(3)$
Yoshinori Hashimoto, Hiroaki Ishida, Hisashi Kasuya
https://arxiv.org/abs/2509.20254 https://arxiv.org/pdf/2509.20…

GIT stability and biquotients of $SU(3)$
We study double-sided actions of $(\mathbb{C}^*)^2$ on $SL(3,\mathbb{C})/U$ and the associated quotients, where $U$ is a maximal unipotent subgroup of $SL(3,\mathbb{C})$. The main results of this paper are a sufficient condition for the double-sided quotient to agree with the quotient in terms of the geometric invariant theory (GIT), and an explicit necessary and sufficient condition for $SL(3,\mathbb{C})/U$ to agree with the $χ$-stable locus in its affine closure. We apply this result to char…

Sums of two nilpotent quaternionic matrices
Cl\'ement de Seguins Pazzis
https://arxiv.org/abs/2508.19627 https://arxiv.org/pdf/2508.19627

Sums of two nilpotent quaternionic matrices
Let $\mathcal{Q}$ be a quaternion division algebra over a field, and $n \geq 2$ be an integer. In a recent article, de La Cruz et al have proved that every $n$-by-$n$ matrix with entries in $\mathcal{Q}$ and pure quaternionic trace is the sum of three nilpotent matrices, and they have shown that some are not the sum of two nilpotent matrices. Here, we give a simple characterization of the square matrices with entries in $\mathcal{Q}$ that are the sum of two nilpotent ones. When $n \geq 3$, th…

Crosslisted article(s) found for nlin.CD. https://arxiv.org/list/nlin.CD/new
[1/1]:
- SNIC bifurcation and its Application to MEMS
Joshua Shay Kricheli
https://…

[2025-08-28 Thu (UTC), no new articles found for physics.gen-ph General Physics]
toXiv_bot_toot

Replaced article(s) found for physics.atm-clus. https://arxiv.org/list/physics.atm-clus/new
[1/1]:
- Symmetry-induced magnetism in fullerene monolayers
Jiaqi Wu, Leonard Werner Pingen, Timothy K. Dickens, Bo Peng

Crosslisted article(s) found for physics.class-ph. https://arxiv.org/list/physics.class-ph/new
[1/1]:
- Thermodynamics and stability of non-equilibrium steady states in open systems -- case study for c...
V\'it Pr\r{u}\v{s}a

On the chromatic numbers of Johnson type graphs
Danila Cherkashin
https://arxiv.org/abs/2508.19775 https://arxiv.org/pdf/2508.19775

On the chromatic numbers of Johnson type graphs
A Johnson type graph $J_{\pm}(n,k,t)$ is a graph whose vertex set consists of vectors from $\{-1,0,1\}^n$ of the length $\sqrt{k}$ and edges connect vertices with scalar product $t$. The paper determines the order of growth of the chromatic numbers of graphs $J_\pm(n,2,-1)$ and $J_\pm(n,3,-1)$ (logarithmic on $n$), and also $J_\pm(n,3,-2)$ (double logarithmic on $n$).

Principled Personas: Defining and Measuring the Intended Effects of Persona Prompting on Task Performance
Pedro Henrique Luz de Araujo, Paul R\"ottger, Dirk Hovy, Benjamin Roth
https://arxiv.org/abs/2508.19764

Principled Personas: Defining and Measuring the Intended Effects of Persona Prompting on Task Performance
Expert persona prompting -- assigning roles such as expert in math to language models -- is widely used for task improvement. However, prior work shows mixed results on its effectiveness, and does not consider when and why personas should improve performance. We analyze the literature on persona prompting for task improvement and distill three desiderata: 1) performance advantage of expert personas, 2) robustness to irrelevant persona attributes, and 3) fidelity to persona attributes. We then e…

Quantum Simulation and Energy Estimation for Discretized Anharmonic oscillator
Saurav Suman, Bikash K. Behera, Vivek Vyas, Prasanta k. Panigrahi
https://arxiv.org/abs/2509.20907

Quantum Simulation and Energy Estimation for Discretized Anharmonic oscillator
Anharmonic potential quantum system play crucial role in physics as they provide a more realistic description of oscillatory phenomena, which often deviate from the idealized harmonic model. However, simulating such system on classical computers is highly challenging due to nonlinear interactions, large state spaces, and the exponential scaling of memory and computational resources. In this work, quantum simulation is employed to model a quantum anharmonic oscillator (QAHO) using a 3-qubit syst…

pop-cosmos: Star formation over 12 Gyr from generative modelling of a deep infrared-selected galaxy catalogue
Sinan Deger, Hiranya V. Peiris, Stephen Thorp, Daniel J. Mortlock, Gurjeet Jagwani, Justin Alsing, Boris Leistedt, Joel Leja
https://arxiv.org/abs/2509.20430

pop-cosmos: Star formation over 12 Gyr from generative modelling of a deep infrared-selected galaxy catalogue
We study star formation over 12 Gyr using pop-cosmos, a generative model trained on 26-band photometry of 420,000 COSMOS2020 galaxies (IRAC Ch.1 $<26$). The model learns distributions over 16 SPS parameters via score-based diffusion, matching observed colours and magnitudes. We compute the star formation rate density (SFRD) to $z=3.5$ by directly integrating individual galaxy SFRs. The SFRD peaks at $z=1.3\pm0.1$, with peak value $0.08\pm0.01$ M$_{\odot}$ yr$^{-1}$ Mpc$^{-3}$. We classify star-…

Weak saturation numbers of large complete bipartite graphs
Margarita Akhmejanova, Ilya Vorobyev, Maksim Zhukovskii
https://arxiv.org/abs/2508.19435 https://

Weak saturation numbers of large complete bipartite graphs
An $n$-vertex graph $G$ is weakly $F$-saturated if $G$ contains no copy of $F$ and there exists an ordering of all edges in $E(K_n) \setminus E(G)$ such that, when added one at a time, each edge creates a new copy of $F$. The minimum size of a weakly $F$-saturated graph $G$ is called the weak saturation number $\mathrm{wsat}(n, F)$. We obtain exact values and new bounds for $\mathrm{wsat}(n, K_{s,t})$ in the previously unaddressed range $s+t < n < 3t-3$, where $3\leq s\leq t$. To prove lower bo…

The degrees of freedom of multiway junctions in three dimensional gravity
Avik Chakraborty, Tanay Kibe, Mart\'in Molina, Ayan Mukhopadhyay, Giuseppe Policastro
https://arxiv.org/abs/2509.20437

The degrees of freedom of multiway junctions in three dimensional gravity
We demonstrate that $n$-way junctions in three dimensional gravity correspond to coupled $n-1$ strings each satisfying the Nambu-Goto equation in the smoothened background, and with sources consisting of Monge-Ampère like terms which couple the strings. For $n\geq 3$, these $n-1$ degrees of freedom survive the tensionless limit implying that matter-like behavior can arise out of $pure$ gravity. We interpret these stringy degrees of freedom of gravitational junctions holographically in terms of…

A New Precise Measurement of the Cosmic Microwave Background Radiation Temperature at $z=0.89$ Toward PKS1830-211
Tatsuya Kotani, Tomoharu Oka, Rei Enokiya, Kazuki Yanagihara, Miyuki Kaneko, Ryo Ariyama
https://arxiv.org/abs/2509.20760

A New Precise Measurement of the Cosmic Microwave Background Radiation Temperature at $z=0.89$ Toward PKS1830-211
In this study, we analyzed millimeter-wave data toward the quasar PKS1830-211 observed with the Atacama Large Millimeter/submillimeter Array to obtain absorption spectra of HCN $J$=2-1, $J$=3-2, $J$=4-3, and $J$=5-4 lines at the cosmological redshift of $z=0.89$. We confirmed multiple absorption components in each spectrum, and the two lower-$J$ lines are highly saturated at velocity centers of the two most prominent components. The effect of uncertainty in the continuum covering factor was car…

High pressure lattice dynamics study of few layer-$\alpha$-In$_2$Se$_3$
Shiyu Feng, Anurag Ghosh, Gautham Vijayan, Ziyi Xu, Qian Zhang, Elad Koren, Elissaios Stavrou
https://arxiv.org/abs/2509.19969

High pressure lattice dynamics study of few layer-$α$-In$_2$Se$_3$
Few-layer $α$-In$_2$Se$_3$ has been studied under pressure using Raman spectroscopy in a diamond anvil cell up to 60 GPa (at room temperature). A combination of AFM and Raman was used to estimate the thickness of the specimens. While few-layer $α$-In$_2$Se$_3$ shows identical structural evolution with the one of the bulk powder-like form of $α$-In$_2$Se$_3$ ( $α$ $\rightarrow$ $β^{'}$ $\rightarrow$ IV ), an abrupt $β^{'}$ $\rightarrow$ IV phase transition (at 45 GPa) was observed, in cont…

DAGDiff: Guiding Dual-Arm Grasp Diffusion to Stable and Collision-Free Grasps
Md Faizal Karim, Vignesh Vembar, Keshab Patra, Gaurav Singh, K Madhava Krishna
https://arxiv.org/abs/2509.21145

DAGDiff: Guiding Dual-Arm Grasp Diffusion to Stable and Collision-Free Grasps
Reliable dual-arm grasping is essential for manipulating large and complex objects but remains a challenging problem due to stability, collision, and generalization requirements. Prior methods typically decompose the task into two independent grasp proposals, relying on region priors or heuristics that limit generalization and provide no principled guarantee of stability. We propose DAGDiff, an end-to-end framework that directly denoises to grasp pairs in the SE(3) x SE(3) space. Our key insigh…

Fractal Illusions: An Experimental Study of Long-Range Sentence-Length Correlations in Randomly Generated Natural Language Texts
Ying Zeng, Junying Cui, Lejun Li
https://arxiv.org/abs/2508.19782

Fractal Illusions: An Experimental Study of Long-Range Sentence-Length Correlations in Randomly Generated Natural Language Texts
This study re-evaluates the assumption that long-range correlations in sentence length are a fundamental feature of natural language and a marker of literary style. While previous research has suggested that punctuation marks--particularly full stops--generate structural regularities in narrative texts, our experiments challenge this view. Using Chinese as the primary language, supplemented with English, we constructed randomized linguistic sequences through three distinct methods. Surprisingly…

[2025-08-28 Thu (UTC), 1 new article found for physics.atm-clus Atomic and Molecular Clusters]
toXiv_bot_toot

On the arc index and Turaev genus of a link
\'Alvaro Del Valle V\'ilchez, Adam M. Lowrance
https://arxiv.org/abs/2509.21274 https://arxiv.org/pdf/2…

On the arc index and Turaev genus of a link
We compute the arc index of an adequate link and establish bounds on the arc index of the closure of a positive 3-braid. We also conjecture an inequality between the crossing number, arc index, and Turaev genus of a link and show the conjecture is true for several infinite families of links including alternating links, links with Turaev genus one, adequate links, closures of positive 3-braids, torus links, and most Kanenobu knots.

Cubic vertex-transitive graphs of girth seven
Maru\v{s}a Lek\v{s}e, Micael Toledo
https://arxiv.org/abs/2508.19880 https://arxiv.org/pdf/2508.19880

Cubic vertex-transitive graphs of girth seven
In this paper we classify cubic vertex-transitive graphs of girth $7$, based on their signature. Such a graph is either a truncation of an arc-transitive dihedral scheme on a $7$-regular graph, the skeleton of a rotary map of type $\{7,3\}$, a member of an infinite family of Cayley graphs, or is one of the of the generalised Petersen graphs $\text{Pet}(13,5)$, $\text{Pet}(15,4)$, $\text{Pet}(17,4)$ or the Coxeter graph. We show that for a cubic vertex-transitive graphs $Γ$ of girth $7$, if eve…

Reduced-Order Modeling of Cyclo-Stationary Time Series Using Score-Based Generative Methods
Ludovico Theo Giorgini, Tobias Bischoff, Andre Noguiera Souza
https://arxiv.org/abs/2508.19448

Reduced-Order Modeling of Cyclo-Stationary Time Series Using Score-Based Generative Methods
Many natural systems exhibit cyclo-stationary behavior characterized by periodic forcing such as annual and diurnal cycles. We present a data-driven method leveraging recent advances in score-based generative modeling to construct reduced-order models for such cyclo-stationary time series. Our approach accurately reproduces the statistical properties and temporal correlations of the original data, enabling efficient generation of synthetic trajectories. We demonstrate the performance of the met…

Replaced article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/6]:
- HawkBench: Investigating Resilience of RAG Methods on Stratified Information-Seeking Tasks
Hongjin Qian, Zheng Liu, Chao Gao, Yankai Wang, Defu Lian, Zhicheng Dou

Magnetic order tuning of excitons in the magnetic semiconductor CrCl$_3$ through strain
Ali Ebrahimian, Francisco J. Garc\'ia-Vidal, Juan J. Palacios
https://arxiv.org/abs/2509.20761

Magnetic order tuning of excitons in the magnetic semiconductor CrCl$_3$ through strain
Magnon-exciton coupling provides an unprecedented opportunity for the optical tunability of spin information and, viceversa, for the magnetic control of the optical response. Few-layered magnets are an ideal platform for the experimental study of this coupling, in part due to the strong excitonic character of the optical response in (quasi-)two dimensions. Here, we demonstrate a strong dependence of the excitonic oscillator strength on the magnetic order in a monolayer of chromium trichloride C…

The X-ray Emission of NGC 5005: An Unobscured Low-Luminosity AGN with a Weakly Accreting Broad-Line Region
Anna Trindade Falc\~ao, R. Middei, G. Fabbiano, M. Elvis, P. Zhu, W. P. Maksym, D. {\L}. Kr\'ol, L. Feuillet
https://arxiv.org/abs/2509.20597

The X-ray Emission of NGC 5005: An Unobscured Low-Luminosity AGN with a Weakly Accreting Broad-Line Region
We present deep Chandra X-ray observations of NGC 5005, a LINER-dominated galaxy previously reported to host a broad H$α$ emission line. The diffuse soft X-ray emission ($<$3 keV) extends out to $\sim$800 pc, while harder emission ($>$3 keV) is confined to the central $\sim$400 pc. Spatially resolved spectroscopy of the nuclear ($r<150$ pc) and extended ($150

Replaced article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[3/6]:
- GradNetOT: Learning Optimal Transport Maps with GradNets
Shreyas Chaudhari, Srinivasa Pranav, Jos\'e M. F. Moura

Replaced article(s) found for cs.RO. https://arxiv.org/list/cs.RO/new
[1/2]:
- SenSnake: A snake robot with contact force sensing for studying locomotion in complex 3-D terrain
Divya Ramesh, Qiyuan Fu, Chen Li

[2025-08-28 Thu (UTC), 2 new articles found for nlin.CD Chaotic Dynamics]
toXiv_bot_toot

Crosslisted article(s) found for cs.AI. https://arxiv.org/list/cs.AI/new
[3/9]:
- Representation-based Broad Hallucination Detectors Fail to Generalize Out of Distribution
Zuzanna Dubanowska, Maciej \.Zelaszczyk, Micha{\l} Brzozowski, Paolo Mandica, Micha{\l} Karpowicz

Lefschetz pencils on a complex projective plane from a topological viewpoint
Ju A Lee
https://arxiv.org/abs/2509.21069 https://arxiv.org/pdf/2509.21069

Lefschetz pencils on a complex projective plane from a topological viewpoint
In this article, we present a differential topological construction of symplectic Lefschetz pencils of genus $\frac{(d-1)(d-2)}{2}$ with $d^2$ base points and $3(d-1)^2$ critical points for arbitrary $d\geq 4$, analogous to the holomorphic Lefschetz pencils of curves of degree $d$ in $\mathbb{C}P^2$. Moreover, for the case $d=4$, we derive an explicit monodromy factorization of the genus $3$ holomorphic Lefschetz pencil on $\mathbb{C}P^2$ based on the braid monodromy technique and prove that it…

Replaced article(s) found for cs.CL. https://arxiv.org/list/cs.CL/new
[3/5]:
- ILRe: Intermediate Layer Retrieval for Context Compression in Causal Language Models
Manlai Liang, Mandi Liu, Jiangzhou Ji, Huaijun Li, Haobo Yang, Yaohan He, Jinlong Li

Judicious partitions for restricted self-sumsets in cyclic groups
Keane Maverick Irawan
https://arxiv.org/abs/2509.20568 https://arxiv.org/pdf/2509.20568…

Judicious partitions for restricted self-sumsets in cyclic groups
We study the minimax problem for restricted two-fold self-sumsets in $k$-colorings of $\mathbb{Z}_n$. For primes $p$ with $2\le k\le p$ we determine the exact minimum $\max\{0,\,2\lceil p/k\rceil-3\}$. For general $n$ (with $m=\lceil n/k\rceil$) we bound the optimum between a size term $\min\{p(n),\,2m-3\}$ and a periodicity term $f\big(n/q(n,k)\big)$, and show these bounds are tight when $2m-3\le p(n)$ or $f\big(n/q(n,k)\big)\le \min\{p(n),\,2m-3\}$. We further prove a stability inequality and…

Crosslisted article(s) found for cs.LG. https://arxiv.org/list/cs.LG/new
[3/5]:
- MAGIC: Multi-task Gaussian process for joint imputation and classification in healthcare time series
Dohyun Ku, Catherine D. Chong, Visar Berisha, Todd J. Schwedt, Jing Li

Fat Shellable Spheres
Joshua Hinman
https://arxiv.org/abs/2509.20771 https://arxiv.org/pdf/2509.20771

Fat Shellable Spheres
The fatness of a 4-polytope or 3-sphere is defined as $(f_1+f_2-20)/(f_0+f_3-10)$. We construct arbitrarily fat, strongly regular CW 3-spheres that are both shellable and dual shellable. These spheres have $f$-vectors $(Θ(n),Θ(nα(n)),Θ(nα(n)),Θ(n))$, where $α$ is the inverse Ackermann function.

Spectral extrema of graphs of given even size forbidding H(4,3)
Ruiling Zheng, Gang Zhang
https://arxiv.org/abs/2509.18594 https://arxiv.org/pdf/2509.18594…

Spectral extrema of graphs of given even size forbidding H(4,3)
A graph is sad to be $H$-free if it does not contain $H$ as a subgraph. Let $H(k,3)$ be the graph formed by taking a cycle of length $k$ and a triangle on a common vertex. Li, Lu and Peng [Discrete Math. 346 (2023) 113680] proved that if $G$ is an $H(3,3)$-free graph of size $m \geq 8$, then the spectral radius $ρ(G) \leq \frac{1+\sqrt{4 m-3}}{2}$ with equality if and only if $G \cong S_{\frac{m+3}{2}, 2}$, where $S_{\frac{m+3}{2}, 2}=K_2 \vee \frac{m-1}{2}K_1$. Note that the bound is attainab…

On the pancyclicity of $2$-connected $[5,3]$-graphs
Feng Liu, Hongxi Liu
https://arxiv.org/abs/2509.20038 https://arxiv.org/pdf/2509.20038

On the pancyclicity of $2$-connected $[5,3]$-graphs
A graph $G$ is called an $[s,t]$-graph if any induced subgraph of $G$ of order $s$ has size at least $t$. In 2024, Zhan conjectured that every $2$-connected $[p + 2, p]$-graph of order at least $2p + 3$ and with minimum degree at least $p$ is pancyclic, where $p$ is an integer with $3 \leq p \leq 5$. In this paper, we confirm the conjecture for the case $p=3$, thereby taking the first step toward a complete resolution of the conjecture.

A Characterization of Triangle-Free Cyclic Graphs With Self-Loops Of Rank 3
Johnny Lim
https://arxiv.org/abs/2509.20158 https://arxiv.org/pdf/2509.20158

A Characterization of Triangle-Free Cyclic Graphs With Self-Loops Of Rank 3
Let $G_S$ be a self-loop graph as the graph obtained by attaching a self-loop at every vertex in $S \subseteq V(G)$ of a simple graph $G.$ If $G=C_n$ is the cycle graphs of order $n$ and $S \neq \emptyset,$ we show that there are no rank 3 self-loop graphs $(C_n)_S$ for $n\geq 5.$ As a consequence, we determine and construct all possible rank 3 triangle-free self-loop cyclic graph of order at least 4 from $(C_4)_S$ via graph join operations. This provides a partial solution to the characterizat…

A Simplified Proof for the Edge-Density of 4-Planar Graphs
Aaron B\"ungener
https://arxiv.org/abs/2509.20999 https://arxiv.org/pdf/2509.20999

A Simplified Proof for the Edge-Density of 4-Planar Graphs
A graph on $n \ge 3$ vertices drawn in the plane such that each edge is crossed at most four times has at most $6(n-2)$ edges -- this result proven by Ackerman is outstanding in the literature of beyond-planar graphs with regard to its tightness and the structural complexity of the graph class. We provide a much shorter proof while at the same time relaxing the conditions on the graph and its embedding, i.e., allowing multi-edges and non-simple drawings.