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Physics Preprint PDF DOI

Intrinsic anomalous thermal hall effect as a signature of quantum metric in d-wave altermagnets

Rishi G. Gopalakrishnan, Srimayi Korrapati, Sumanta Tewari · 2026

We investigate the intrinsic anomalous thermal Hall effect in d-wave altermagnets, where a transverse heat current is generated by a longitudinal temperature gradient in the absence of a magnetic fiel…

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Computer Science Preprint PDF DOI

NeuroRing: Scaling Spiking Neural Networks via Multi-FPGA Bidirectional Ring Topologies and Stream-Dataflow Architectures

Muhammad Ihsan Al Hafiz, Artur Podobas · 2026

Spiking neural networks (SNNs) are a promising paradigm for energy-efficient event-driven computation, but large-scale SNN execution remains challenging because sparse spike communication and synchron…

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Mathematics Preprint PDF DOI

Stationary Distribution of Brownian Motion in the Half-Plane with Two-sided Reflections

Jules Flin · 2026

We investigate the unique stationary measure of a positive recurrent reflecting Brownian motion in the upper half-plane, where the direction of reflection is constant on each half-axis. The Laplace tr…

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Mathematics Preprint PDF DOI

Rational characteristic classes of bundles with fibre a product of spheres

Jan McGarry-Furriol · 2026

We prove the existence of many non-trivial characteristic classes of smooth oriented bundles with fibre a product $ S^{n}\times S^{n} $ of odd-dimensional spheres. We do so by proving injectivity of t…

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Mathematics Preprint PDF DOI

Stein's square function associated with the Bochner-Riesz means on M\'etivier groups and its applications

Joydwip Singh · 2026

In this paper, we study the $L^p$-boundedness of Stein's square function $\mathfrak{S}^{\alpha}(\mathcal{L})$ associated with the sub-Laplacian $\mathcal{L}$ on M\'etivier group $G$. A key aspect of o…

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Physics Preprint PDF DOI

Second harmonic generation and third harmonic generation in topological insulator-based van der Waals metamaterials

Alessandra Di Gaspare, Sara Ghayeb, Craig Knox, Edmund H. Linfield, Joshua Freeman, Miriam S. Vitiello · 2026

High-order harmonic generation (HHG) in solids - the frequency up-conversion of an optical signal - is governed by symmetries. At terahertz (THz) frequencies, HHG is a key technology to access high fr…

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Physics Preprint PDF DOI

Shift of the maxima of the critical currents of different polarity relative to the zero magnetic flux along the flux axis in a superconducting asymmetric aluminum ring

V. I. Kuznetsov, O. V. Trofimov · 2026

We measured the rectification of an ac voltage in a structure of superconducting circularly-asymmetric aluminum rings in series, permeated with a magnetic flux and biased with a low-frequency alternat…

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Mathematics Preprint PDF DOI

A Ring structure on the Class of Combinatorial Games

Harry Altman, Paolo Lipparini · 2026

J. Conway defined useful operations on the Class of combinatorial games and also introduced a notion of equivalence between games. Conway showed that, under his equivalence, games form a Group. Howeve…

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AI & Data Science Preprint PDF DOI

Auditing Frontier Vision-Language Models for Trustworthy Medical VQA: Grounding Failures, Format Collapse, and Domain Adaptation

Xupeng Chen, Binbin Shi, Chenqian Le, Qifu Yin, Lang Lin, Haowei Ni, Ran Gong, Panfeng Li · 2026

Deploying vision-language models (VLMs) in clinical settings demands auditable behavior under realistic failure conditions, yet the failure landscape of frontier VLMs on specialized medical inputs is …

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Physics Preprint PDF DOI

Probing dust properties through polarized scattered-light images of a sample of ring-shaped protoplanetary disks

Maxime Roumesy, Francois Menard, Gaspard Duchene, Ryo Tazaki, Christian Ginski · 2026

The evolution of protoplanetary disks, especially in the early stages of planetary formation, as dust grows, is the cornerstone of the birth of planets. The mechanisms involved in the growth of sub-mi…

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Computer Science Preprint PDF DOI

An Exact 56-Addition, Rank-23 Scheme for General 3*3 Matrix Multiplication

Yinqi Sun · 2026

We present a rank-$23$ algorithm for general $3\times3$ matrix multiplication that uses $56$ additions/subtractions and $23$ multiplications, for a total of $79$ scalar operations in the standard bili…

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Mathematics Preprint PDF DOI

Parseval-Rayleigh identities for graded Artinian Gorenstein algebras

Mykola Pochekai · 2026

We formulate and prove Parseval-Rayleigh identities for graded Artinian Gorenstein algebras over fields of positive characteristic. Specializing the general result, we provide an alternative proof of …

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Mathematics Preprint PDF DOI

Polynomial Maps with Constants on Matrix Algebra

Prachi Saini, Anupam Singh · 2026

Let $\mathcal A$ be an $\mathbb F$-algebra and $\omega \in \mathcal A\langle x_1, \ldots, x_m \rangle$ which defines a map $\mathcal A^m \rightarrow \mathcal A$ by evaluation, called a polynomial map …

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AI & Data Science Preprint PDF DOI

Diagnosing Capability Gaps in Fine-Tuning Data

Saeid Asgari Taghanaki, Rakshanda Agarwal, Bruce Sun, Rohan Jha, Elias Stengel-Eskin, Sara Malvar, Rui Ying, Yifei Xu, Guilherme Potje, Tusher Chakraborty, Leonardo de Oliveira Nunes, Ranveer Chandra, Emre Kiciman · 2026

Fine-tuning large language models (LLMs) for domain-specific tasks requires training datasets that comprehensively cover the target capabilities a practitioner needs. Yet identifying which capabilitie…

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Mathematics Preprint PDF DOI

$\mathbb{K}$-framings and $\mathbb{K}$-quadratic forms on surfaces

Nariya Kawazumi · 2026

We introduce the notions of $\mathbb{K}$-framings, based $\mathbb{K}$-framings and relative $\mathbb{K}$-framings of a compact connected oriented surface $\Sigma$ for any commutative ring $\mathbb{K}$…

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Mathematics Preprint PDF DOI

Torus Equivariant Cohomology for the $\Delta$-Springer Fiber

Raymond Chou · 2026

We define a torus $U \subset T = (\mathbb{C}^\times)^K$ which acts on the $\Delta$-Springer varieties $Y_{n,\lambda,s}$ defined by Griffin-Levinson-Woo and give a Borel-style presentation for the equi…

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Mathematics Preprint PDF DOI

A class of Exel--Laca algebras reciprocal to Cuntz--Krieger algebras

Kengo Matsumoto, Taro Sogabe · 2026

The reciprocality means a duality in Kirchberg algebras between K-theory groups and strong extension groups. In the paper, we will find a certain class of unital simple Exel--Laca algebras for which t…

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Physics Preprint PDF DOI

Bound-State Resonances of Schwarzschild-de Sitter Black Holes: Analytic Treatment

Qi-Dong Chen, Chong-Bin Chen, Guo-Qing Huang, Fu-Wen Shu, Tieguang Zi · 2026

Inspired by Mashhoon's framework connecting black hole quasi-normal modes (QNMs) to bound-state resonances in inverted potentials, V$\ddot{\text{o}}$lkel's recent numerical analysis of asymptotically …

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Mathematics Preprint PDF DOI

Perfectoid splitting and global $+$-regularity for smooth hypersurfaces

Shou Yoshikawa · 2026

In this paper, we prove that smooth Calabi--Yau hypersurfaces of degree $d$ over complete unramified discrete valuation rings with residue characteristic $p$ are perfectoid split if $p$ is larger than…

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AI & Data Science Preprint PDF DOI

Semantic Structure of Feature Space in Large Language Models

Austin C. Kozlowski, Andrei Boutyline · 2026

We show that the geometric relations between semantic features in large language models' hidden states closely mirror human psychological associations. We construct feature vectors corresponding to 36…

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