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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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Mathematics Preprint PDF DOI

Geometric structure of singular free boundary points for the logarithmic obstacle problem

Lili Du, Xu Tang, Yi Zhou · 2026

In the previous work [Interfaces Free Bound., 19, 351--369, 2017], de Queiroz and Shahgholian established the optimal $C^{1,\log}_{\mathrm{loc}}$ regularity of solutions for the obstacle problem with …

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Mathematics Preprint PDF DOI

Convergence analysis of a full discretization of operator-valued differential Riccati equations

Eskil Hansen, Tony Stillfjord, Teodor {AA}berg · 2026

In recent previous work [E. Hansen, T. Stillfjord and T. \r{A}berg, SIAM J. Numer. Anal., to appear], we analyzed the convergence of operator splitting methods applied to operator-valued differential …

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Physics Preprint PDF DOI

Quenching of the proton $\pi0p_{3/2}$-$\pi0p_{1/2}$ spin-orbit splitting in $^{20}$O and the effect of the tensor force

J. Lois-Fuentes, B. Fernandez-Dominguez, T. Roger, F. Delaunay, M. Lozano-Gonzalez, O. Sorlin, T. Otsuka, T. Suzuki, N.L. Achouri, M. Caamano, C. Cabo, L. Caceres, A. Candiello, A. Cassisa, A. Ceulemans, F. Cresto, Q. Delignac, J.A. Duenas, D. Fernandez-Fernandez, S. Fracassetti, J. Giovinazzo, S. Grevy, G.F. Grinyer, V. Guimaraes, O. Kamalou, T. Kurtukian-Nieto, M.B. Latif, B. Mauss, C. Nicolle, A. Ortega-Moral, J. Pancin, J. Piot, O. Poleshchuk, R. Raabe, D. Ramos, D. Regueira-Castro, A.M. Sanchez-Benitez, J.C. Thomas, M. Vandebrouck, J.C. Zamora · 2026

We present the first direct measurement of the Z=6 shell gap in the neutron-rich 20O nucleus. The one-proton removal transfer reaction 2H(20O,3He)19N has been studied using the ACTAR TPC setup at GANI…

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Mathematics Preprint PDF DOI

Multiple positive solutions with prescribed masses for a coupled Schr\"odinger system: mass mixed and Sobolev critical coupled case

Qing Guo, Qihan He, Wei Shuai, Xuexiu Zhong · 2026

The aim of this paper is to establish multiple positive normalized solutions $(u,v,\lambda_1,\lambda_2)\in H^1(\mathbb{R}^N,\mathbb{R}^2)\times \mathbb{R}^2$ to the following coupled Schr\"odinger sys…

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AI & Data Science Preprint PDF DOI

ragR: Retrieval-Augmented Generation and RAG Assessment in R

Muhammad Aimal Rehman, Zhili Lu, Chi-Kuang Yeh · 2026

Retrieval-augmented generation (RAG) combines document retrieval with large language models to produce responses grounded in external evidence. While several R packages support core components of RAG …

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AI & Data Science Preprint PDF DOI

H-SemiS: Hierarchical Fusion of Semi and Self-Supervised Learning for Knee Osteoarthritis Severity Grading

Chandravardhan Singh Raghaw, Anushka Parwal, Shahid Shafi Dar, Prajakta Darade, Nagendra Kumar · 2026

Knee osteoarthritis (KOA) is a degenerative joint disease that can lead to chronic pain, reduced mobility, and long-term disability. Automated severity grading from knee radiographs can support early …

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Mathematics Preprint PDF DOI

$A_\infty$-invariance of oscillatory norms, and Schatten characterisations of commutators

Tuomas Hytonen · 2026

Schatten class properties of commutators $[b,T]$ of pointwise multipliers $b$ and singular integral operators $T$ have been characterised in a variety of settings. An abstract framework, covering many…

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Mathematics Preprint PDF DOI

Stochastic $\Sigma$-convergence in Orlicz setting and Applications

Joel Fotso Tachago, Hubert Nnang, Franck Tchinda Takougoum, Jean Louis Woukeng · 2026

This paper aims to extend the concept of stochastic $\Sigma$-convergence to the framework of Orlicz-Sobolev spaces in order to deals with coupled stochastic and deterministic homogenization problems i…

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Mathematics Preprint PDF DOI

Algebraic numbers and Fourier analysis: Salem's third problem

Khoa D. Nguyen · 2026

In 1963, Rapha\"el Salem concluded his highly influential book ``Algebraic Numbers and Fourier Analysis'' with a list of four unsolved problems. The first two problems remain wide open while the last …

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Computer Science Preprint PDF DOI

RISC-V Functional Safety for Autonomous Automotive Systems: An Analytical Framework and Research Roadmap for ML-Assisted Certification

Nick Andreasyan, Mikhail Struve, Alexey Popov, Maksim Nikolaev, Vadim Vashkelis · 2026

RISC-V is emerging as a viable platform for automotive-grade embedded computing, with recent ISO 26262 ASIL-D certifications demonstrating readiness for safety-critical deployment in autonomous drivin…

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Physics Preprint PDF DOI

Two New Molecular Nitrogen Phases near Megabar Pressures

Alexander F. Goncharov, Elena Bykova, Iskander Batyrev, Maxim Bykov, Huawei Chen, William Palfey, Mahmood Mohammad, Stella Chariton, Vitali Prakapenka, Jesse S. Smith · 2026

Molecular nitrogen exhibits remarkable structural diversity near the polymeric transition, where multiple phases are metastable. Here, we report two new molecular phases. The first, $t\zeta$-N$_2$, is…

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Mathematics Preprint PDF DOI

Harnack inequality for mixed local-nonlocal weighted homogeneous equations

Nirjan Biswas, Stuti Das · 2026

We consider the following class of mixed local-nonlocal equations: \begin{align}\label{abs}\tag{$\mathcal{P}$} -\Delta_p u + (-\Delta)_p^s u = V |u|^{p-2}u \text{ in } \Omega, \end{align} where $s \…

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Computer Science Preprint PDF DOI

Mitigating S-RAHA: An On-device Framework to Prevent Forwarding of Re-Captured Images

Keshav Sood, Iynkaran Natgunanathan, Purathani Praitheeshan, Praitheeshan Kirupananthan · 2026

Protecting sensitive visual content from unauthorized redistribution is a growing challenge for privacy focused mobile applications, including dating platforms. Screenshot prevention mechanisms, rely …

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AI & Data Science Preprint PDF DOI

Governance by Design: A Parsonian Institutional Architecture for Internet-Wide Agent Societies

Anbang Ruan · 2026

The dominant paradigm of local multi-agent systems -- orchestrated, enterprise-bounded pipelines -- is being superseded by internet-wide agent societies in which autonomous agents discover each other …

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AI & Data Science Preprint PDF DOI

Frugal Knowledge Graph Construction with Local LLMs: A Zero-Shot Pipeline, Self-Consistency and Wisdom of Artificial Crowds

Pierre Jourlin (LIA) · 2026

This paper presents an empirical study of a multi-model zero-shot pipeline for knowledge graph construction and exploitation, executed entirely through local inference on consumer-grade hardware. We p…

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Physics Preprint PDF DOI

High-temperature superconductivity in Nd$_{0.85}$Sr$_{0.15}$NiO$_2$ membranes under pressure

Yonghun Lee, Mengnan Wang, Xin Wei, Yijun Yu, Wendy L. Mao, Yu Lin, Harold Y. Hwang · 2026

Lattice compression has emerged as a fundamental tuning parameter for nickelate superconductivity. Pressure acts as a trigger to induce superconductivity in bulk Ruddlesden-Popper nickelates. For infi…

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Mathematics Preprint PDF DOI

Finite-time contact in fluid-elastic structure interaction: Navier-slip coupling condition

Krutika Tawri, Nash Ward · 2026

We consider a fluid-structure interaction problem involving a viscous, incompressible fluid flow, modeled by the 2D Navier-Stokes equations, through a thin deformable elastic tube, displacement of whi…

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Mathematics Preprint PDF DOI

No Countable Basis for Borel Directed Graphs of Dichromatic Number at Least Three

Tonatiuh Matos-Wiederhold · 2026

I prove that the Borel directed graphs whose vertex set admits a partition into two Borel acyclic sets form a $\mathbf\Sigma^1_2$-complete set; equivalently, that deciding whether a Borel directed gra…

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Mathematics Preprint PDF DOI

A Trudinger-Moser inequality under a refined constraint in fractional dimensions and extremal functions

Ruan Diego da Silva Paiva, Jose Francisco de Oliveira · 2026

We establish a Trudinger-Moser type inequality with a Tintarev-type constraint in fractional-dimensional spaces and prove the existence of maximizers in the critical regime. Our results provide a refi…

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