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Mathematics Preprint PDF DOI

Minimal Parametric Networks in Hyperspaces and their Properties

Arsen Galstyan ยท 2026

This work investigates minimal parametric networks in hyperspaces of closed subsets of metric spaces endowed with the Hausdorff distance. It is shown that the problems of finding such networks are nonโ€ฆ

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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 ยท 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 oโ€ฆ

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Physics Preprint PDF DOI

Environmental dependence of the Mass-Metallicity Star Formation Relations at z=4-10 with JWST

Qiong Li, Christopher J. Conselice, Lewi Westcott, Duncan Austin, Tom Harvey, Nathan Adams, Vadim Rusakov, James Arcidiacono, Caio Moreira Goolsby, Chandana Hegde, Shuqi Fu ยท 2026

We study how environment affects the mass-metallicity relation (MZR) at $z=4$-$10$ using deep imaging and spectroscopy from the James Webb Space Telescope (JWST). Combining CEERS and JADES, we compileโ€ฆ

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Computer Science Preprint PDF DOI

New Parameterized and Exact Exponential Time Algorithms for Strongly Connected Steiner Subgraph

Afrouz Jabal Ameli, Tomohiro Koana, Jesper Nederlof, Shengzhe Wang ยท 2026

The Strongly Connected Steiner Subgraph (SCSS) problem is a well-studied network design problem that asks for a minimum subgraph that strongly connects a given set of terminals. In this paper, we presโ€ฆ

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AI & Data Science Preprint PDF DOI

Weakly Supervised Multicenter Nancy Index Scoring in Ulcerative Colitis Using Foundation Models

Adam Kukucka, Ondrej Fabian, Vit Musil, Tomas Brazdil ยท 2026

Histologic assessment of ulcerative colitis (UC) activity is an important endpoint in clinical trials and routine care, but manual grading with indices such as the Nancy histological index (NHI) is tiโ€ฆ

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Physics Preprint PDF DOI

Magnetic Activity Cycles and Rotation in Planet-hosting and Non-hosting Solar-type Stars

Amina Boulkaboul, Alessandro Sozzetti, Caroline Soubiran, Yassine Damerdji ยท 2026

We analyze periodicities in radial velocity (RV) measurements and magnetic activity indicators (S-index and BIS) for 767 Gaia RV standard stars to distinguish between stellar activity and planetary siโ€ฆ

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Mathematics Preprint PDF DOI

Invariant measures for the open KPZ equation: the Gaussian case

James Bona-Landry ยท 2026

In [arXiv:2409.08465], Quastel and Gu use Stein's equation and integration by parts to give a direct proof that drifted Brownian motions are stationary (modulo height shifts) for the full-line KPZ equโ€ฆ

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Physics Preprint PDF DOI

Anomalous Mean-Squared Displacement in Quantum Active Matter from a Wigner Phase-Space Framework

Sangyun Lee, Yehor Tuchkov, Alexander P. Antonov, Benno Liebchen, Hartmut Lowen, Giovanna Morigi, Michael te Vrugt ยท 2026

Active matter is driven out of equilibrium by a local influx of energy. While classical active matter has been extensively studied, the extension of active matter concepts to quantum systems has been โ€ฆ

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Mathematics Preprint PDF DOI

Laplace Transform driven Stein-type Goodness-of-fit Tests for Pareto Distribution

Deepesh Bhati, Sakshi Khandelwal ยท 2026

The Pareto distribution plays a crucial role in various disciplines, necessitating robust goodness-of-fit tests for its validation. This article introduces a novel tests based on Stein's characterizatโ€ฆ

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Physics Preprint PDF DOI

A Morphological Identification and Study of Radio Galaxies from LoTSS DR2. I. The "Winged'' Radio Galaxies

Soumen Kumar Bera, Taotao Fang, Tapan K. Sasmal, M. Kunert-Bajraszewska, Xuelei Chen, Soumen Mondal ยท 2026

We conducted an extensive identification and analysis of various morphological classes and subclasses of radio galaxies using the latest high-resolution data from the second data release of the LOFAR โ€ฆ

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Computer Science Preprint PDF DOI

Spectrographic Portamento Gradient Analysis: A Quantitative Method for Historical Cello Recordings with Application to Beethoven's Piano and Cello Sonatas, 1930--2012

Ignasi Sole ยท 2026

Portamento in string performance has been studied primarily as a binary presence-or-absence phenomenon, with existing research measuring frequency of occurrence and, less commonly, duration in milliseโ€ฆ

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Mathematics Preprint PDF DOI

Anti-Ramsey numbers for cancellative configurations in p-graphs

Cheng Chi, Long-tu Yuan ยท 2026

We study edge-colorings of the complete $p$-graph on $n$ vertices that contain no three edges $A,B,C$ of distinct colors such that the symmetric difference of $A$ and $B$ is contained in $C$. For $pโ€ฆ

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Physics Preprint PDF DOI

Correlation between active regions' spectra at high radio frequencies and solar flare occurrences

Sara Mulas, Alberto Pellizzoni, Marco Marongiu, Adriana Marcucci, Simona Righini, Maria Noemi Iacolina, Elise Egron, Giulia Murtas, Matteo Bachetti, Francesco Berrilli, Alessandro Cabras, Roberto Caocci, Gian Luigi Deiana, Salvatore Luigi Guglielmino, Colby Haggerty, Adelaide Ladu, Sara Loru, Andrea Maccaferri, Pasqualino Marongiu, Andrea Melis, Alessandro Navarrini, Alessandro Orfei, Pierluigi Ortu, Mauro Pili, Tonino Pisanu, Giuseppe Pupillo, Andrea Saba, Luca Schirru, Giampaolo Serra, Caterina Tiburzi, Giuseppe Valente, Alessandra Zanichelli, Pietro Zucca, Mauro Messerotti ยท 2026

High radio frequencies observations with the Italian network of large single-dish radio telescopes resulted in ~450 solar images between 2018 and 2023 in K-band frequency range (18-26 GHz). Solar radiโ€ฆ

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Engineering Preprint PDF DOI

Optimum adaptation of a Steiner network

Manou Rosenberg, Mengbin Ye, Brian D.O. Anderson ยท 2026

The Euclidean Steiner tree problem, normally posed in two dimensions, seeks to connect a set of prescribed terminal nodes by placing additional nodes, known as Steiner points, with edges connecting suโ€ฆ

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Mathematics Preprint PDF DOI

3-Designs from $\mathrm{GL}_2(\mathbb{F}_q)$-Invariant Subspaces of $\mathbb F_q[X,Y]_k$

Huawei Wu, Lewen Wang, Sihuang Hu ยท 2026

We present a uniform framework for constructing $3$-designs from $\mathrm{GL}_2(\mathbb F_q)$-invariant subspaces of $\mathbb F_q[X,Y]_k$, the space of homogeneous polynomials of degree $k$. Given sucโ€ฆ

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Mathematics Preprint PDF DOI

Completely Independent Steiner Trees

Anil Maheshwari, Karthik Murali, Michiel Smid ยท 2026

Spanning trees are fundamental for efficient communication in networks. For fault-tolerant communication, it is desirable to have multiple spanning trees to ensure resilience against failures of nodesโ€ฆ

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Mathematics Preprint PDF DOI

Algebraic numbers and Fourier analysis: Salem's third problem

Khoa D. Nguyen ยท 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 โ€ฆ

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Physics Preprint PDF DOI

Benchmarking Quantum Kernel Support Vector Machines Against Classical Baselines on Tabular Data: A Rigorous Empirical Study with Hardware Validation

Siavash Kakavand, Christoph Strohmeyer, Michael Schlotter ยท 2026

Quantum kernel methods have been proposed as a promising approach for leveraging near-term quantum computers for supervised learning, yet rigorous benchmarks against strong classical baselines remain โ€ฆ

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Computer Science Preprint PDF DOI

Order Optimal Task Allocation in Distributed Computing via Interweaved Cliques

Javad Maheri, K. K. Krishnan Namboodiri, Petros Elia ยท 2026

We consider a distributed computing system in which a master node coordinates $N$ workers to evaluate a function over $n$ input files, where this function accepts general decomposition. In particular,โ€ฆ

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Mathematics Preprint PDF DOI

Algebraic Graph Theory

M Reza Salarian ยท 2026

This note provides an introduction to selected topics in algebraic graph theory, including strongly regular graphs, Steiner systems, and automorphism groups. We describe constructions and properties oโ€ฆ

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