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arXiv:2602.20919v1 Announce Type: new Abstract: In a recent breakthrough, Kalmynin proved a conjecture of Lev--Sonn and a conjecture of S\'{a}rk\"{o}zy on additive decompositions of multiplicative...
arXiv:2602.20922v1 Announce Type: new Abstract: We consider the class of all homogeneous, possibly non-reduced, polynomials $f$ whose associated reduced projective divisor $D_{\text{red}} \subset \mathbb{P}^{n-1}$ has...
arXiv:2602.20931v1 Announce Type: new Abstract: This paper investigates the properties of Busemann functions on Hadamard manifolds and their use in optimization algorithms in Riemannian settings....
arXiv:2602.20935v1 Announce Type: new Abstract: We study visibility from a fixed point in the presence of a Poisson process of $\lambda$--geodesic hyperplanes in a $d$-dimensional...
arXiv:2602.20938v1 Announce Type: new Abstract: We consider the heat equation in a smooth bounded convex domain $\Omega \subset \mathbb{R}^2$ with nonlinear Neumann boundary condition $\partial_\nu...
arXiv:2602.20948v1 Announce Type: new Abstract: The Lanczos method with implicit restarting is one of the most popular methods for finding a few exterior eigenpairs of...
arXiv:2602.20955v1 Announce Type: new Abstract: Starting from de la Vall\'ee Poussin type (VP) interpolation, the authors have recently introduced a family of interpolating polynomial scaling...
arXiv:2602.20956v1 Announce Type: new Abstract: Consider a $n\times n$ sparse non-Hermitian random matrix $X_n$ defined as the Hadamard product between a random matrix with centered...
arXiv:2602.20961v1 Announce Type: new Abstract: We review the construction of the spectral localiser (due to Loring and Schulz-Baldes) from a K-theoretic perspective. We first give...
arXiv:2602.20964v1 Announce Type: new Abstract: We show that, conditional on Zywina's effective version of the Serre uniformity conjecture, there is a natural way to parameterize...
arXiv:2602.20968v1 Announce Type: new Abstract: In this work, we propose a cohomological approach to studying perturbative anomalies in quantum mechanics. The Hamiltonian $\hat{H}$ together with...
arXiv:2602.20977v1 Announce Type: new Abstract: A famous result of P. Heged\"us describes the structure of finite rational $\{2,5\}$-groups. In this paper, we show how Heged\"us'...
arXiv:2602.20991v1 Announce Type: new Abstract: The exact leading asymptotics of solutions to the symmetric linear search problem are obtained for any positive probability density on...
arXiv:2602.20992v1 Announce Type: new Abstract: By introducing various topologies on the homotopy groups of a topological space, some researchers make these well known notions in...
arXiv:2602.20993v1 Announce Type: new Abstract: Low-altitude wireless networks (LAWNs) are expected to consist of multi-tier, heterogeneous terrestrial and non-terrestrial devices, where effective coordination is essential...
arXiv:2602.20996v1 Announce Type: new Abstract: A voltage graph is a finite directed graph whose edges are labeled by elements of a finite group $G$. A...
arXiv:2602.21005v1 Announce Type: new Abstract: An RGD system $\mathcal{D}$ is called \emph{linear w.r.t. a root basis $\mathcal{B}$} if the commutation relations between the root groups...
arXiv:2602.21021v1 Announce Type: new Abstract: We study Host-Kra factors and the spectral type of nilsystems, without assuming ergodicity. In the ergodic case, it is known...
arXiv:2602.21023v1 Announce Type: new Abstract: Robinson spaces are structures equipped with a total order that encodes comparative dissimilarity relationships. We study the problem of representing...
arXiv:2602.21024v1 Announce Type: new Abstract: We investigate the Brauer group of the ring $\mathcal{O}(S)$ of holomorphic functions on a finite-dimensional Stein space S. We provide...
arXiv:2602.21030v1 Announce Type: new Abstract: Linear preserver problems have been a central focus of research in matrix theory and operator theory for more than a...
arXiv:2602.21032v1 Announce Type: new Abstract: Given a finite group $\Gamma$, we prove results on the distribution of the prime to $q|\Gamma|$-part of fundamental groups of...
arXiv:2602.21040v1 Announce Type: new Abstract: In this paper we develop two different types of criteria for the finite time blow-up solutions to the combined nonlinear...
arXiv:2602.21047v1 Announce Type: new Abstract: It is well known that the rational torsion of an abelian variety defined over a number field injects into the...