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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...
arXiv:2602.21048v1 Announce Type: new Abstract: We introduce $t$-Hermitian forms of arbitrary degree $k$, a natural extension of classical degree $k$ Hermitian forms obtained through a...
arXiv:2602.21051v1 Announce Type: new Abstract: We study polynomials with no zeros on the unit ball in complex Euclidean space with a view toward characterizing when...
arXiv:2602.21055v1 Announce Type: new Abstract: In many applications, weighted networks are constructed based on time series data: each time series is associated to a vertex...
arXiv:2602.21056v1 Announce Type: new Abstract: We establish a class of Oppenheim--Schur-type inequalities for the convolutional Jury product of positive semidefinite matrices. These results extend to...
arXiv:2602.21060v1 Announce Type: new Abstract: We prove that the category of commutative Hopf algebras over a field $k$ is co-semi-abelian. Consequently, the category of affine...
arXiv:2602.21062v1 Announce Type: new Abstract: We introduce a broad class of families of branching random walks on a set $X$. The processes in each family...
arXiv:2602.21063v1 Announce Type: new Abstract: Let $p$ be a prime number, $n$ an integer $\geq 2$, and $L$ a finite extension of $\mathrm{Q}_p$. Let $\rho_L$...
arXiv:2602.21067v1 Announce Type: new Abstract: We characterize linear lexicographic $p$-ary codes. Using this characterization, when $p \ge 3$, we determine the dimensions of linear lexicographic...
arXiv:2602.21070v1 Announce Type: new Abstract: Let $p$ be a prime and let $L$ be a quadratic $\mathbb{Z}_p$-lattice with quadratic form $Q$. For $t\neq 0$ the...
arXiv:2602.21071v1 Announce Type: new Abstract: We develop minimal slicing via capillary hypersurfaces to understand positive scalar curvature metric on manifolds with boundary. The method provides...
arXiv:2602.21075v1 Announce Type: new Abstract: In this work, we study compact Riemannian manifolds with boundary satisfying V-static-type equations. By combining a generalized Reilly formula with...
arXiv:2602.21079v1 Announce Type: new Abstract: In this article, we demonstrate the phenomenon of thermal transpiration in a bounded convex domain. We employ the stationary Boltzmann...
arXiv:2602.21083v1 Announce Type: new Abstract: We introduce a general notion of $J$-tribe, and construct the $J$-tribe of $J$-frames in a given tribe $\mathcal{T}$, where $J$...