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arXiv:2602.20783v1 Announce Type: new Abstract: In this paper, we will give a structure theory for signed graphs with fixed smallest eigenvalue and investigate signed graphs...
arXiv:2602.20793v1 Announce Type: new Abstract: Decision Diagrams (DDs) have emerged as a powerful tool for discrete optimization, with rapidly growing adoption. DDs are directed acyclic...
arXiv:2602.20797v1 Announce Type: new Abstract: Identifying the collection of scalars that represent a non-negative matrix's eigenvalues is known as the non-negative inverse eigenvalue problem (NIEP)....
arXiv:2602.20801v1 Announce Type: new Abstract: Let $[\,\cdot\,]$ denote the floor function. Assume that $\lambda_1, \lambda_2, \lambda_3, \lambda_4, \lambda_5$ are nonzero real numbers, not all of...
arXiv:2602.20808v1 Announce Type: new Abstract: Let $x$ be a real number satisfying $x \geq 2$. For any positive integer $n$, we define $s(n)$ as the...
arXiv:2602.20815v1 Announce Type: new Abstract: The performance of kernel density estimators is usually studied via Taylor expansions and asymptotic approximation arguments, in which the bandwidth...
arXiv:2602.20817v1 Announce Type: new Abstract: We study the pro-$p$ Iwahori-Hecke algebra and its Gelfand-Graev modules for the $p$-adic general linear group and its metaplectic covers....
arXiv:2602.20820v1 Announce Type: new Abstract: This paper presents a rigorous convergence analysis of the $L^{p+1}$-normalized gradient flow with asymptotic Lagrange multiplier (GFALM) method for computing...
arXiv:2602.20822v1 Announce Type: new Abstract: In this paper, we investigate an inverse random source problem concerned with recovering the strength of a random, uncorrelated acoustic...
arXiv:2602.20825v1 Announce Type: new Abstract: In this paper, we investigate the asymptotic behavior of individual-based models describing the evolution of a population structured by a...
arXiv:2602.20827v1 Announce Type: new Abstract: We study a nonrelativistic system made of two quantum particles constrained to move on a line and a spin located...
arXiv:2602.20831v1 Announce Type: new Abstract: We study codimension one distributions on the projective three-space, focusing on cases where the tangent sheaf of the distribution is...
arXiv:2602.20835v1 Announce Type: new Abstract: To any essentially small tensor-triangulated category $\mathcal{K}$ and Thomason subset $Y \subseteq \mathrm{Spc}(\mathcal{K})$ we associate a ringed space $(\mathrm{Spf}(\mathcal{K},Y), \mathcal{O}_{\mathrm{Spf}(\mathcal{K},Y)}),$...
arXiv:2602.20836v1 Announce Type: new Abstract: In this paper, we derive the Onsager--Machlup functional for a second-order Newton-type stochastic system driven by time-dependent fractional noise, \[...
arXiv:2602.20840v1 Announce Type: new Abstract: This expository article is an introduction to logarithmic Gromov--Witten (GW) theory. We discuss how to study the GW theory of...
arXiv:2602.20841v1 Announce Type: new Abstract: We describe the fundamental quandle of a properly embedded surface $F$ (possibly with boundary) in $\mathbb{R} ^{3}\times I$, and derive...
arXiv:2602.20844v1 Announce Type: new Abstract: Stochastic network models play a central role across a wide range of scientific disciplines, and questions of statistical inference arise...
arXiv:2602.20847v1 Announce Type: new Abstract: Building on work of the first author and Kartas, we identify the elementary class generated by all perfectoid fields of...
arXiv:2602.20858v1 Announce Type: new Abstract: In this paper, we present a novel approach to investigate the existence of multiple critical points for a class of...
arXiv:2602.20861v1 Announce Type: new Abstract: With an eye to applications to type A and Schur-Weyl duality, we study Kazhdan-Lusztig bases for a general parabolic Hecke...
arXiv:2602.20863v1 Announce Type: new Abstract: In this paper we lay the foundations for the Morse theoretical study of strongly indefinite functionals on Banach manifolds by...
arXiv:2602.20864v1 Announce Type: new Abstract: This work focuses on the study of monodromic singularities in planar analytic families of vector fields whose Newton diagram consists...
arXiv:2602.20865v1 Announce Type: new Abstract: We study curve shortening flow in high codimension for arcs with free boundary meeting a fixed smooth barrier orthogonally. We...
arXiv:2602.20872v1 Announce Type: new Abstract: We introduce two families of infinite iterated function systems (IFSs) $\mathcal{F}(\mathbf{d}, T)$ and $\mathcal{G}(\mathbf{d}, T)$, parametrized by a sequence of...