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arXiv:2602.20695v1 Announce Type: new Abstract: We investigate regularity properties of the solution map for the intermediate long wave equation (ILW) on the real line. More...
arXiv:2602.20697v1 Announce Type: new Abstract: We propose an algorithm for the computational homogenization of locally periodic hyperelastic structures undergoing large deformations due to external quasi-static...
arXiv:2602.20699v1 Announce Type: new Abstract: Global self-similar solutions to the parabolic Hardy-H\'enon equation $$ u_t=\Delta u^m+|x|^{\sigma}u^p, \quad (x,t)\in\mathbb{R}^N\times(0,\infty), $$ are classified in the range of...
arXiv:2602.20703v1 Announce Type: new Abstract: We study the relation between birational singularities of 1-foliations and those of their quotients. We prove that the quotient $X/\mathcal{F}$...
arXiv:2602.20707v1 Announce Type: new Abstract: In this paper we introduce a flow to study the Toda system, which we call {\it Toda flow.} More generally,...
arXiv:2602.20719v1 Announce Type: new Abstract: The Helmholtz equation is fundamental to wave modeling in acoustics, electromagnetics, and seismic imaging, yet high-frequency regimes remain challenging due...
arXiv:2602.20736v1 Announce Type: new Abstract: We study existential theories of henselian valued fields of positive characteristic with parameters from a trivially valued subfield. Compared to...
arXiv:2602.20737v1 Announce Type: new Abstract: We provide new local characterizations of Hida families of Siegel modular forms with genus two arising from automorphic inductions (stable...
arXiv:2602.20741v1 Announce Type: new Abstract: This paper constructs a fast and effective novel numerical scheme which accurately calculates the dynamics of weakly-interacting pulses in the...
arXiv:2602.20742v1 Announce Type: new Abstract: We study dualizing complexes on algebraic stacks. In particular, we establish their existence in broad generality for Deligne--Mumford stacks of...
arXiv:2602.20753v1 Announce Type: new Abstract: The symplectic analogues of Schur's theorem and Ky Fan's minimum principle are shown to be equivalent. Moreover, the symplectic Schur's...
arXiv:2602.20755v1 Announce Type: new Abstract: We observe that the process of associating an action to any Schreier extension of monoids with commutative and cancellative kernel...
arXiv:2602.20765v1 Announce Type: new Abstract: Given lattice polytopes $P_1, \ldots, P_k$ contained in a $k$-dimensional subspace $U \subseteq \mathbb{R}^d$ and a $d$-dimensional lattice polytope $Q...
arXiv:2602.20766v1 Announce Type: new Abstract: Determining the number of (complex) realisations of a rigid graph for a specific choice of edge lengths is a fundamental...
arXiv:2602.20769v1 Announce Type: new Abstract: This article develops a general framework for continuous deterministic data assimilation for semilinear parabolic equations by means of evolution equations....
arXiv:2602.20774v1 Announce Type: new Abstract: Let $\Gamma$ be a group of order $n^2$ and $SMS_{\Gamma}(n)=(a_{i,j})_{n\times n}$ be an $n\times n$ array whose entries are all...
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...