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arXiv:2602.20606v1 Announce Type: new Abstract: We confirm a conjecture posed by Bergelson, Moreira, and Richter (arXiv:1711.05729), and in particular show that for every probability measure...
arXiv:2602.20607v1 Announce Type: new Abstract: This paper establishes a functional stable central limit theorem for a class of superdiffusive solutions to stochastic differential equations driven...
arXiv:2602.20613v1 Announce Type: new Abstract: In this paper, we introduce a class of blocks which is called hyperfocal abelian Frobenius blocks.This class of blocks is...
arXiv:2602.20617v1 Announce Type: new Abstract: We establish an inequality relating the projective dimension of a DG-module in $\mathrm{D}^\mathrm{b}_\mathrm{f}(A)$ to its grade and introduce the concept...
arXiv:2602.20623v1 Announce Type: new Abstract: This paper is about topological dynamics of cellular automata on finitely generated groups. We tackle the problem of determining for...
arXiv:2602.20625v1 Announce Type: new Abstract: We study compositions of a positive integer $n$ in which the occurrence of even parts larger than a fixed threshold...
arXiv:2602.20626v1 Announce Type: new Abstract: We introduce almost cohomology groups for Lie rings definable in finite-dimensional theory. In particular, we define the 0th and 1st...
arXiv:2602.20631v1 Announce Type: new Abstract: Rota-Baxter operators and bialgebras are closely connected in several applications, such as the Connes-Kreimer renormalization framework and the operator approach...
arXiv:2602.20635v1 Announce Type: new Abstract: This paper proves that any quantum t-deletion-correcting codes also correct a total of t insertion and deletion errors under a...
arXiv:2602.20640v1 Announce Type: new Abstract: Functional covariates arise in many scientific and engineering applications when model inputs take the form of time-dependent or spatially distributed...
arXiv:2602.20642v1 Announce Type: new Abstract: The classification of probability measures that satisfy both conformal invariance and domain Markov property is equivalent to characterizing solutions to...
arXiv:2602.20646v1 Announce Type: new Abstract: We study stochastic gradient descent (SGD) for composite optimization problems with $N$ sequential operators subject to perturbations in both the...
arXiv:2602.20649v1 Announce Type: new Abstract: We explain how to obtain the set of solutions of a multivariate polynomial equation modulo a power of a prime...
arXiv:2602.20660v1 Announce Type: new Abstract: This paper investigates the minimization of the expectation of piecewise polynomial loss functions over Wasserstein balls. This optimization problem often...
arXiv:2602.20667v1 Announce Type: new Abstract: This paper investigates when countable graphs have a finite or an infinite chromatic number through model theoretic methods. For Fra\"{i}ss\'{e}...
arXiv:2602.20675v1 Announce Type: new Abstract: This study presents a closed-form analytical solution for the elastostatic response of long cylindrical shells composed of microstructured materials within...
arXiv:2602.20679v1 Announce Type: new Abstract: We propose a second-order implicit-explicit (IMEX) time-stepping scheme for the isentropic, compressible Cahn-Hilliard-Navier-Stokes equations in the low Mach number regime....
arXiv:2602.20681v1 Announce Type: new Abstract: Many causal quantities are only partially identifiable due to the inherent missingness of potential outcomes, and the associated partial identification...
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...