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arXiv:2601.16522v2 Announce Type: replace Abstract: Phase-field simulations are a practical but also expensive tool to calculate microstructural evolution. This work aims to compare explicit time...
arXiv:2601.16842v2 Announce Type: replace Abstract: In this paper, we consider the problem of parametric empirical Bayes estimation of an i.i.d. prior in high-dimensional Bayesian linear...
arXiv:2601.18918v2 Announce Type: replace Abstract: The aim of this paper is to provide an effective framework for analysing bifurcations of equilibria in nonlinearly periodically forced...
arXiv:2601.20897v2 Announce Type: replace Abstract: We investigate integers whose base $g$ expansion omits a fixed digit and which can be represented as a sum of...
arXiv:2602.00932v2 Announce Type: replace Abstract: The existence of the Gorenstein projective precovers over $R$ an arbitrary ring, as well as the completeness of the Gorenstein...
arXiv:2602.01218v2 Announce Type: replace Abstract: We prove the existence of Ulrich sheaves on the Hilbert scheme of two points on a polarized K3 surface or...
arXiv:2602.01287v2 Announce Type: replace Abstract: We prove that a 3-regular penny graph has at least 16 vertices and show that such a graph with 16...
arXiv:2602.03299v3 Announce Type: replace Abstract: This paper is devoted to a qualitative analysis of the Poincar\'e--Sobolev level associated with the fractional GJMS operators \(\mathcal{P}_s\) \(\bigl(s\in(0,\tfrac...
arXiv:2602.05914v2 Announce Type: replace Abstract: We consider the transition between short-range entangled (SRE) and long-range ordered (and therefore long-range entangled) states of infinite quantum spin...
arXiv:2602.13727v2 Announce Type: replace Abstract: This paper investigates the local regularity of solutions to stationary Fokker-Planck equations on an open set $U \subset \mathbb{R}^d$ with...
arXiv:2602.14317v2 Announce Type: replace Abstract: We investigate the interaction between Arens products on the bidual of a Banach algebra and structural regularity properties of functionals...
arXiv:2602.14487v2 Announce Type: replace Abstract: We describe a simple Monte Carlo method for estimating $\pi$ by tossing a coin. Although the underlying Catalan-number series identities...
arXiv:2602.15152v2 Announce Type: replace Abstract: We construct examples and provide a classification of self-similar solutions to the two-dimensional incompressible Euler equations whose pseudo-velocity fields possess...
arXiv:2602.16027v3 Announce Type: replace Abstract: The primary objective of this paper is to employ methods from analytic number theory to investigate the mean value properties...
arXiv:2602.16159v2 Announce Type: replace Abstract: We prove the quantum modularity of the signature of $ \mathrm{SU}(2) $-TQFT for a genus 2 surface, which was conjectured...
arXiv:2602.17412v3 Announce Type: replace Abstract: Using flag algebras, we prove that the minimum density of $8$-cliques in a large graph without an independent set of...
arXiv:2602.17501v3 Announce Type: replace Abstract: In this paper, we provide the lower bounds of the first non-zero basic eigenvalue on a closed singular Riemannian manifold...
arXiv:2602.17628v2 Announce Type: replace Abstract: We prove that the point process of the eigenvalues of real or complex non-Hermitian matrices $X$ with independent, identically distributed...
arXiv:2602.18848v2 Announce Type: replace Abstract: Solutions to nonlinear nonlocal systems of order $2s>1$ in $\mathbb{R}^n$ are $C^{1,\alpha}$, for every $\alpha
arXiv:2602.18927v2 Announce Type: replace Abstract: We study an analogue of the large deviation principle for mixed measures associated with a class of $\log$-concave probability measures...
arXiv:2602.19626v2 Announce Type: replace Abstract: We present Nacrith, a lossless compression system that combines a 135M-parameter transformer language model (SmolLM2-135M) with an ensemble of lightweight...
arXiv:2602.19727v2 Announce Type: replace Abstract: We study the Dirichlet series associated with the integers whose radix-$b$ representation misses certain (fixed) digits. The existence of a...
arXiv:2602.20027v2 Announce Type: replace Abstract: Let $(X,\Delta)$ be a projective, log canonical, $K$-trivial pair over the complex numbers. Let $Z$ be a minimal log canonical...
arXiv:2602.20086v2 Announce Type: replace Abstract: Let $f$ be a Rademacher or Steinhaus random multiplicative function. For various arithmetically interesting subsets $\mathcal A\subseteq [1, N]\cap\mathbb N$...