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arXiv:2603.03625v1 Announce Type: new Abstract: This paper develops negative curvature methods for continuous nonlinear unconstrained optimization in stochastic settings, in which function, gradient, and Hessian...
arXiv:2603.03629v1 Announce Type: new Abstract: We consider deterministic particle dynamics with time evolving weights and their associated Kolmogorov equation and mean-field equation. We prove existence...
arXiv:2603.03634v1 Announce Type: new Abstract: Analogously to the quantum case considered in Cruz-de-la-Rosa and Guerrero-Poblete (Open Syst. Inf. Dyn. 32, 2550005, 2025), this work proposes...
arXiv:2603.03636v1 Announce Type: new Abstract: We compute some particular examples of cohomological Chow groups for varieties with isolated singularities. For higher-dimensional varieties, we compute the...
arXiv:2603.03658v1 Announce Type: new Abstract: In the context of differential fields of characteristic zero with several commuting derivations, we discuss the notion of $\#$-differential equations...
arXiv:2603.03661v1 Announce Type: new Abstract: This paper examines multi-armed bandits in which actions are taken at random discrete times. The model consists of $J$ independent...
arXiv:2603.03666v1 Announce Type: new Abstract: We prove that the unconditional uniqueness of mild solutions to the Navier-Stokes equations fails in all the Besov spaces with...
arXiv:2603.03676v1 Announce Type: new Abstract: We investigate the existence of minimal hypersurfaces in $\mathbb{S}^{n+1}$ that are generated by the isoparametric foliation of a subsphere $\mathbb{S}^n$....
arXiv:2603.03684v1 Announce Type: new Abstract: Recent developments show that AI can prove research-level theorems in mathematics, both formally and informally. This essay urges mathematicians to...
arXiv:2603.03690v1 Announce Type: new Abstract: Measures on Fra\"iss\'e classes are a key input in the Harman--Snowden (2022) construction of tensor categories. Treelike Fra\"iss\'e classes provide...
arXiv:2603.03693v1 Announce Type: new Abstract: In this paper, we introduce the little $\mu$-function, which is obtained as a degenerate limit of the generalized $\mu$-function. We...
arXiv:2603.03709v1 Announce Type: new Abstract: We introduce a semistability notion of the intrinsic reductions of a non-archimedean rational function at each non-classical point in the...
arXiv:2603.03713v1 Announce Type: new Abstract: Focusing on the assessment of benthic algae blooms that decay subexponentially, we propose a tractable (solvable in a closed form)...
arXiv:2603.03716v1 Announce Type: new Abstract: We give an upper bound for the number of compact essential orientable non-isotopic surfaces, with Euler characteristic at least some...
arXiv:2603.03717v1 Announce Type: new Abstract: Locally decodable codes (LDCs) are error correction codes that allow recovery of any single message symbol by probing only a...
arXiv:2603.03720v1 Announce Type: new Abstract: In this article, the small ball probability is obtained for the collision local time of two independent symmetric $\alpha-$stable processes...
arXiv:2603.03721v1 Announce Type: new Abstract: We study the set of isomorphism classes of polarized superspecial abelian varieties $(A,\lambda)$ of a fixed dimension over $\mathbb{F}_p$ with...
arXiv:2603.03723v1 Announce Type: new Abstract: Analog error correction codes have been proposed for analog in-memory computing on resistive crossbars, which can accelerate vector-matrix multiplication for...
arXiv:2603.03747v1 Announce Type: new Abstract: We characterize matrix polynomials $P,Q$ such that the inequality $$ \left\Vert Q(D)u\right\Vert _{L^{2}}\leq C\left\Vert P(D)u\right\Vert _{L^{2}}\quad\text{for all }u\in C_c^\infty(\Omega), $$...
arXiv:2603.03757v1 Announce Type: new Abstract: Masur and Minsky showed that the curve graph is quasi-isometric to the Teichm\"uller space electrified along its thin part, and...
arXiv:2603.03758v1 Announce Type: new Abstract: Let $X/S$ be a smooth family of smooth projective varieties, where $S$ is a smooth affine curve over a field...
arXiv:2603.03763v1 Announce Type: new Abstract: The kernel smoothing with large bandwidth values causes oversmoothing or underfitting in general. However, when irrelevant variables are included, the...
arXiv:2603.03766v1 Announce Type: new Abstract: Let $Y_{1|1}$ be the Yangian associated to the general linear Lie superalgebra $\mathfrak{gl}_{1|1}$, defined over an algebraically closed field $\mathbbm{k}$...
arXiv:2603.03774v1 Announce Type: new Abstract: In this paper, we introduced some notions on the n-Normed Spaces. Those are bounded k-linear (or multilinear) functionals and k-continuous...