Stay updated with the latest research and technology news
arXiv:2603.03516v1 Announce Type: new Abstract: We consider nonconvex real valued functions whose truncations are either quasiconvex or even convex starting with a certain level. Among...
arXiv:2603.03518v1 Announce Type: new Abstract: Let $T_P$ be the theory of beautiful pairs of algebraically closed fields of fixed characteristic. It is known that for...
arXiv:2603.03533v1 Announce Type: new Abstract: We undertake a detailed analysis of a reaction-advection-diffusion (RAD) equation from the viewpoint of pulse-response studies, with particular attention to...
arXiv:2603.03548v1 Announce Type: new Abstract: The classical model of a star is the Lane-Emden star with dynamics governed by the Euler-Poisson equations. We consider the...
arXiv:2603.03549v1 Announce Type: new Abstract: We study the problem of extending any order-preserving Lipschitz function that maps a subset of a partially ordered Hilbert space...
arXiv:2603.03562v1 Announce Type: new Abstract: We consider the local kinematics at fluid interfaces in two-phase flows within the sharp interface framework. In the considered case...
arXiv:2603.03567v1 Announce Type: new Abstract: We prove a ''dimension expansion'' version of the Elekes-R\'onyai theorem for trivariate real analytic functions: If $f$ is a trivariate...
arXiv:2603.03588v1 Announce Type: new Abstract: We introduce birational strong complete regularity and strong complete regularity, two numerical invariants for pairs of (relative) Fano type. They...
arXiv:2603.03594v1 Announce Type: new Abstract: Centered weighted composition operators on $L^2$-spaces are characterized. The characterization is obtained without the assumption that the operator is a...
arXiv:2603.03601v1 Announce Type: new Abstract: We consider isomorphism of controllable graphs and cospectrality of distance-regularized graphs (which are known to be distance-regular or distance-biregular) in...
arXiv:2603.03622v1 Announce Type: new Abstract: This is a technical note which extends the results of Kosygina, Mountford and Peterson (Ann. Probab., 51(5):1684-1728, 2023, Section 4)...
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)...