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arXiv:2603.05106v1 Announce Type: new Abstract: We prove that split reductive BT group schemes over a higher dimensional base are {\em affine}. Our method also gives...
arXiv:2603.05107v1 Announce Type: new Abstract: We consider the uniform parallel machines scheduling problem in the context of optimistic bilevel optimization, where two speed options are...
arXiv:2603.05122v1 Announce Type: new Abstract: We present an unconditional proof that non-trivial zeros of the Riemann Zeta function must lie strictly on the critical line...
arXiv:2603.05142v1 Announce Type: new Abstract: In this paper, based mainly on the method of Iwasawa and Kida, by studying in detail the Hasse units and...
arXiv:2603.05144v1 Announce Type: new Abstract: For $p\in (-\infty,0)\cup(0,1)$ and a convex body $K\subset\mathbb{R}^n$ with the origin in its interior, we construct the family of $p$-affine...
arXiv:2603.05163v1 Announce Type: new Abstract: The purpose of this paper is to estimate the limiting variance of asymptotically stationary Gaussian processes observed at high frequency,...
arXiv:2603.05166v1 Announce Type: new Abstract: Let $\Omega$ be a Cartan domain and $K = \sum_{\underline s}a_{\underline s}K_{\underline s}$ be a $\mathbb K$-invariant kernel on $\Omega$....
arXiv:2603.05173v1 Announce Type: new Abstract: By analogy with the Wiener measure on the Euclidean plane that is invariant under the group of rotations and quasi-invariant...
arXiv:2603.05174v1 Announce Type: new Abstract: For a solution to a (possibly nonlinear) Fokker-Planck equation (FPE) the powerful superposition principle renders a probability measure on path...
arXiv:2603.05194v1 Announce Type: new Abstract: In this article, we propose an efficient and spectrally accurate numerical method to compute the ground states of three-dimensional (3D)...
arXiv:2603.05196v1 Announce Type: new Abstract: This paper focuses on optimization problems constrained by Parametric Variational Inequalities (PVI) defined on a moving set. Unlike most existing...
arXiv:2603.05206v1 Announce Type: new Abstract: Let $X$ be a normed space of a finite dimension at least two, and $C\subsetneq X$ a closed convex set...
arXiv:2603.05233v1 Announce Type: new Abstract: The goals of this paper are threefold. First, we show that a counterpart of the Newman bound related to the...
arXiv:2603.05244v1 Announce Type: new Abstract: We consider drift parameter estimation in a model driven by the sum of two independent fractional Brownian motions with different...
arXiv:2603.05245v1 Announce Type: new Abstract: In this paper, we compute universal estimates of eigenvalues for a class of coupled systems of elliptic differential equations in...
arXiv:2603.05246v1 Announce Type: new Abstract: We show that the ultralimit of a bounded sequence of Lipschitz maps into pointed metric spaces extends naturally to $p$-bounded...
arXiv:2603.05269v1 Announce Type: new Abstract: Consider the random subgraph process on a base graph $G$ with $n$ vertices: we generate a sequence $\{G_t\}_{t=0}^{|E(G)|}$ by taking...
arXiv:2603.05271v1 Announce Type: new Abstract: We study the worst-case approximation of multivariate periodic functions from the weighted Korobov space $H_{d,\alpha,\gamma}$ with smoothness $\alpha>1/2$ in the...
arXiv:2603.05292v1 Announce Type: new Abstract: The notion of a tropical vector bundle on a toric variety was recently introduced by Khan-Maclagan and Kaveh-Manon. In this...
arXiv:2603.05298v1 Announce Type: new Abstract: We study the Dirichlet problem for a class of fractional $p$-Laplacian operators of order $s \in (0,1)$ defined through the...
arXiv:2603.05300v1 Announce Type: new Abstract: In this paper, we use the particle motion bijection introduced by Warnaar and developed by the two authors, Jouhet and...
arXiv:2603.05306v1 Announce Type: new Abstract: We investigate the extreme values of a sparse and equicorrelated Gaussian field on a triangle: the correlations on every vertical...
arXiv:2603.05316v1 Announce Type: new Abstract: Zabrodin recently proposed a generalization of Dyson Brownian motion to a setting where the particles are confined to a smooth...
arXiv:2603.05325v1 Announce Type: new Abstract: Symmetries are fundamental to both turbulence and differential equations. The large-eddy simulation (LES) equations inherit these symmetries provided the LES...