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arXiv:2504.02974v5 Announce Type: replace Abstract: E-variables are nonnegative random variables with expected value at most one under any distribution from a given null hypothesis. Every...
arXiv:2504.05986v3 Announce Type: replace Abstract: Recently it was proven that for a convex subset of $\mathbb{R}^{n}$ that has infinitely many extreme vectors, the Nehari theorem...
arXiv:2504.07666v2 Announce Type: replace Abstract: This article is the first in a series of works on the fuzzy Landau equation, where particles interact through delocalised...
arXiv:2504.14678v2 Announce Type: replace Abstract: We study the Rudin-Blass (and the Rudin-Keisler) ordering on the finite additive measures on $\omega$. We propose a generalization of...
arXiv:2505.01204v2 Announce Type: replace Abstract: For $G$ a connected linear algebraic group over a $p$-adic field, we show that the action of $G(\mathbb{B}^+_{\mathrm{dR}})$ on each...
arXiv:2505.05961v2 Announce Type: replace Abstract: Computing geodesics for Riemannian manifolds is a difficult task that often relies on numerical approximations. However, these approximations tend to...
arXiv:2505.07987v3 Announce Type: replace Abstract: We propose a functional calculus which allows one to apply functions to the matrix anti-commutator/commutator operator. The calculus is introduced...
arXiv:2505.12735v2 Announce Type: replace Abstract: We present theoretical properties of the space of metric pairs equipped with the Gromov--Hausdorff distance. First, we establish the classical...
arXiv:2505.15168v2 Announce Type: replace Abstract: The current massive installation of distributed resources in electricity distribution systems is transforming these systems into active dispatching subjects. At...
arXiv:2505.21799v4 Announce Type: replace Abstract: The ever-growing scale of deep learning models and training data underscores the critical importance of efficient optimization methods. While preconditioned...
arXiv:2505.23216v2 Announce Type: replace Abstract: We propose a Trefftz discontinuous Galerkin (TDG) method for the approximation of plane wave scattering by periodic diffraction gratings, modelled...
arXiv:2506.00590v2 Announce Type: replace Abstract: A metric relation by definition is symmetric. Since many data sets are non-symmetric, in this paper we develop a systematic...
arXiv:2506.03874v2 Announce Type: replace Abstract: It's well known that MDS, AMDS or self dual codes have good algebraic properties, and are applied in communication systems,...
arXiv:2506.07433v3 Announce Type: replace Abstract: In this paper, we investigate the approximation properties of solutions to the Ginzburg-Landau equation (GLE) in finite element spaces. Special...
arXiv:2506.08202v2 Announce Type: replace Abstract: In this paper, we are interested in the well-posedness of stochastic reaction diffusion equations like \begin{equation} \begin{cases} dX(t)(\xi)=\big(\Delta_\xi X(t)(\xi)-p(X(t)(\xi))\big)dt+RdW(t)+dL(t) ,...
arXiv:2506.11523v2 Announce Type: replace Abstract: This paper is concerned with a discounted stochastic optimal control problem for regime switching diffusion in an infinite horizon. First,...
arXiv:2506.11719v2 Announce Type: replace Abstract: Lax-Wendroff methods combined with discontinuous Galerkin/flux reconstruction spatial discretization provide a high-order, single-stage, quadrature-free method for solving hyperbolic conservation laws....
arXiv:2506.15436v2 Announce Type: replace Abstract: Simple regression methods provide robust, near-optimal solutions for optimal switching problems, including high-dimensional ones (up to 50). While the theory...
arXiv:2506.20296v3 Announce Type: replace Abstract: The base sequences BS(n+1,n) are four sequences of $\pm1$ and lengths n+1,n+1,n,n with zero auto correlation. The base sequence conjecture...
arXiv:2507.01885v2 Announce Type: replace Abstract: We consider a region in the complex plane enclosed by a deltoid curve inscribed in the unit circle, and define...
arXiv:2507.04223v2 Announce Type: replace Abstract: Zeroth-order optimization (ZO) is widely used for solving black-box optimization and control problems. In particular, single-point ZO (SZO) is well-suited...
arXiv:2507.06875v2 Announce Type: replace Abstract: The one-dimensional orbit set $\langle F : s \rangle$ is formed by the images of a number $s$ under the...
arXiv:2507.14907v3 Announce Type: replace Abstract: We provide a self contained, elementary, and geometrically-flavored classification of $8$-dimensional $2$-step nilpotent Lie algebras over algebraically closed fields of...
arXiv:2507.22135v2 Announce Type: replace Abstract: We study the limiting behavior of a Bienayme-Galton-Watson tree conditioned to have a large number of vertices and either a...