Stay updated with the latest research and technology news
arXiv:2506.18646v2 Announce Type: replace Abstract: While the spectral properties and invariant subspaces of compressed shifts on model spaces are well understood, their behaviour on nearly...
arXiv:2507.00091v2 Announce Type: replace Abstract: We consider a coded distributed computing problem in a ring-based communication network, where $N$ computing nodes are arranged in a...
arXiv:2507.00470v2 Announce Type: replace Abstract: We investigate the geodesic orbit property of pseudo-Riemannian nilmanifolds, specifically those known in the literature as pseudo $H$-type Lie groups...
arXiv:2507.00773v2 Announce Type: replace Abstract: We consider collections of hyperplanes in $\mathbb{R}^n$ covering all vertices of the $n$-dimensional hypercube $\{0,1\}^n$, which satisfy the following nondegeneracy...
arXiv:2507.04980v2 Announce Type: replace Abstract: We build a modified universal Kolyvagin system for the Galois representation attached to a Hida family of modular forms, starting...
arXiv:2507.05667v2 Announce Type: replace Abstract: A Real structure on a $4$-manifold $X$ is an orientation preserving smooth involution $\sigma$. We say that an embedded surface...
arXiv:2507.10907v2 Announce Type: replace Abstract: A subset $S$ of a topological gyrogroup $G$ is said to be a {\it suitable set} for $G$ if $S$...
arXiv:2507.10987v3 Announce Type: replace Abstract: Every matrix polynomial $\mathbf{f}_n$ can be written in the form \[ \mathbf{f}_n(z)=\mathbf{h}(z^2)+z\,\mathbf{g}_n(z^2). \] The matrix polynomial $\mathbf{f}_{2m}$ is said to...
arXiv:2507.11358v3 Announce Type: replace Abstract: In this article, we study the $G$-autoequivalences of the derived category $\mathbf{D}^b_G(A)$ of $G$-equivariant objects for an abelian variety $A$...
arXiv:2507.12742v3 Announce Type: replace Abstract: We verify quasi-optimality of the Crouzeix-Raviart FEM for nonlinear problems of $p$-Laplace type. More precisely, we show that the error...
arXiv:2507.13049v3 Announce Type: replace Abstract: In recent years, several notions of non-rigidity of horizontal vectors in Carnot groups have been proposed, motivated, in particular, by...
arXiv:2507.13865v4 Announce Type: replace Abstract: We review and develop the classical theory of moments of configurations of weighted points with a focus on systems with...
arXiv:2507.16810v4 Announce Type: replace Abstract: We consider an inverse initial-data problem for the compressible anisotropic Navier--Stokes equations, in which the goal is to reconstruct the...
arXiv:2508.00038v2 Announce Type: replace Abstract: In this paper, we obtain upper and lower bounds for the partition function $p(n)$ by using an elementary geometric inequality...
arXiv:2508.04112v2 Announce Type: replace Abstract: We prove the convergence of hyperbolic approximations for several classes of higher-order PDEs, including the Benjamin-Bona-Mahony, Korteweg-de Vries, Gardner, Kawahara,...
arXiv:2508.11109v3 Announce Type: replace Abstract: This paper is the second part of a two-paper series, initiated in arXiv:2603.02163 for scalar PDEs on hypersurfaces, and is...
arXiv:2508.12915v3 Announce Type: replace Abstract: Benford's law is the statement that in many real world data sets, the probability of having digit $d$ in base...
arXiv:2508.21279v2 Announce Type: replace Abstract: We present an energy conservative, quadrature based model reduction framework for the compressible Euler equations of Lagrangian hydrodynamics. Building on...
arXiv:2509.01485v2 Announce Type: replace Abstract: We introduce {\it (W')-specification} in terms of language decompositions of subshifts, and show that any recurrence set of a subshift...
arXiv:2509.03760v2 Announce Type: replace Abstract: In this paper, we study two types of inverse problems for space semi-discrete stochastic parabolic equations in arbitrary dimensions. The...
arXiv:2509.04598v2 Announce Type: replace Abstract: An edge of a graph dominates itself along with any edge that shares an endpoint with it. An efficient edge...
arXiv:2509.07306v2 Announce Type: replace Abstract: This paper is devoted to the study of an inertial accelerated primal-dual algorithm, which is based on a second-order differential...
arXiv:2509.11043v2 Announce Type: replace Abstract: In this paper, we propose a proximal stochasitc gradient algorithm (PSGA) for solving composite optimization problems by incorporating variance reduction...
arXiv:2509.14209v2 Announce Type: replace Abstract: In this paper, we present a novel approach for analyzing the relationship between the supports of conditional measures and their...