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arXiv:2603.01877v1 Announce Type: new Abstract: The de Rham stack construction of Simpson shows that D-modules are quasicoherent sheaves on a modified geometry. Drinfeld furthermore introduced...
arXiv:2603.01886v1 Announce Type: new Abstract: The Shallow Water Moment Equations (SWME) are an extension of the Shallow Water Equations (SWE) for improved modelling of free-surface...
arXiv:2603.01887v1 Announce Type: new Abstract: We show that if a complete Riemannian $3-$manifold has $L^{\frac 32}-$ integrable Ricci curvature, satisfies a Sobolev inequality and has...
arXiv:2603.01888v1 Announce Type: new Abstract: This paper investigates a Terahertz (THz)-enabled mobile edge computing (MEC)-assisted virtual reality (VR) system using reconfigurable holographic surfaces (RHS) as...
arXiv:2603.01904v1 Announce Type: new Abstract: The study of permutation automorphism groups of cyclic codes is a central topic in algebraic coding theory. A cyclic code...
arXiv:2603.01905v1 Announce Type: new Abstract: We develop an abstract framework for coupled period--realization of meromorphic $1$--forms on punctured Riemann surfaces. A configuration datum $C$ gives...
arXiv:2603.01909v1 Announce Type: new Abstract: We provide non-asymptotic bounds and asymptotic limits for convex transport costs between the distribution of partial sums of independent and...
arXiv:2603.01916v1 Announce Type: new Abstract: Mathematical modeling plays a vital role in epidemiology, offering insights into the spread and control of infectious diseases. The compartmental...
arXiv:2603.01917v1 Announce Type: new Abstract: In this work, we investigate the existence and uniqueness of solutions to the following 2D and 3D convective Brinkman-Forchheimer extended...
arXiv:2603.01924v1 Announce Type: new Abstract: We consider energy-supercritical co-rotational wave maps from Minkowski spacetime to the sphere in odd spatial dimensions. The equation admits an...
arXiv:2603.01936v1 Announce Type: new Abstract: This is the continuation of our study of the Levin-Wen model based on an arbitrary unitary fusion category $\mathcal{C}$ on...
arXiv:2603.01939v1 Announce Type: new Abstract: We establish both global existence and decay properties for solutions with small data for a general class of coupled system...
arXiv:2603.01946v1 Announce Type: new Abstract: We present explicit formulas for the intersection pairing in the intersection cohomology of the moduli space $M_0(r)$ of rank-$r$, degree-$0$...
arXiv:2603.01954v1 Announce Type: new Abstract: A generalization of the celebrated Falconer distance problem asks for a graph $G=(\mathcal{V},\mathcal{E})$, with vertex set $\mathcal{V}$ and edge set...
arXiv:2603.01956v1 Announce Type: new Abstract: We establish formulas for the Poincar\'e polynomial of the type B analogue of the Deligne--Knudsen--Mumford moduli space of rational curves...
arXiv:2603.01957v1 Announce Type: new Abstract: In this note, we give a convergence result for a modified ''regularization-by-denoising''(RED) algorithm under a restricted isometry condition on measurements...
arXiv:2603.01964v1 Announce Type: new Abstract: We consider the periodic totally asymmetric simple exclusion process with a general initial condition that properly approximates a periodic upper-semicontinuous...
arXiv:2603.01967v1 Announce Type: new Abstract: A graph is perfectly divisible if for each of its induced subgraph $H$, $V(H)$ can be partitioned into $A$ and...
arXiv:2603.01977v1 Announce Type: new Abstract: We study the quantitative convergence of Wasserstein gradient flows of Kernel Mean Discrepancy (KMD) (also known as Maximum Mean Discrepancy...
arXiv:2603.01983v1 Announce Type: new Abstract: We provide an asymptotic analysis of a nonlinear integro-differential equation which describes the evolutionary dynamics of a population which reproduces...
arXiv:2603.01985v1 Announce Type: new Abstract: We consider Sobolev maps from a planar domain into a closed Riemannian manifold and their BV liftings via a double...
arXiv:2603.01988v1 Announce Type: new Abstract: A pair $(G,T)$ is called a faithful odd transposition group if $T$ is a normal set of involutions generating the...
arXiv:2603.01989v1 Announce Type: new Abstract: Change point detection for time series analysis is a difficult and important problem in applied statistics, for which a variety...
arXiv:2603.01994v1 Announce Type: new Abstract: We study a block mean-field Ising model with $N$ spins split into $s_N$ blocks, with Curie-Weiss interaction within blocks and...