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arXiv:2602.01458v1 Announce Type: new Abstract: The purpose of this note is to show that a connection with closed skewsymmetric torsion and reducible holonomy admits a...
arXiv:2602.01460v1 Announce Type: new Abstract: Policy-gradient methods are widely used in reinforcement learning, yet training often becomes unstable or slows down as learning progresses. We...
arXiv:2602.01463v1 Announce Type: new Abstract: We answer three questions posed by Bourin and Lee on symmetric moduli and related orbit inequalities in \cite{BL26}. First, we...
arXiv:2602.01464v1 Announce Type: new Abstract: We construct locally recoverable codes with hierarchy from surfaces in $\mathbb{A}^3$ admitting a fibration by curves of Artin-Schreier or Kummer...
arXiv:2602.01467v1 Announce Type: new Abstract: This paper introduces a new functional expansion framework that extends classical ideas beyond the Taylor series. Unlike traditional Taylor expansions...
arXiv:2602.01471v1 Announce Type: new Abstract: Let $\mathcal{F}$ be a family of $k$-sized subsets of $[n]$ that does not contain $s$ pairwise disjoint subsets. The Erd\H{o}s...
arXiv:2602.01473v1 Announce Type: new Abstract: We consider a geometric theta correspondence from the first homology of a modular curve, to modular forms of weight $2$....
arXiv:2602.01476v1 Announce Type: new Abstract: Mixed-integer optimization solvers often find optimal solutions early in the search, yet spend the majority of computation time proving optimality....
arXiv:2602.01478v1 Announce Type: new Abstract: We introduce $\textit{Laver ultrafilters}$, namely ultrafilters $\mathcal{U}$ for which the associated Laver forcing $\mathbb{L}_{\mathcal{U}}$ has the Laver property. We give...
arXiv:2602.01484v1 Announce Type: new Abstract: We show that a large square of sidelength $x$ can be packed by unit squares in a manner so that...
arXiv:2602.01487v1 Announce Type: new Abstract: We study the spectral stability of travelling and stationary front and pulse solutions in a class of degenerate reaction-diffusion systems....
arXiv:2602.01488v1 Announce Type: new Abstract: We study weighted simultaneous rational approximation to points of the form $(1,\xi,\xi^2)$, for a class of extremal real numbers $\xi$,...
arXiv:2602.01497v1 Announce Type: new Abstract: Degenerate Cahn-Hilliard phase-field models provide a robust approximation of surface-diffusion-driven interface motion without explicit front tracking. In computations, however, the...
arXiv:2602.01498v1 Announce Type: new Abstract: Neural operators are neural network-based surrogate models for approximating solution operators of parametric partial differential equations, enabling efficient many-query computations...
arXiv:2602.01499v1 Announce Type: new Abstract: We introduce the tree-decomposition-based parameter totally $\Delta$-modular treewidth (TDM-treewidth) for matrices with two nonzero entries per row. We show how...
arXiv:2602.01506v1 Announce Type: new Abstract: Traffic waves, the spatiotemporal propagation of congestion, are a key feature of traffic flow. As Adaptive Cruise Control (ACC) systems...
arXiv:2602.01507v1 Announce Type: new Abstract: It is known by Wall that any two orthogonal bases of every stable 4-sphere are transformed into each other by...
arXiv:2602.01512v1 Announce Type: new Abstract: Let $\mbox{odd}(G)$ and $i(G)$ denote the number of nontrivial odd components and the number of isolated vertices of a graph...
arXiv:2602.01514v1 Announce Type: new Abstract: For positive integers $r
arXiv:2602.01529v1 Announce Type: new Abstract: The paper is devoted to well-posedness analysis and the numerical solution of a family of general elliptic mixed variational-hemivariational inequalities....
arXiv:2602.01555v1 Announce Type: new Abstract: This paper presents a novel design framework for protograph-based LDPC codes that simultaneously achieves full diversity in block-fading channels (BFCs)...
arXiv:2602.01557v1 Announce Type: new Abstract: In this note, we show that the conical solution-operator method of Mao-Tao in [Localized initial data for Einstein equations] applies...
arXiv:2602.01562v1 Announce Type: new Abstract: Let G=(V(G),E(G)) be a connected simple graph with n vertices and m edges. A bijection f from the edge set...
arXiv:2602.01569v1 Announce Type: new Abstract: We introduce a novel regularization framework for the two-dimensional incompressible Euler equation that exactly preserves the transport structure of multi-phase...