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arXiv:2403.19661v2 Announce Type: replace Abstract: Algebraic theories, sometimes called equational theories, are syntactic notions given by finitary operations and equations, such as monoids, groups, and...
arXiv:2404.15191v3 Announce Type: replace Abstract: We provide a categorical proof of convergence for martingales and backward martingales in mean, using enriched category theory. The enrichment...
arXiv:2405.07126v2 Announce Type: replace Abstract: We determine when the irreducible modules $L(c_{p, q}, h_{m, n})$ over the simple Virasoro vertex algebras $\operatorname{Vir}_{p, q}$, where $p,...
arXiv:2405.09195v2 Announce Type: replace Abstract: This work addresses the propagation of chaos properties in a class of moderately interacting particle systems for the approximation of...
arXiv:2406.19952v3 Announce Type: replace Abstract: We relate the theory of purity of a locally finitely presented category with products to the study of exact structures...
arXiv:2407.03888v4 Announce Type: replace Abstract: This paper studies the continuous-time reinforcement learning in jump-diffusion models by featuring the q-learning (the continuous-time counterpart of Q-learning) under...
arXiv:2407.03986v3 Announce Type: replace Abstract: In this paper we develop a general theoretical tool for the establishment of the boundedness of notoriously difficult operators (such...
arXiv:2407.07689v4 Announce Type: replace Abstract: We establish a bijection between binary even LCD codes and simple graphs whose adjacency matrices are idempotent over $\FF_2$. This...
arXiv:2407.14186v3 Announce Type: replace Abstract: In this paper, we study the Entropic Martingale Optimal Transport (EMOT) problem on \mathbb{R}. The investigation of the EMOT problem...
arXiv:2408.07164v2 Announce Type: replace Abstract: We give a sufficient condition on a positive integer $m$ for every stratum of a given real toric hyperplane arrangement...
arXiv:2408.09969v2 Announce Type: replace Abstract: We consider the Principal Chiral Field model posed in 1+1 dimensions into the Lie group $\text{SL}(2,\mathbb R)$. In this work...
arXiv:2409.12022v2 Announce Type: replace Abstract: Twistor spaces are certain compact complex threefolds with an additional real fibre bundle structure. We focus here on twistor spaces...
arXiv:2410.03041v4 Announce Type: replace Abstract: Total Variation Denoising (TVD) is a fundamental denoising and smoothing method. In this article, we identify a new local minmax/maxmin...
arXiv:2410.08904v2 Announce Type: replace Abstract: We consider the dilute Fermi gas in three dimensions interacting through a positive, radially symmetric, compactly supported and integrable potential...
arXiv:2410.13544v2 Announce Type: replace Abstract: We define a Young subgroup of the braid group as a subgroup generated by an arbitrary subset of the Birman-Ko-Lee...
arXiv:2410.14409v2 Announce Type: replace Abstract: We consider the problem of sampling from the ferromagnetic $q$-state Potts model on the random $d$-regular graph with parameter $\beta>0$....
arXiv:2411.03586v2 Announce Type: replace Abstract: We study (topological) pseudo-Anosov flows from the perspective of the associated group actions on their orbit spaces and boundary at...
arXiv:2411.04551v3 Announce Type: replace Abstract: Transformers are deep neural network architectures that underpin the recent successes of large language models. Unlike more classical architectures that...
arXiv:2411.05178v2 Announce Type: replace Abstract: We introduce and investigate several quantum group dynamical notions for the purpose of studying $C^*$-simplicity of discrete quantum groups via...
arXiv:2411.08398v2 Announce Type: replace Abstract: We introduce and study arithmetic polygons. We show that these arithmetic polygons are connected to triples of square pyramidal numbers....
arXiv:2411.19782v3 Announce Type: replace Abstract: We prove that the Patterson-Sullivan and Wigner distributions on the unit sphere bundle of a convex-cocompact hyperbolic surface are asymptotically...
arXiv:2412.06023v4 Announce Type: replace Abstract: For a Fano threefold admitting a full exceptional collection of vector bundles of length four we show that all full...
arXiv:2501.18226v2 Announce Type: replace Abstract: We study the quasi-uniformity properties of digital nets, a class of quasi-Monte Carlo point sets. Quasi-uniformity is a space-filling property...
arXiv:2501.19326v3 Announce Type: replace Abstract: In this paper we study substitutions on $A^\mathbb{Z}$ where $A$ is a finite alphabet. We precisely characterize the minimal components...