Acyclic colourings of graphs with obstructions
arXiv:2211.08417v2 Announce Type: replace Abstract: Given a graph $G$, a colouring of $G$ is \emph{acyclic} if it is a proper colouring of $G$ and every...
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arXiv:2211.08417v2 Announce Type: replace Abstract: Given a graph $G$, a colouring of $G$ is \emph{acyclic} if it is a proper colouring of $G$ and every...
arXiv:2212.02653v4 Announce Type: replace Abstract: We explore new interactions between finite model theory and classical streams of universal algebra and semigroup theory. A key result...
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arXiv:2308.00651v4 Announce Type: replace Abstract: Markov categories have recently turned out to be a powerful high-level framework for probability and statistics. They accommodate purely categorical...
arXiv:2308.03438v4 Announce Type: replace Abstract: Given a monotone Lagrangian $L$ in a compact symplectic manifold $X$, we construct a commutative diagram relating the closed-open string...
arXiv:2308.12195v4 Announce Type: replace Abstract: In this paper we prove motivic versions of the Langlands-Shelstad Fundamental Lemma and Ng\^o's Geometric Stabilization. To achieve this, we...
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arXiv:2401.03618v4 Announce Type: replace Abstract: For any integer $n \geq 2$, we establish $L^p(\R^n)$ inequalities for the $r$-variations of Stein-Wainger type oscillatory integral operators with...
arXiv:2401.03663v3 Announce Type: replace Abstract: Let $p$ be prime, and let $p_{[1,p]}(n)$ denote the function whose generating function is $\prod (1-q^n)^{-1}(1 - q^{pn})^{-1}$. This function...
arXiv:2402.18907v3 Announce Type: replace Abstract: We investigate boundary estimates for elliptic operators with stationary random coefficients exhibiting integrable correlations, arising from stochastic homogenization theory. As...
arXiv:2403.04555v3 Announce Type: replace Abstract: We develop the notion of Wilf-Zeilberger seeds as a powerful framework for generating WZ-pairs and for lifting classical hypergeometric identities...
arXiv:2403.18611v2 Announce Type: replace Abstract: In this paper, we construct explicit families of polynomials $P \in \mathbb{F}_q[x_1,\dots,x_n]$ with large root sets which have restricted intersections...
arXiv:2406.08852v3 Announce Type: replace Abstract: We show: the Floer homology over the Novikov ring of (nonexact!) rational Lagrangians in an (nonexact!) integral symplectic manifold can...
arXiv:2406.13761v2 Announce Type: replace Abstract: Matrix evolution equations occur in many applications, such as dynamical Lyapunov/Sylvester systems or Riccati equations in optimization and stochastic control,...
arXiv:2407.00493v2 Announce Type: replace Abstract: We prove that the maximal number of conics, a priori irreducible of reducible, on a smooth spatial quartic surface is...
arXiv:2407.07559v3 Announce Type: replace Abstract: Given a random sample from a density function supported on a manifold $M$, a new method for the estimating highest...
arXiv:2407.11898v3 Announce Type: replace Abstract: We investigate for which Gaussian processes there do or do not exist reproducing kernel Hilbert spaces (RKHSs) that contain almost...
arXiv:2407.12149v3 Announce Type: replace Abstract: Gaussian random fields play an important role in many areas of science and engineering. In practice, they are often simulated...
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arXiv:2408.14041v3 Announce Type: replace Abstract: A square-tiled surface (STS) is a (finite, possibly branched) cover of the standard square-torus with possible branching over exactly 1...
arXiv:2409.06184v4 Announce Type: replace Abstract: We propose a policy iteration method to solve an inverse problem for a mean-field game (MFG) model, specifically to reconstruct...
arXiv:2409.19588v2 Announce Type: replace Abstract: In this paper, we consider a class of nonconvex-linear minimax problems on Riemannian manifolds, which find wide applications in machine...