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arXiv:2507.05632v2 Announce Type: replace Abstract: We prove various finite de Finetti theorems for non-commutative distributions which are invariant under the free easy quantum group actions....
arXiv:2507.08662v2 Announce Type: replace Abstract: We prove functional equations for multiple Dirichlet series defined by a collection of five geometric axioms. We find functional equations...
arXiv:2507.11779v4 Announce Type: replace Abstract: We consider a class of multi-agent distributed synchronization systems, which are modeled as $n$ particles moving on the real line....
arXiv:2507.22509v2 Announce Type: replace Abstract: In 2012, Ne\v{s}et\v{r}il and Ossona de Mendez proved that graphs of bounded degeneracy that have a path of order $n$...
arXiv:2507.23561v2 Announce Type: replace Abstract: The purpose of this note is to prove a conjecture of Shvartsman relating a complex projective reflection group with the...
arXiv:2508.01039v2 Announce Type: replace Abstract: We construct calibrated submanifolds in Euclidean space invariant under the action of a Lie group $G$. We first demonstrate the...
arXiv:2508.05530v2 Announce Type: replace Abstract: While mutual information effectively quantifies dependence between two variables, it does not by itself reveal the complex, fine-grained interactions among...
arXiv:2508.06855v2 Announce Type: replace Abstract: We study the $a$-sequence $(a_0(G), a_1(G), \cdots)$ of a finite simple graph $G$, defined recursively through a combinatorial rule and...
arXiv:2508.07936v4 Announce Type: replace Abstract: We propose a hybrid estimation procedure to estimate global fixed parameters and subject-specific random effects in a mixed fractional Black-Scholes...
arXiv:2508.19216v3 Announce Type: replace Abstract: We rigorously establish the existence of dark-bright solitons as traveling wave solutions to a one dimensional defocusing Gross-Pitaevskii system, a...
arXiv:2509.07786v2 Announce Type: replace Abstract: In this article, using variable matrix ${\mathscr{A}}_{p(\cdot),\infty}$ weights, we introduce the matrix-weighted variable Besov space $B^{s(\cdot)}_{p(\cdot),q(\cdot)}(W)$ and the corresponding averaging...
arXiv:2509.16162v2 Announce Type: replace Abstract: We consider constrained-degree percolation on the hypercubic lattice. Initially, all edges are closed, and each edge independently attempts to open...
arXiv:2509.19273v3 Announce Type: replace Abstract: The mean time taken by an irreducible Markov chain on a finite state space to hit a target chosen at...
arXiv:2509.19905v3 Announce Type: replace Abstract: The algebra of $R$-valued functions on the set of chambers of a real hyperplane arrangement is called the Varchenko-Gelfand (VG)...
arXiv:2509.21529v2 Announce Type: replace Abstract: We study zero forcing and $\ell$-leaky zero forcing on induced subgraphs of $d$-dimensional grid graphs. Using $\ell$-leaky forts, we prove...
arXiv:2509.23403v2 Announce Type: replace Abstract: Let K be a CM-field, i.e., a totally complex quadratic extension of a totally real field F. Let X be...
arXiv:2510.02273v2 Announce Type: replace Abstract: Using analytic number theory techniques, Altu\u{g} showed that the contribution of the trivial representation to the Arthur-Selberg trace formula for...
arXiv:2510.03692v2 Announce Type: replace Abstract: The objective of this paper is to provide a new mathematical tool for fish migration that has not been studied...
arXiv:2510.09922v2 Announce Type: replace Abstract: We prove that any non-symmetric ribbon tensor category $\mathcal{C}$ with the fusion rules of the compact group of type $G_2$...
arXiv:2510.17230v3 Announce Type: replace Abstract: Let $X$ be a smooth complex prime Fano fourfold having a semi-free action of $\mathbb{C}^*$, then $X$ is contained in...
arXiv:2510.21617v2 Announce Type: replace Abstract: We present a performant gradient method for smooth convex optimization, drawing inspiration from several recent advances in the field. Our...
arXiv:2510.23200v2 Announce Type: replace Abstract: We discuss several congruences satisfied by the coefficients of meromorphic modular forms, or equivalently, the $p$-adic behaviors of meromorphic modular...
arXiv:2510.23411v2 Announce Type: replace Abstract: Border bases are a generalization of Gr\"obner bases for zero-dimensional ideals in polynomial rings. In this article, we introduce border...
arXiv:2510.27225v2 Announce Type: replace Abstract: We study a singular stochastic equation driven by a regular noise of fractional Brownian type with Hurst index $H \in...