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arXiv:2504.21607v2 Announce Type: replace Abstract: In this work we establish the optimality and the stability of the ball for the Sobolev trace operator $W^{1,p}(\Omega)\hookrightarrow L^q(\partial\Omega)$...
arXiv:2504.21829v5 Announce Type: replace Abstract: We first develop some criteria for a general divisor to be strongly Euler-homogeneous in terms of the Fitting ideals of...
arXiv:2505.07156v2 Announce Type: replace Abstract: We present a field-of-values (FOV) analysis for preconditioned nonsymmetric saddle-point linear systems, where zero is included in the field of...
arXiv:2505.12095v2 Announce Type: replace Abstract: Khovanov homology and singular instanton Floer homology are both functorial with respect to link cobordisms. Although the two homology groups...
arXiv:2505.18362v2 Announce Type: replace Abstract: We develop a general theoretical framework for optimal probability density control on standard measure spaces, aimed at addressing large-scale multi-agent...
arXiv:2505.23322v2 Announce Type: replace Abstract: In Quillen's paper on rational homotopy theory, the category of 1-reduced simplicial sets is endowed with a family of model...
arXiv:2506.09394v3 Announce Type: replace Abstract: The randomized coordinate descent (RCD) method is a classical algorithm with simple, lightweight iterations that is widely used for various...
arXiv:2506.19318v2 Announce Type: replace Abstract: This paper deals with the problem of global solvability and boundedness of classical solutions to a fully parabolic chemotaxis system...
arXiv:2506.21078v2 Announce Type: replace Abstract: Integrated sensing and communications (ISAC) is considered a key enabler to support application scenarios such as the Internet-of-Things (IoT) in...
arXiv:2506.22725v2 Announce Type: replace Abstract: In this article, we propose a preconditioned Halpern iteration with adaptive anchoring parameters (PHA) by integrating a preconditioner and Halpern...
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)...