Stay updated with the latest research and technology news
arXiv:2501.18830v3 Announce Type: replace Abstract: We construct two families of strongly regular Cayley graphs, or equivalently, partial difference sets, based on elementary abelian groups. The...
arXiv:2502.05298v2 Announce Type: replace Abstract: We introduce a general class $F_0$ of additive functions $f$ such that $f(p) = 1$ and prove a tight bound...
arXiv:2502.16726v2 Announce Type: replace Abstract: This work studies the dynamics of solutions to the sine-Gordon equation posed on a tadpole graph $G$ and endowed with...
arXiv:2503.04277v4 Announce Type: replace Abstract: We prove contact big fiber theorems, analogous to the symplectic big fiber theorem by Entov and Polterovich, using symplectic cohomology...
arXiv:2503.05599v2 Announce Type: replace Abstract: We prove and generalize some recent conjectures of Z.-W. Sun on infinite series whose summands involve products of harmonic numbers...
arXiv:2503.17773v2 Announce Type: replace Abstract: Let $p>3$ be a prime number, $f\geq1$ an integer. We consider a certain full subcategory $\mathcal C$ of the category...
arXiv:2503.20383v3 Announce Type: replace Abstract: It is known that the truncated Brown--Peterson spectra can be equipped with a certain nice algebra structure, by the work...
arXiv:2504.03460v3 Announce Type: replace Abstract: This article revisits standard theorems from elementary number theory from a constructive, algorithmic, and proof-theoretic perspective, framed within the theory...
arXiv:2504.13363v2 Announce Type: replace Abstract: Integrating sensing and communication (ISAC) can help overcome the challenges of limited spectrum and expensive hardware, leading to improved energy...
arXiv:2504.20688v2 Announce Type: replace Abstract: This paper introduces new structural decompositions for almost symmetric numerical semigroups through the combinatorial lens of Young diagrams. To do...
arXiv:2504.21098v4 Announce Type: replace Abstract: We investigate the distributions of subtrees connecting several vertices in the spanning trees of the complete graphs and their asymptotics.
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....