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arXiv:2409.08048v5 Announce Type: replace Abstract: We construct entire curves in projective spaces that exhibit frequent hypercyclicity under translations along countably many prescribed directions while maintaining...
arXiv:2409.19893v2 Announce Type: replace Abstract: We characterize real elliptic differential systems whose solutions can be expressed in terms of holomorphic solutions to an associated holomorphic...
arXiv:2411.04100v3 Announce Type: replace Abstract: We introduce novel estimators for computing the curvature, tangent spaces, and dimension of data from manifolds, using tools from diffusion...
arXiv:2411.07981v2 Announce Type: replace Abstract: We establish an upper bound on the minimum codegree necessary for the existence of spanning, fractional Steiner triple systems in...
arXiv:2411.11417v3 Announce Type: replace Abstract: Let $k$ be an uncountable algebraically closed field of positive characteristic and let $S$ be a smooth projective connected surface...
arXiv:2411.14084v3 Announce Type: replace Abstract: Numerical homogenization methods aim at providing appropriate coarse-scale approximations of solutions to (elliptic) partial differential equations that involve highly oscillatory...
arXiv:2412.14782v2 Announce Type: replace Abstract: Double circuits were introduced by Lov\'{a}sz in 1980 as a fundamental tool in his derivation of a min-max formula for...
arXiv:2412.15839v2 Announce Type: replace Abstract: We study solutions of the parametric set-theoretic reflection equation from an algebraic perspective by employing recently derived generalizations of the...
arXiv:2412.17033v3 Announce Type: replace Abstract: In this second part we study first the group $Aut_{\mathbb Q}(S)$ of numerically trivial automorphisms of an algebraic properly elliptic...
arXiv:2412.18698v4 Announce Type: replace Abstract: We show a strong factorization theorem of Dixmier-Malliavin type for ultradifferentiable vectors associated with compact Lie group representations on sequentially...
arXiv:2412.19503v4 Announce Type: replace Abstract: Inspired by the study of the minimal excludant in integer partitions by G.E. Andrews and D. Newman, we introduce a...
arXiv:2501.02624v2 Announce Type: replace Abstract: Approximate Leave-One-Out Cross-Validation (ALO-CV) is a method that has been proposed to estimate the generalization error of a regularized estimator...
arXiv:2501.02942v3 Announce Type: replace Abstract: Building on the blueprint from Goemans and Williamson (1995) for the Max-Cut problem, we construct a polynomial-time approximation algorithm for...
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.