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arXiv:2603.00672v1 Announce Type: new Abstract: Let C be a projective curve defined over a field k and let D be a divisor of C. The...
arXiv:2603.00673v1 Announce Type: new Abstract: Let $l\ge 1$ be an integer. For any multiple index $\mathbf{s}=(s_1,s_2,\cdots,s_l)\in\mathbb{Z}_{\geq 1}^l$ with $s_l>1$, the multiple zeta value (MZV for...
arXiv:2603.00674v1 Announce Type: new Abstract: For each countable ordinal $\alpha \ge 2$, the ideals $\mathsf{conv}_\alpha$ were introduced in ``Critical ideals for countable compact spaces'' (to...
arXiv:2603.00677v1 Announce Type: new Abstract: We introduce a persistence-type invariant for finite weighted graphs based on combinatorial multivector dynamics. For each threshold parameter, a relation...
arXiv:2603.00679v1 Announce Type: new Abstract: We introduce the concept of an almost prime number generalizing a prime number. It turns out that a composite almost...
arXiv:2603.00681v1 Announce Type: new Abstract: In this paper, we consider the asymptotic behavior of the ground state solution $u_s$ of the nonlinear fractional Laplacian equation...
arXiv:2603.00684v1 Announce Type: new Abstract: We investigate Tree Iterated Function Systems (TIFSs), which we introduce in this paper. TIFSs are the generalizations of Iterated Function...
arXiv:2603.00690v1 Announce Type: new Abstract: Molecular communication (MC) enables information exchange in nanoscale sensor networks operating in biological environments, yet privacy remains largely unaddressed. We...
arXiv:2603.00692v1 Announce Type: new Abstract: The \textsc{Dominating Set} problem is a classical and extensively studied topic in graph theory and theoretical computer science. In this...
arXiv:2603.00693v1 Announce Type: new Abstract: Fubini rankings with $n$ competitors are $n$-tuples with entries in $[n]=\{1,2,3,\ldots, n\}$ that encode the conclusion of a race that...
arXiv:2603.00705v1 Announce Type: new Abstract: We study the mixing time of the averaging process on a large random $d$-regular graph, $d\ge 3$, and prove an...
arXiv:2603.00709v1 Announce Type: new Abstract: Predicting the response of an observed system to a known input is a fruitful first step to accurately control the...
arXiv:2603.00713v1 Announce Type: new Abstract: We study a stochastic optimal control problem motivated by the operation of a large ensemble of residential storage devices coordinated...
arXiv:2603.00715v1 Announce Type: new Abstract: This paper is concerned with Tur\'{a}n problems for (alternating) multilinear maps, with the aim of determining the maximum dimension $k$,...
arXiv:2603.00723v1 Announce Type: new Abstract: A theorem of Manin and Drinfeld states that any divisor of degree $0$ on the cusps of a modular curve...
arXiv:2603.00733v1 Announce Type: new Abstract: We prove \cite[Conjecture~5.17]{Clausen} on the local light--profinite structure of smooth $p$-adic analytic Artin stacks. The argument proceeds in several reductions....
arXiv:2603.00747v1 Announce Type: new Abstract: We study problems on uniqueness sets ($U$-sets) for multiple Walsh series converging over cubes and the properties of the coefficients...
arXiv:2603.00748v1 Announce Type: new Abstract: We analyze the long-time behavior of solutions to semilinear parabolic equations in Euclidean space that arise as gradient flows of...
arXiv:2603.00750v1 Announce Type: new Abstract: A simple integral representation involving no derivatives or continuity assumptions is given for proper single-event scoring rules.
arXiv:2603.00752v1 Announce Type: new Abstract: In this paper we give a construction for a linear quotient ordering of a class of products of two ideals...
arXiv:2603.00758v1 Announce Type: new Abstract: Dynamists have been studying Hamiltonian systems for a long time. However, many physical systems are dissipative and do not preserve...
arXiv:2603.00765v1 Announce Type: new Abstract: In this work, we study local minimizers of elliptic functionals with strong absorption terms and unbounded, sign-changing sources. These problems...
arXiv:2603.00768v1 Announce Type: new Abstract: In this article, we continue our recent investigations on bilinear sums and additive energies with modular square roots. Here we...
arXiv:2603.00769v1 Announce Type: new Abstract: Solving parabolic optimal control problems can be inherently challenging in the field of science and engineering, especially with constraints on...