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arXiv:2510.10725v2 Announce Type: replace Abstract: There are several recent works where authors have shown that number fields $K$ with `sufficiently many' units and cyclic class...
arXiv:2510.12442v2 Announce Type: replace Abstract: Recently, weighted cumulative residual Tsallis entropy has been introduced in the literature as a generalization of weighted cumulative residual entropy....
arXiv:2510.22585v2 Announce Type: replace Abstract: The problem of characterizing sequences of real numbers that arise as spectra of Dirichlet-to-Neumann (DtN) maps for elliptic operators has...
arXiv:2510.23885v2 Announce Type: replace Abstract: The theory of ternary $\Gamma$-semirings extends classical ring and semiring frameworks by introducing a ternary product controlled by a parameter...
arXiv:2511.06903v2 Announce Type: replace Abstract: We show that, for $n \geq 3 $, 1-cocycles of degree zero on the Lie algebra of derivations of the...
arXiv:2511.10625v2 Announce Type: replace Abstract: A well-defined distance on the parameter space is key to evaluating estimators, ensuring consistency, and building confidence sets. While there...
arXiv:2511.11176v2 Announce Type: replace Abstract: We extend the characterization of stable subgroups of right-angled Artin groups of Koberda, Mangahas and Taylor to the case of...
arXiv:2511.12055v4 Announce Type: replace Abstract: In this work, we propose data-integrated neural networks (DataInNet) for solving partial differential equations (PDEs), offering a novel approach to...
arXiv:2511.15843v2 Announce Type: replace Abstract: We present constructions and bounds for additive codes over a finite field in terms of their geometric counterpart, i.e., projective...
arXiv:2511.18545v2 Announce Type: replace Abstract: A real morphism $f$ from a real algebraic curve $X$ to $\mathbb{P}^1$ is called separating if $f^{-1}(\mathbb{R} \mathbb{P}^1) = \mathbb{R}...
arXiv:2512.00985v2 Announce Type: replace Abstract: Links in practical systems, such as satellite--terrestrial integrated networks, exhibit distinct delay distributions, intermittent availability, and heterogeneous energy costs. These...
arXiv:2512.01070v3 Announce Type: replace Abstract: We study the geometry of the fixed-rank core covariance manifold and propose a novel covariance estimator for matrix-variate data leveraging...
arXiv:2512.07243v2 Announce Type: replace Abstract: In coding theory, handling errors that occur when symbols are inserted or deleted from a transmitted message is a long-standing...
arXiv:2512.08099v2 Announce Type: replace Abstract: The Radon cumulative distribution transform (R-CDT) exploits one-dimensional Wasserstein transport and the Radon transform to represent prominent features in images....
arXiv:2512.08651v2 Announce Type: replace Abstract: We study L-equivalence in the Grothendieck ring of varieties and its interaction with categorical invariants of cubic fourfolds. Assuming a...
arXiv:2512.11504v2 Announce Type: replace Abstract: In this paper we relate the location of the complex zeros of the reliability polynomial to parameters at which a...
arXiv:2512.12239v2 Announce Type: replace Abstract: We prove classical Taylor polynomial theorems for sub-Riemannian manifolds that are obtained as the submetric image of a Carnot group....
arXiv:2512.13849v2 Announce Type: replace Abstract: We provide a new exponent for the Sum-Product conjecture on $\mathbb{R} $. Namely for $A \subset \mathbb{R}$ finite, \[ \max...
arXiv:2512.16118v2 Announce Type: replace Abstract: Let $\mathbb F_q$ be the finite field of $q$ elements having characteristic $p$, and denote by $\mathbb K_\infty=\mathbb F_q((1/t))$ the...
arXiv:2512.17712v3 Announce Type: replace Abstract: This contribution provides numerical experiments for a finite volume scheme for an approximation of the stochastic Allen-Cahn equation with homogeneous...
arXiv:2512.22346v2 Announce Type: replace Abstract: Extending the works of Alladi and Sweeting and Woo, we state and prove the general higher order duality between prime...
arXiv:2601.01681v2 Announce Type: replace Abstract: We prove that for (compact) finite-rank median algebras the geometric rank equals the independence number of all (continuous) median-preserving functions...
arXiv:2601.02001v2 Announce Type: replace Abstract: Real-world systems often evolve on different timescales and possess multiple coexisting stable states. Whether or not a system returns to...
arXiv:2601.02279v2 Announce Type: replace Abstract: In this article, we present several different ways to define hyperconvexity in partial metric spaces. In particular, we show that...