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arXiv:2602.11867v1 Announce Type: new Abstract: For a smooth algebraic curve defined over a number field, one can associate a bipartite graph known as a dessin...
arXiv:2602.11870v1 Announce Type: new Abstract: We present the novel Reduced Basis Virtual Element Method (rbVEM) for solving the Laplace eigenvalue problem. This approach is based...
arXiv:2602.11872v1 Announce Type: new Abstract: Multi-objective integer optimization problems are hard to solve, mainly because the number of nondominated images is often extremely large. We...
arXiv:2602.11889v1 Announce Type: new Abstract: We study a singular elliptic problem driven by a mixed local-nonlocal operator of the form \begin{equation*} \begin{aligned} -\Delta_p u +...
arXiv:2602.11892v1 Announce Type: new Abstract: We prove several results about matroids and matroidal families associated with rigidity in dimension $2$. In particular, we establish new...
arXiv:2602.11900v1 Announce Type: new Abstract: We consider a Jordan domain diffeomorphic to a closed two-dimensional disk with a smooth boundary. Assuming the Gauss curvature of...
arXiv:2602.11901v1 Announce Type: new Abstract: In this letter, we develop a unified Cram\'{e}r-Rao bound (CRB) framework to characterize the fundamental performance limits of transmission activity...
arXiv:2602.11905v1 Announce Type: new Abstract: We extend the polynomial method of Chen--Garza-Vargas--Tropp--van Handel and Magee--Puder--van Handel for operator-norm bounds in random permutation models to the...
arXiv:2602.11906v1 Announce Type: new Abstract: Le Hou\'erou, Patey and Yokoyama defined a parameterized version of $\alpha$-largeness to prove that $\mathsf{WKL}_0 + \mathsf{RT}^2_2$ is a $\forall...
arXiv:2602.11913v1 Announce Type: new Abstract: We establish uniform lower and upper bounds for the eigenvalues of the Hodge Laplacian acting on differential forms on closed...
arXiv:2602.11915v1 Announce Type: new Abstract: We study an approximation scheme for a variational theory of quasi-static crack growth based on an eigendeformation approach. We consider...
arXiv:2602.11921v1 Announce Type: new Abstract: Controllability scores provide control-theoretic centrality measures that quantify the relative importance of state nodes in networked dynamical systems. We establish...
arXiv:2602.11922v1 Announce Type: new Abstract: Let $\mathcal{A}$ be a unital $C^\ast$-algebra equipped with a faithful tracial positive linear functional $\tau$. Denote by $\mathcal{A}_+$ its positive...
arXiv:2602.11926v1 Announce Type: new Abstract: We present an analysis of optimal quantization of probability measures with nonuniform densities on spherical curves. We begin by deriving...
arXiv:2602.11930v1 Announce Type: new Abstract: We obtain height, gradient, and curvature a priori estimates for a modified mean curvature flow in Riemannian manifolds endowed with...
arXiv:2602.11943v1 Announce Type: new Abstract: Given a DG ring $B$ and an integer $q \geq 0$, we construct the $q$-th cylinder DG ring $Cyl_q(B)$. For...
arXiv:2602.11946v1 Announce Type: new Abstract: The timeliness of collected information is essential for monitoring and control in data-driven intelligent infrastructures. It is typically quantified using...
arXiv:2602.11947v1 Announce Type: new Abstract: We present a new mixed-integer programming (MIP) approach for offline multiple change-point detection by casting the problem as a globally...
arXiv:2602.11948v1 Announce Type: new Abstract: Muon updates weight matrices along (approximate) polar factors of the gradients and has shown strong empirical performance in large-scale training....
arXiv:2602.11951v1 Announce Type: new Abstract: DNA data storage offers a high-density, long-term alternative to traditional storage systems, addressing the exponential growth of digital data. Composite...
arXiv:2602.11955v1 Announce Type: new Abstract: We study the optimal domains for bounded Volterra integration operators $T_g$ between distinct Hardy spaces $H^p$ and $H^q$ of the...
arXiv:2602.11971v1 Announce Type: new Abstract: In this paper we provide a simple proof that for several sites of interest in differential geometry, the local projective...
arXiv:2602.11972v1 Announce Type: new Abstract: We present a hybrid a-priori/a-posteriori goal oriented error estimator for a combination of dynamic iteration-based solution of ordinary differential equations...
arXiv:2602.11976v1 Announce Type: new Abstract: Given a self-adjoint matrix $A$ and an index $h$ such that $\lambda_h(A)$ lies in a cluster of eigenvalues of $A$,...