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arXiv:2602.11840v1 Announce Type: new Abstract: A graph $G$ is universal for a class of graphs $\mathcal{C}$, if, up to isomorphism, $G$ contains every graph in...
arXiv:2602.11843v1 Announce Type: new Abstract: Truncated Neumann series $S_k(A)=I+A+\cdots+A^{k-1}$ are used in approximate matrix inversion and polynomial preconditioning. In dense settings, matrix-matrix products dominate the...
arXiv:2602.11848v1 Announce Type: new Abstract: Here we show, in the second paper in a series of articles, methods to calculate propositional statements with algebraic polyno...
arXiv:2602.11849v1 Announce Type: new Abstract: We propose a unified framework that allows for the full mechanistic reconstruction of chemical reaction networks (CRNs) from concentration data....
arXiv:2602.11856v1 Announce Type: new Abstract: We analyse several constructions of random point sets on the sphere $\mathbb{S}^{3}\subset\mathbb{R}^4$ evaluating and comparing them through their discrete logarithmic...
arXiv:2602.11859v1 Announce Type: new Abstract: Starting from a subinvariant positive definite kernel under a branching pullback, we attach to the resulting kernel tower a canonical...
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...