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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 $A$,...
arXiv:2602.11981v1 Announce Type: new Abstract: Adaptive Kuramoto models admit a variety of nontrivial phase-locked configurations, including antipodal and rotating-wave states. A central open question is...
arXiv:2602.11984v1 Announce Type: new Abstract: The paper contributes to the structure theory of primitive axial algebras. For a primitive axial algebra $A$ with a Frobenius...
arXiv:2602.11986v1 Announce Type: new Abstract: In this paper, we study the achievable performance of dirty paper coding for the Gaussian broadcast channel (BC) with finite...
arXiv:2602.11987v1 Announce Type: new Abstract: We study the inverse boundary value problem of detecting a non-uniform conductivity motivated by pacing-guided ablation in cardiac electrophysiology. At...
arXiv:2602.11990v1 Announce Type: new Abstract: For a graph $G$, $\chi(G)$ denotes the chromatic number of $G$ and $\omega(G)$ denotes the size of the largest clique...
arXiv:2602.11991v1 Announce Type: new Abstract: In this paper, we investigate interior gradient estimates for solutions to the mean curvature equation $$ \dive \left( \frac{\nabla u}{\sqrt{1...
arXiv:2602.11999v1 Announce Type: new Abstract: We study the local convergence of diffusive mean-field systems, including Wasserstein gradient flows, min-max dynamics, and multi-species games. We establish...
arXiv:2602.12000v1 Announce Type: new Abstract: Using techniques of conformal bootstrap, we propose analytical expressions for a large class of two-point functions of bulk fields in...
arXiv:2602.12001v1 Announce Type: new Abstract: Let $f\in C^1(\mathbb{R})$. We study stable solutions $u$ of the mean curvature equation \[ \operatorname{div}\left( \frac{\nabla u}{\sqrt{1+|\nabla u|^2}} \right) =...
arXiv:2602.12006v1 Announce Type: new Abstract: We present a novel approach to the proof of Peng's maximum principle for McKean-Vlasov stochastic differential equations (SDE). The main...