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arXiv:2602.17495v1 Announce Type: new Abstract: This paper analyzes a stochastic Allen--Cahn equation for the dynamics of biomolecular damage and repair. The system is driven by...
arXiv:2602.17501v1 Announce Type: new Abstract: In this paper, we provide the lower bounds of the first non-zero basic eigenvalue on a closed singular Riemannian manifold...
arXiv:2602.17506v1 Announce Type: new Abstract: In the three-body problem with positive energy, solutions which avoid triple collision have the property that the size of the...
arXiv:2602.17507v1 Announce Type: new Abstract: The aim of this work is to apply a semi-implicit (SI) strategy within a Rosenbrock-type and IMEX linear multistep (LM)...
arXiv:2602.17516v1 Announce Type: new Abstract: We present a new method for computing the action of the matrix exponential on a vector, $e^{At}v$. The proposed approach...
arXiv:2602.17523v1 Announce Type: new Abstract: The proof of \cite[Proposition 2.1]{DKS}[arXiv:1104.0232] is partially incorrect. In this short note, we provide a new proof, which requires an...
arXiv:2602.17545v1 Announce Type: new Abstract: The paper studies decentralized optimization over networks, where agents minimize a sum of {\it locally} smooth (strongly) convex losses and...
arXiv:2602.17549v1 Announce Type: new Abstract: Let $d\geq 2$ and let $\mathrm{Mfld}_{d,\mathrm{emb}}^{\mathrm{CO}}$ be the symmetric monoidal category of oriented Riemannian $d$-manifolds and conformal open embeddings. The...
arXiv:2602.17562v1 Announce Type: new Abstract: We examine when differentially flat nonlinear control systems with more than two inputs can be rendered static feedback linearizable by...
arXiv:2602.17565v1 Announce Type: new Abstract: Self-distillation (SD) is the process of retraining a student on a mixture of ground-truth labels and the teacher's own predictions...
arXiv:2602.17567v1 Announce Type: new Abstract: We prove that whenever $d=d(n)\to\infty$ and $n-d\to\infty$ as $n\to\infty$, then with high probability for any non-trivial initial colouring, the colour...
arXiv:2602.17570v1 Announce Type: new Abstract: We consider hypothetical solutions of 3D Euler which blow up in finite time in a self-similar fashion. We prove that...
arXiv:2602.17578v1 Announce Type: new Abstract: The dynamic programming approach is one of the most powerful ones in optimal control. However, when dealing with optimal control...
arXiv:2602.17579v1 Announce Type: new Abstract: Functional inequalities such as the Poincar\'e and log-Sobolev inequalities quantify convergence to equilibrium in continuous-time Markov chains by linking generator...
arXiv:2602.17587v1 Announce Type: new Abstract: We study one-sided and $\alpha$-correct sequential hypothesis testing for data generated by an ergodic Markov chain. The null hypothesis is...
arXiv:2602.17613v1 Announce Type: new Abstract: This paper is about spherical maximal functions with general dilation sets acting on functions in weighted $L^p(|x|^\alpha)$ spaces. Aside from...
arXiv:2602.17617v1 Announce Type: new Abstract: Let $f\colon X \to \mathbb{A}^1_t$ be an affine flat morphism of finite type, and let $V = f^{-1}(0)$. Then, we...
arXiv:2602.17627v1 Announce Type: new Abstract: We outline an approach to obtain direct $L^2$ estimates not requiring interpolation for so-called linearized partial sums operators associated with...
arXiv:2602.17628v1 Announce Type: new Abstract: We prove that the point process of the eigenvalues of real or complex non-Hermitian matrices $X$ with independent, identically distributed...
arXiv:2602.17629v1 Announce Type: new Abstract: We discuss some properties of the distance functions on Riemannian manifolds and we relate their behavior to the geometry of...
arXiv:2602.17630v1 Announce Type: new Abstract: The basic input for many real shapes is a finite cloud of unordered points. The strongest equivalence between shapes in...
arXiv:2602.17637v1 Announce Type: new Abstract: Let $P$ be a set of $n$ points in the plane, not all on a line, each colored \emph{red} or...
arXiv:2602.17661v1 Announce Type: new Abstract: We introduce new families of quandles that serve as invariants for classifying closed orientable surfaces. These families generalize the classical...
arXiv:2512.07902v1 Announce Type: cross Abstract: We revisit the Pauli-Clifford connection to introduce a real, grade-preserving algebraic framework for $N$-qubit quantum computation based on the tensor...