Catching jumps of metric-valued mappings with Lipschitz functions
arXiv:2603.03869v1 Announce Type: new Abstract: It follows from recent results of V. Bakhtin, R. Oleinik, and the second named author that, given a metric space...
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arXiv:2603.03869v1 Announce Type: new Abstract: It follows from recent results of V. Bakhtin, R. Oleinik, and the second named author that, given a metric space...
arXiv:2603.03873v1 Announce Type: new Abstract: To a height-$1$ formal group defined over the ring of integers of a finite extension $K$ of $\mathbb{Q}_p$ is attached...
arXiv:2603.03876v1 Announce Type: new Abstract: Magnetic resonance imaging (MRI) is central to the diagnosis of multiple sclerosis, where the identification of biomarkers such as the...
arXiv:2603.03886v1 Announce Type: new Abstract: We resolve a question posed by Benedetti and Sagan by constructing a signreversing involution on Takeuchi's expansion that yields the...
arXiv:2603.03889v1 Announce Type: new Abstract: Let \( \ell_n(x) \) denote the maximal run-length among the first \( n \) digits of the L\"{u}roth expansion of...
arXiv:2603.03891v1 Announce Type: new Abstract: We consider the non-homogeneous first-order differential equation with hysteresis described by the Krasnoselskii-Pokrovskii rate-independent hysteresis operator. Existence and uniqueness of...
arXiv:2603.03894v1 Announce Type: new Abstract: We compute the canonical form of the cosmological polytope for any graph in terms of the dual of the shifted...
arXiv:2603.03898v1 Announce Type: new Abstract: We study the translational motions of homonuclear diatomic molecules prepared in their ${}^3\Sigma$ electronic states, deeply bound vibrational states, and...
arXiv:2603.03901v1 Announce Type: new Abstract: The uncontrolled proliferation of cancer cells and their interaction with healthy tissue poses a major challenge in oncology. This manuscript...
arXiv:2603.03908v1 Announce Type: new Abstract: We establish the asymptotic sharpness of a Nikolskii type inequality proved by A. Baranov and R. Zarouf for rational functions...
arXiv:2603.03910v1 Announce Type: new Abstract: We investigate the Maximal Entropy Simple Symmetric Exclusion Process (MESSEP) on a discrete ring with L sites and N indistinguishable...
arXiv:2603.03913v1 Announce Type: new Abstract: For integers $n \ge 3$ and $r \ge 1$, let $\Gamma_{n,r}$ be the alternating-oriented digraph obtained by gluing $r$ directed...
arXiv:2603.03923v1 Announce Type: new Abstract: Let $X$ be a conical symplectic variety admitting a crepant resolution $Y$. Based on the theory of universal Poisson deformations,...
arXiv:2603.03933v1 Announce Type: new Abstract: We propose an implicit-explicit trust region method for computing second-order stationary points of a class of Landau-type free energy functionals,...
arXiv:2603.03936v1 Announce Type: new Abstract: Data approximation is essential in fields such as geometric design, numerical PDEs, and curve modeling. Moving Least Squares (MLS) is...
arXiv:2603.03940v1 Announce Type: new Abstract: Beamforming is a fundamental technology that not only enhances communication efficiency but also lays the foundation for massive multiple-input multiple-output~(MIMO)...
arXiv:2603.03943v1 Announce Type: new Abstract: We propose a method to identify nonlinear acyclic networks in continuous time when the dynamics are located on the edges...
arXiv:2603.03948v1 Announce Type: new Abstract: In cell-free massive MIMO, centralized precoding is {theoretically known} to {remarkably} outperform its distributed counterparts, albeit {with} high implementation complexity....
arXiv:2603.03958v1 Announce Type: new Abstract: Motivated by ill-posed PDEs such as $\mathrm{div} (v) = F$ we study locally convex topologies $\mathcal{T}_{\mathcal{C}}$ on real vector spaces...
arXiv:2603.03962v1 Announce Type: new Abstract: We obtain new lower and upper bounds for the numerical radius of a bounded linear operator $A$ on a complex...
arXiv:2603.03966v1 Announce Type: new Abstract: Let $\mathcal{G}=\{G_1, G_2, \ldots , G_k\}$ be a family of bipartite graphs on the same vertex set. A rainbow Hamilton...
arXiv:2603.03972v1 Announce Type: new Abstract: We consider a sparse i.i.d.\ non-Hermitian random matrix model $X_n$ (with sparsity parameter $K_n$) and a deterministic finite-rank perturbation $E_n$....
arXiv:2603.03974v1 Announce Type: new Abstract: This paper establishes strong and weak convergence rates for slow-fast systems driven by $\alpha$-stable processes with jump coefficients. Unlike existing...
arXiv:2603.03982v1 Announce Type: new Abstract: The graded Lie algebra associated with the Nottingham group over a field of prime characteristic serves as a fundamental example...