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arXiv:2505.01922v3 Announce Type: replace Abstract: In his foundational study of $p$-adic Hodge theory, Faltings introduced the method of almost \'etale extensions to establish fundamental comparison...
arXiv:2505.05179v2 Announce Type: replace Abstract: In this paper, we show that for a graph $\Gamma$ from a class named H-rigid graphs, its subgraph ${\rm Int}(\Gamma)$,...
arXiv:2505.07383v2 Announce Type: replace Abstract: The concept of statistical depth extends the notions of the median and quantiles to other statistical models. These procedures aim...
arXiv:2505.12769v2 Announce Type: replace Abstract: We prove that unital graph C*-algebras often admit a convenient decomposition into amalgamated free products. We use this to give...
arXiv:2505.23440v3 Announce Type: replace Abstract: Volume comparison theorem is a type of fundamental results in Riemannian geometry. In this article, we extend the volume comparison...
arXiv:2506.08380v2 Announce Type: replace Abstract: This paper introduces two variational inference approaches for infinite-dimensional inverse problems, developed through gradient descent with a constant learning rate....
arXiv:2506.08782v3 Announce Type: replace Abstract: We consider a game with two players, consisting of a number of rounds, where the first player to win $n$...
arXiv:2506.12112v2 Announce Type: replace Abstract: We derive an integral expression $G(z)$ for the reciprocal gamma function, $1/\Gamma(z)=G(z)/\pi$, that is valid for all $z\in\mathbb{C}$, without the...
arXiv:2506.14543v2 Announce Type: replace Abstract: In this paper we consider the numerical approximation of a semilinear reaction-diffusion model problem (PDEs) by means of reduced order...
arXiv:2506.18243v2 Announce Type: replace Abstract: Spanning 7-24 GHz, frequency range 3 (FR3), is a key enabler for next-generation wireless networks by bridging the coverage of...
arXiv:2506.19796v2 Announce Type: replace Abstract: In this paper, we develop algorithms for computing the recurrence coefficients corresponding to multiple orthogonal polynomials on the step-line. We...
arXiv:2506.22040v4 Announce Type: replace Abstract: We sharpen the moment comparison inequalities with sharp constants for sums of random vectors uniform on Euclidean spheres, providing a...
arXiv:2506.22576v4 Announce Type: replace Abstract: This paper introduces a new method for solving the planar heat equation based on the Lightning Method. The lightning method...
arXiv:2507.09193v2 Announce Type: replace Abstract: The problem of bistatic integrated sensing and communications over memoryless relay channels is considered, where destination concurrently decodes the message...
arXiv:2507.14545v2 Announce Type: replace Abstract: We consider an operator-differential expression of the form $$ \ell y=\frac{d^m}{dx^m}\Big(By^{(n)}+Cy\Big), \quad 0
arXiv:2507.15102v2 Announce Type: replace Abstract: We extend the classical Kolmogorov-Riesz compactness theorem to the setting of asymptotic $L_p$ spaces on $\mathbb{R}^n$. These are nonlocally convex...
arXiv:2507.16508v2 Announce Type: replace Abstract: We study a bulk-surface Cahn--Hilliard model with non-degenerate mobility and singular potentials in two dimensions. Following the ideas of the...
arXiv:2507.16810v3 Announce Type: replace Abstract: We consider an inverse initial-data problem for the compressible anisotropic Navier--Stokes equations, in which the goal is to reconstruct the...
arXiv:2507.23199v2 Announce Type: replace Abstract: We consider the filtering problem with the partially observed Lorenz 96 model. Although the accuracy of the 3DVar filter in...
arXiv:2507.23696v2 Announce Type: replace Abstract: We study the problem of continuity of derivations over Banach algebras. More specifically, we consider a class of Banach algebras...
arXiv:2508.01301v5 Announce Type: replace Abstract: In this note, we demonstrate how determinant representations for correlation functions in conformal field theory can be used to derive...
arXiv:2508.17357v2 Announce Type: replace Abstract: We introduce the notion of 0-shifted cosymplectic structure on differentiable stacks and develop a corresponding moment map theory for Hamiltonian...
arXiv:2509.02487v2 Announce Type: replace Abstract: The problem of constrained stabilization on the n-sphere under star-shaped constraints is considered. We propose a control strategy that allows...
arXiv:2509.03654v3 Announce Type: replace Abstract: In previous works, we introduced the notion of dominant vertices in the context of dynamical systems on networks. This is...