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arXiv:2601.06110v3 Announce Type: replace Abstract: This paper investigates the uplink covert communication in a multiple-input multiple-output (MIMO) satellite-terrestrial system consisting of an Earth station transmitter...
arXiv:2601.06601v2 Announce Type: replace Abstract: Consider an $(n+1)$-dimensional circular cone with opening angle $\alpha \in (0,\pi)$. Using a free-boundary adaptation of the classical calibration method,...
arXiv:2601.06688v2 Announce Type: replace Abstract: A new framework is introduced for examining and evaluating the fundamental limits of lossless data compression, that emphasizes genuinely non-asymptotic...
arXiv:2601.11495v2 Announce Type: replace Abstract: In this paper, we establish global $C^{1,\alpha}$-regularity for bounded generalized solutions of elliptic equations in divergence form with Musielak-Orlicz growth...
arXiv:2601.17894v2 Announce Type: replace Abstract: We prove a new rigidity criterion for families of polarized Calabi-Yau manifolds. Motivated by known non-rigid examples, we conjecture that...
arXiv:2601.18665v2 Announce Type: replace Abstract: This article presents a pedagogical probabilistic exploration of the Newton-Girard identities. We show that the coefficients in these classical relations...
arXiv:2601.19790v2 Announce Type: replace Abstract: We establish infinite families of congruences modulo arbitrary powers of $2$ for the three restricted partition functions $M(n), T^\ast(n)$, and...
arXiv:2601.20591v2 Announce Type: replace Abstract: Predicting the human burden of vector-borne diseases from limited surveillance data remains a major challenge, particularly in the presence of...
arXiv:2602.04080v3 Announce Type: replace Abstract: In this article, we study polymatroids that are representable by means of linear restricted rank-metric codes, namely, by subspaces of...
arXiv:2602.04086v2 Announce Type: replace Abstract: Taylor series methods show a newfound promise for the solution of non-stiff ordinary differential equations (ODEs) given the rise of...
arXiv:2602.04098v3 Announce Type: replace Abstract: This paper establishes limit theorems and quantitative statistical stability for a class of piecewise partially hyperbolic maps that are not...
arXiv:2602.05795v2 Announce Type: replace Abstract: In this paper, we prove a rigidity result for proper holomorphic maps between unit balls that have many symmetries and...
arXiv:2602.08769v2 Announce Type: replace Abstract: The unseen species problem is a classical problem in statistics. It asks us to, given $n$ i.i.d. samples from an...
arXiv:2602.08998v2 Announce Type: replace Abstract: We study homology of ample groupoids via the compactly supported Moore complex of the nerve. Let $A$ be a topological...
arXiv:2602.09815v3 Announce Type: replace Abstract: The space of all finite non-empty subsets of a topological space $X$, also known as the Ran space of $X$,...
arXiv:2602.09885v2 Announce Type: replace Abstract: We provide a complete geometric solution to the problem of differentiating simplicial manifolds, extending classical Lie theory and complementing existing...
arXiv:2602.09915v2 Announce Type: replace Abstract: We explain how the Johnson homomorphism and the Enomoto-Satoh trace, as well as higher-loop-order generalizations, can be obtained from graph...
arXiv:2602.10726v2 Announce Type: replace Abstract: We study the Wasserstein gradient flow of the Sinkhorn divergence when both the source and the target are Gaussian distributions....
arXiv:2602.11051v2 Announce Type: replace Abstract: Consider a discrete-time simple random walk $(X_t)_{t\ge 0}$ on an infinite, connected, locally finite graph $G$. Let $R_t := |\{X_0,\dots,X_t\}|$...
arXiv:2602.11986v2 Announce Type: replace Abstract: In this paper, we study the achievable performance of dirty paper coding for the Gaussian broadcast channel (BC) with finite...
arXiv:2602.13794v2 Announce Type: replace Abstract: We show that any (n+1)-term silting complex whose intermediate cohomology vanishes gives rise to an n-silting module, as recently introduced...
arXiv:2602.14064v2 Announce Type: replace Abstract: In this paper, we establish the interior Hessian estimates for $2$-convex solutions to $\frac{\sigma_2}{\sigma_1} (D^2 u) = \psi (x,u)$ in...
arXiv:2602.14380v2 Announce Type: replace Abstract: We compute the $\mathrm{MU}$-based syntomic cohomologies, mod $(p,v_1,\cdots,v_{n})$, of all $\mathbb{E}_1$ $\mathrm{MU}$-algebra forms of the truncated Brown--Peterson spectrum $\mathrm{BP}\langle n\rangle$....
arXiv:2602.14680v2 Announce Type: replace Abstract: In this paper, we systematically develop the m-contiguity distance between simplicial maps as a discrete approximation framework for homotopical complexity...