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arXiv:2603.08549v1 Announce Type: new Abstract: This paper builds stochastic geometry frameworks for analyzing downlink electromagnetic field (EMF) exposure and efficiency in 5G multi-connectivity networks, using...
arXiv:2603.08554v1 Announce Type: new Abstract: This paper extends the study of resonance phenomenon initiated by the authors in~\cite{LS} to the case of doubly degenerate embedded...
arXiv:2603.08556v1 Announce Type: new Abstract: Driven by the rapid growth of the low-altitude economy, integrated sensing and communication (ISAC) technologies are essential to meet the...
arXiv:2603.08559v1 Announce Type: new Abstract: This paper studies two-variable compressions of shifts associated to rational inner functions on the bidisk; these generalize the classical compressions...
arXiv:2603.08569v1 Announce Type: new Abstract: We give a new proof of a recent generalization to Shimura curve of genus 0 of the work of Gross...
arXiv:2603.08570v1 Announce Type: new Abstract: Let $X_1,\dots,X_n$ be independent normal random variables with $X_i\sim N(\mu_i,\sigma_i^2)$, and set $Z=\prod_{i=1}^n X_i$. We derive asymptotic approximations for the...
arXiv:2603.08576v1 Announce Type: new Abstract: Path transformations are fundamental to the study of Brownian motion and related stochastic processes, offering elegant constructions of the Brownian...
arXiv:2603.08585v1 Announce Type: new Abstract: A digraph consisting of a set of vertices $V$ and a set of arcs $E$ is called an interval digraph...
arXiv:2603.08587v1 Announce Type: new Abstract: This paper investigates a class of deterministic fractals whose construction is governed by arithmetic sequences. We introduce the essential fractal...
arXiv:2603.08595v1 Announce Type: new Abstract: Federated learning (FL) over wireless networks is fundamentally constrained by unreliable communication links, particularly when uplink channels suffer from blockage,...
arXiv:2603.08597v1 Announce Type: new Abstract: A knot $K$ is called $n$-adjacent to a knot $K'$ if there is a set of $n$ crossing circles $\mathcal...
arXiv:2603.08598v1 Announce Type: new Abstract: This paper studies the asymptotic tail behaviour of products of independent Poisson random variables. Let \[ Z_m=\prod_{j=1}^m X_j, \] where...
arXiv:2603.08608v1 Announce Type: new Abstract: Let ${\mathcal{D}}'({\mathbb{R}}^d)$ denote the space of distributions on ${\mathbb{R}}^d$. For a linear partial different equation $p(\frac{\partial}{\partial x_1},\cdots, \frac{\partial}{\partial x_d}, \frac{\partial}{\partial...
arXiv:2603.08626v1 Announce Type: new Abstract: In this paper, we study congruences of Hecke eigenvalues between Hermitian Klingen-Eisenstein series and cusp forms on the unitary group...
arXiv:2603.08627v1 Announce Type: new Abstract: We derive an explicit formula for the ADM mass of asymptotically locally Euclidean (ALE) almost K\"ahler manifolds. The formula expresses...
arXiv:2603.08632v1 Announce Type: new Abstract: In this article, we will compute the expectation value of observables (which appear as Wilson loops) in $\mathrm{U}(1)^n$ Chern-Simons theory...
arXiv:2603.08636v1 Announce Type: new Abstract: One possible data encryption scheme is related to stream ciphers, which use a sufficiently long pseudo-random sequence. To increase the...
arXiv:2603.08638v1 Announce Type: new Abstract: We give the first and lowest order examples of 3-regular 3-edge-colored graphs that demonstrate the non-factorization of tensor model invariants...
arXiv:2603.08641v1 Announce Type: new Abstract: Distributed machine learning (ML) over wireless networks hinges on accurate channel state information (CSI) and efficient exchange of high-dimensional model...
arXiv:2603.08646v1 Announce Type: new Abstract: Inquisitive team logic is a variant of inquisitive logic interpreted in team semantics, which has been argued to provide a...
arXiv:2603.08653v1 Announce Type: new Abstract: In this paper we prove the theorem of the heart for Weibel's homotopy $K$-theory $KH.$ Namely, if $\mathcal{C}$ is a...
arXiv:2603.08656v1 Announce Type: new Abstract: This paper considers structure-preserving model order reduction (MOR) techniques for port-Hamiltonian (pH) systems, which are typically derived from energy-based modelling....
arXiv:2603.08664v1 Announce Type: new Abstract: We study classes of convex functions on balanced polyhedral spaces and establish various structural properties, including a compactness theorem for...
arXiv:2603.08669v1 Announce Type: new Abstract: We characterise Dedekind rings among not necessarily Noetherian domains by a property of their module homomorphisms. Our proof relies on...