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arXiv:2603.08311v1 Announce Type: new Abstract: We study identifiability in continuous-time linear stationary stochastic differential equations with known causal structure. Unlike existing approaches, we relax the...
arXiv:2603.08320v1 Announce Type: new Abstract: We propose a variational framework for analyzing dependence structures of convex compact random sets based on their support functions. The...
arXiv:2603.08325v1 Announce Type: new Abstract: Channel decoding is a challenging task in communication channels exhibiting memory effects. In this work, we apply the recently proposed...
arXiv:2603.08330v1 Announce Type: new Abstract: In this paper we study horizontal curvatures for surfaces embedded in three-dimensional contact sub-Riemannian Lie groups. Using a Riemannian approximation...
arXiv:2603.08344v1 Announce Type: new Abstract: In this short remark, we explain that two examples of invariance under duality for a localizing invariant $F$ hold purely...
arXiv:2603.08350v1 Announce Type: new Abstract: In this article, we develop a Barta-type formulation for the $p$-Laplacian on Riemannian manifolds, extending the approach of Cheung-Leung \cite{cheung}...
arXiv:2603.08353v1 Announce Type: new Abstract: We establish the limiting spectral distribution of Kendall's correlation matrices in the moderate high-dimensional regime where the dimension grows slower...
arXiv:2603.08354v1 Announce Type: new Abstract: The motivation of this paper is to investigate the dual Drazin inverse of adjacency matrices arising from several classes of...
arXiv:2603.08362v1 Announce Type: new Abstract: We study the point spectrum of a periodic quantum tree equipped with a Schr\"odinger type differential operator with delta-type vertex...
arXiv:2603.08365v1 Announce Type: new Abstract: Assuming Schanuel's conjecture, we prove that the complete theory $T_{\exp}$ of the real exponential field is axiomatized by the axioms...
arXiv:2603.08367v1 Announce Type: new Abstract: Distributed optimization has gained substantial interest in recent years due to its wide applications in machine learning. However, most of...
arXiv:2603.08368v1 Announce Type: new Abstract: By using a bilinear smoothing estimate recently developed in [12], together with several linear Strichartz-type estimates established therein, we improve...
arXiv:2603.08378v1 Announce Type: new Abstract: $\sigma$-Brjuno functions were introduced in \cite{MaMoYo_06} as an interesting variant of the classical Brjuno function, where one substitutes the $\log$...
arXiv:2603.08381v1 Announce Type: new Abstract: The triplication method for constructing strong starters in $Z_{3m}$ from starters in $Z_{m}$ (say, a starter of order 21 from...
arXiv:2603.08382v1 Announce Type: new Abstract: We study the problem of constructing $C^{1,\theta}$ isometric immersions of Riemannian metrics on $n$-dimensional domains into $\mathbb{R}^{n+1}$. While the classical...
arXiv:2603.08384v1 Announce Type: new Abstract: For a symplectic geometry $X$, suppose the (derived) Fukaya category $\mathrm{Fuk}(X)$ of $X$ is equipped with a monoidal structure. Then...
arXiv:2603.08396v1 Announce Type: new Abstract: We study finite element approximations of second-order elliptic problems with measure-valued right-hand sides supported on lower-dimensional sets. The exact solution...
arXiv:2603.08404v1 Announce Type: new Abstract: The wedge by a smooth closed $\ell$-form induces the mapping cone de Rham cochain complex. This complex is quasi-isomorphic to...
arXiv:2603.08411v1 Announce Type: new Abstract: We consider optical communications with intensity modulation and direct detection affected by laser relative intensity noise (RIN). Starting from a...
arXiv:2603.08415v1 Announce Type: new Abstract: Motivated by simulations of ultrasound-enhanced drug delivery, this work presents the numerical analysis of a mathematical model that captures the...
arXiv:2603.08422v1 Announce Type: new Abstract: Optical satellite uplinks rely on high-power optical amplifiers (HPOAs) to overcome free-space attenuation and enable long-distance transmission. However, at high...
arXiv:2603.08431v1 Announce Type: new Abstract: Random walks in a finite Abelian group $G$ are studied. They use Markov chains with doubly stochastic transition matrices, in...
arXiv:2603.08437v1 Announce Type: new Abstract: Determining the explicit forms and modularity for string functions and branching coefficients for Kac--Moody algebras after Kac, Peterson, and Wakimoto...
arXiv:2603.08439v1 Announce Type: new Abstract: Recently, Morier-Genoud and Ovsienko introduced the $q$-deformed modular group. For construction, they first gave a group $G_q \subset \operatorname{GL}(2, {\mathbb...