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arXiv:2603.05853v1 Announce Type: new Abstract: We study a multivariate Hawkes process with long-range interactions, where the interaction strength decays as a power-law in the distance...
arXiv:2603.05870v1 Announce Type: new Abstract: A presheaf of complexes is constructed on a category of weighted finite subsets of a fixed Euclidean space. To each...
arXiv:2603.05875v1 Announce Type: new Abstract: We prove that for any dominant cocharacter $\mu$ and any parahoric level $K$, the augmented admissible set $\widehat{\Adm(\mu)^K}$ in the...
arXiv:2603.05879v1 Announce Type: new Abstract: Gurau (2020) proposed a generalization of the trace of the matrix resolvent to tensors of higher order, and recent work...
arXiv:2603.05897v1 Announce Type: new Abstract: We consider nonparametric regression under covariate shift, where we observe samples from both the target distribution and a related but...
arXiv:2603.05903v1 Announce Type: new Abstract: As an application of the finite-rank Lieb-Thirring inequality established in [R. L. Frank, D. Gontier and M. Lewin, Comm. Math....
arXiv:2603.05922v1 Announce Type: new Abstract: This paper studies an extremely large-scale reconfigurable intelligent surface (XL-RIS)-aided near-field physical layer security (PLS) communication system, aiming to maximize...
arXiv:2603.05939v1 Announce Type: new Abstract: It seems that Morita invariance is a useful criterion for judging the importance of the classes of ring extensions concerned....
arXiv:2603.05943v1 Announce Type: new Abstract: The notion of weakly separable extensions was introduced by N. Hamaguchi and A. Nakajima as a generalization of separable extensions....
arXiv:2603.05946v1 Announce Type: new Abstract: Identifying governing partial differential equations (PDEs) from noisy spatiotemporal data remains challenging due to differentiation-induced noise amplification and ambiguity from...
arXiv:2603.05951v1 Announce Type: new Abstract: Separable extensions of noncommutative rings have already been studied extensively. Recently, N. Hamaguchi and A. Nakajima introduced the notions of...
arXiv:2603.05954v1 Announce Type: new Abstract: The Friedrichs model~\cite{Friedrichs} is revisited to obtain precise results about the asymptotic behaviour (the so-called Breit-Wigner formula~\cite{Breit}) of a resonance...
arXiv:2603.05967v1 Announce Type: new Abstract: We investigate the Martin boundary of the space-time Markov chain associated to a finitely supported random walk $(\Gamma, \mu)$ with...
arXiv:2603.05968v1 Announce Type: new Abstract: Grothendieck's anabelian conjectures predict that certain classes of varieties over number fields are largely determined by their {\'e}tale fundamental groups....
arXiv:2603.05973v1 Announce Type: new Abstract: For integers $1\le \ell
arXiv:2603.05979v1 Announce Type: new Abstract: We consider bounded open connected sets $\Omega_1, \Omega_2 \subset \mathbb{R}^n$ and Sobolev maps $f: \Omega_1 \times \Omega_2 \subset \mathbb{R}^n \times...
arXiv:2603.05981v1 Announce Type: new Abstract: Gauss's Lemma is revised by showing that the point set association of the double tangential space with the tangential space...
arXiv:2603.05983v1 Announce Type: new Abstract: This article addresses the planar Coleman--Gurtin heat equation with memory on a bounded domain, with rough anisotropic diffusion $A_\mu$, typical...
arXiv:2603.05985v1 Announce Type: new Abstract: We study the behavior of Galois periods under the local theta correspondence for even orthogonal and symplectic groups. Specifically, we...
arXiv:2603.05986v1 Announce Type: new Abstract: Let $\{X_n= e^{2\pi i \theta_n}\}$ be a sequence of Steinhaus random variables, where $\theta_n$ are independent and uniformly distributed on...
arXiv:2603.05991v1 Announce Type: new Abstract: We develop numerical methods for elliptic systems governed by partial segregation constraints, in which three nonnegative components are required to...
arXiv:2603.05998v1 Announce Type: new Abstract: We study outer length billiards; our main results are as follows. We prove 3- and 4-periodic versions of the Ivrii...
arXiv:2603.06000v1 Announce Type: new Abstract: In this article, we propose a Newton-based method for solving multiobjective interval optimization problems (MIOPs). We first provide a connection...
arXiv:2603.06004v1 Announce Type: new Abstract: We investigate slices of the Sierpi\'nski tetrahedron from a topological viewpoint. For each $c\in[0,1]$, we study the \v{C}ech (co)homology group...