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arXiv:2405.09501v3 Announce Type: replace Abstract: In this paper, we derive a precise estimate for the mean extinction time of the contact process with a fixed...
arXiv:2405.15004v4 Announce Type: replace Abstract: In this paper, we consider induced subgraphs of the Hamming graph $H(n,3)$. We show that if $U \subseteq \mathbb{Z}_3^n$ and...
arXiv:2406.15691v2 Announce Type: replace Abstract: Motivated by applications where impatience is pervasive and evaluation times are uncertain, we study a selection model where options may...
arXiv:2407.01845v2 Announce Type: replace Abstract: We describe an obstruction to smoothing stable maps in smooth projective varieties, which generalizes some previously known obstructions. Our obstruction...
arXiv:2407.02607v2 Announce Type: replace Abstract: Recent advances in Symmetric Positive Definite (SPD) matrix learning show that Riemannian metrics are fundamental to effective SPD neural networks....
arXiv:2407.05936v3 Announce Type: replace Abstract: We show that every $n$-vertex planar graph is contained in the graph obtained from a fan by blowing up each...
arXiv:2407.06666v2 Announce Type: replace Abstract: We consider solutions of the Cauchy problem for semilinear equations with (possibly) different L\'evy operators. We provide various results on...
arXiv:2407.20531v2 Announce Type: replace Abstract: In Lagrangian coordinates, the local well-posedness of low regularity solutions is established for an ideal incompressible magnetohydrodynamic (MHD) system subject...
arXiv:2408.05444v2 Announce Type: replace Abstract: In view of the advantages of simplicity and effectiveness of the Kaczmarz method, which was originally employed to solve the...
arXiv:2408.08943v5 Announce Type: replace Abstract: This paper introduces the $u$-deformed homogeneous functions $\mathrm{R}_{\alpha}(x,y;u|q)$, for all $\alpha\in\mathbb{C}$. Basic properties of the functions $\mathrm{R}_{\alpha}(x,y;u|q)$ are given, along...
arXiv:2408.17375v2 Announce Type: replace Abstract: The flagged refined stable Grothendieck polynomials of skew shapes generalize several polynomials like stable Grothendieck polynomials, flagged skew Schur polynomials....
arXiv:2409.04911v2 Announce Type: replace Abstract: We consider a construction proposed in \cite{acharyaQAM} that builds on the notion of weak solutions for incompressible fluids to provide...
arXiv:2409.20402v2 Announce Type: replace Abstract: This paper aims to determine the predual of the Bergman space $A_\lambda^1$ on the Siegel upper half-space. To achieve this,...
arXiv:2410.10250v2 Announce Type: replace Abstract: We are interested in the Euler-Maruyama dicretization of the SDE dXt =b(t,Xt)dt+ dZt, X0 =x$\in$Rd, where Zt is a symmetric...
arXiv:2410.18869v3 Announce Type: replace Abstract: We consider an $N$-player game where the states of the players evolve with time as Stochastic Differential Equations (SDEs) with...
arXiv:2410.22075v2 Announce Type: replace Abstract: We prove that the set of thick points of the log-correlated Gaussian field contains an unbounded path in sufficiently high...
arXiv:2411.06984v2 Announce Type: replace Abstract: For 3-D quadratic quasilinear wave equations with or without null conditions in exterior domains, when the compatible initial data and...
arXiv:2411.13170v2 Announce Type: replace Abstract: We prove that the Kloosterman sum $\text{Kl}(1,q)$ changes sign infinitely many times, as $q\rightarrow +\infty$ with at most six prime...
arXiv:2411.16620v2 Announce Type: replace Abstract: Let $\Gamma$ be a discrete and torsion-free subgroup of $\mathrm{PU}(n,1)$, the group of biholomorphisms of the unit ball in $\mathbb{C}^{n}$,...
arXiv:2411.19782v2 Announce Type: replace Abstract: We prove that the Patterson-Sullivan and Wigner distributions on the unit sphere bundle of a convex-cocompact hyperbolic surface are asymptotically...
arXiv:2412.05612v2 Announce Type: replace Abstract: We extend the buckling and clamped-plate problems to the context of differential forms on compact Riemannian manifolds with smooth boundary....
arXiv:2412.17420v2 Announce Type: replace Abstract: The critical variational setting was recently introduced and shown to be applicable to many important SPDEs not covered by the...
arXiv:2501.10591v3 Announce Type: replace Abstract: We provide an alternative construction of the quasi-Fuchsian flows introduced by Ghys in \cite{Ghys-92}. Our approach is based on the...
arXiv:2501.14444v3 Announce Type: replace Abstract: The local symplectic theory of integrable systems is fundamental to understand their global theory, as well as the behavior near...