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arXiv:2602.04293v1 Announce Type: new Abstract: In this paper, we establish the global well-posedness of the incompressible magnetohydrodynamics (MHD) system on $n-$dimensional $(n\geq 2)$ periodic boxes...
arXiv:2602.04302v1 Announce Type: new Abstract: We study the asymptotic spectral behavior of high-dimensional random Gram matrices with sparsity and a given variance profile, motivated by...
arXiv:2602.04303v1 Announce Type: new Abstract: In this paper, we establish the strong well-posedness of SDEs with merely integrable time-dependent drifts driven by fractional Brownian motions...
arXiv:2602.04310v1 Announce Type: new Abstract: We study the problem of estimating the value function of discrete-time switched systems under arbitrary switching. Unlike the switched LQR...
arXiv:2602.04321v1 Announce Type: new Abstract: By a 1997 result of R. Freese, an $n$-element lattice has at most $2^{n-1}$ congruences. This motivates us to define...
arXiv:2602.04324v1 Announce Type: new Abstract: The oriented Tur\'{a}n number of a given oriented graph $\overrightarrow{F}$, denoted by $\exo(n,\overrightarrow{F})$, is the largest number of arcs in...
arXiv:2602.04334v1 Announce Type: new Abstract: For a knot $K$ in the 3-sphere and a simply connected closed 4-manifold $X$, we define the $X$-double slice genus...
arXiv:2602.04348v1 Announce Type: new Abstract: Support for arithmetic in multiple precisions and number formats is becoming increasingly common in emerging high-performance architectures. From a computational...
arXiv:2602.04359v1 Announce Type: new Abstract: The pure traction problem of elasticity appears frequently in engineering applications, and its complexity stems from the fact that its...
arXiv:2602.04368v1 Announce Type: new Abstract: Convex duality has been leveraged in recent years to derive a posteriori error estimates and identities for a wide range...
arXiv:2602.04377v1 Announce Type: new Abstract: We consider the Cauchy problem to the axisymmetric Navier-Stokes equations. To prove an existence of global regular solutions we examine...
arXiv:2602.04378v1 Announce Type: new Abstract: We present a constructive lower bound of $\Omega(1/\sqrt{\varepsilon})$ for Frank-Wolfe (FW) when both the objective and the constraint set are...
arXiv:2602.04379v1 Announce Type: new Abstract: A fractional matching of a graph $G$ is a function $h: E(G) \to [0,1]$ such that $\sum_{e \in E_G(v)} h(e)...
arXiv:2602.04382v1 Announce Type: new Abstract: A twisted torus link $T(p,q,r,s)$ is obtained by performing $s$ full twists on $r$ adjacent strands of the $(p,q)$-torus link....
arXiv:2602.04383v1 Announce Type: new Abstract: Jagannath and Tobasco~\cite{JagTob} proposed a generalized de Almeida-Thouless (AT) criterion aimed at characterizing the replica symmetric (RS) regime for a...
arXiv:2602.04387v1 Announce Type: new Abstract: This paper contributes to the recently introduced theory of fine structures on the $S$-spectrum. We study, in a unified way,...
arXiv:2602.04390v1 Announce Type: new Abstract: Colored interlacing triangles, introduced by Aggarwal-Borodin-Wheeler (2024), provide the combinatorial framework for the Central Limit Theorem for probability measures arising...
arXiv:2602.04403v1 Announce Type: new Abstract: The class of even-hole-free graphs has been extensively studied on its own and on its relation to perfect graphs. In...
arXiv:2602.04407v1 Announce Type: new Abstract: Consider a microscopic system of $N$ hard spheres that are initially independent (modulo the exclusion condition on particle positions) and...
arXiv:2602.04414v1 Announce Type: new Abstract: In this paper, we construct the spectral expansion for the one dimensional non-self-adjoint Dirac operator L(Q) with a complex-valued periodic...
arXiv:2602.04422v1 Announce Type: new Abstract: In this paper, we investigate the convergence of solutions of a stochastic representation of the three-dimensional Navier-Stokes equations to those...
arXiv:2602.04424v1 Announce Type: new Abstract: The foundation of spectral theory on the $S$-spectrum can be traced back to the quaternionic framework of quantum mechanics. The...
arXiv:2602.04425v1 Announce Type: new Abstract: We introduce abelian framed bicategories, which are particular framed bicategories that are locally abelian, and show that they are suitable...
arXiv:2602.04429v1 Announce Type: new Abstract: We study discrete statistical mechanics systems perturbed by a random environment without a finite second moment. Specifically, we consider a...