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arXiv:2602.12568v1 Announce Type: new Abstract: In network epidemic models, controlling the spread of a disease often requires targeted interventions such as vaccinating high-risk individuals based...
arXiv:2602.12570v1 Announce Type: new Abstract: A widely used mathematical model for the bouncing motion of an ideally elastic ball -- referred to in previous work...
arXiv:2602.12576v1 Announce Type: new Abstract: Using the Wilson Dirac operator in lattice gauge theory with a domain-wall mass term, we construct a discretization of the...
arXiv:2602.12580v1 Announce Type: new Abstract: In this paper, we develop bound-preserving (BP) finite-volume schemes for hyperbolic conservation laws on adaptive moving meshes. For scalar conservative...
arXiv:2602.12581v1 Announce Type: new Abstract: It is well known that square matrices with independent and identically distributed (iid) random entries are typically well conditioned. A...
arXiv:2602.12589v1 Announce Type: new Abstract: A powerful robust mean estimator introduced by Catoni (2012) allows for mean estimation of heavy-tailed data while achieving the performance...
arXiv:2602.12595v1 Announce Type: new Abstract: Michel Talagrand played a decisive role in the transformation of mean field spin glass theory into a rigorous mathematical subject....
arXiv:2602.12598v1 Announce Type: new Abstract: Let $\overline \Omega$ be a compact strongly pseudoconvex domain with smooth boundary in a Stein manifold, and let $h:Z\to \overline...
arXiv:2602.12602v1 Announce Type: new Abstract: This paper proposes an efficient method for modeling and reconstructing the channel gain map (CGM) based on virtual scatterers. Specifically,...
arXiv:2602.12604v1 Announce Type: new Abstract: Differential Privacy (DP) provides a rigorous framework for deriving privacy-preserving estimators by injecting calibrated noise to mask individual contributions while...
arXiv:2602.12614v1 Announce Type: new Abstract: Due to great efficiency improvement in resource and hardware space, integrated sensing and communication (ISAC) has gained much attention. In...
arXiv:2602.12619v1 Announce Type: new Abstract: This paper studies Mullins' model of thermal grooving which consists of a surface diffusion flow equation with contact angle and...
arXiv:2602.12621v1 Announce Type: new Abstract: The shape of a number field $K$ of degree $n$ is defined as the equivalence class of the lattice of...
arXiv:2602.12623v1 Announce Type: new Abstract: Let $\Pi_{(b^a)}$ be the locus of unordered set partitions of $[ab]$ with $a$ blocks of size $b$. We embed unordered...
arXiv:2602.12626v1 Announce Type: new Abstract: We construct operator analogues of Hermite functions which form an orthonormal basis for the Hilbert space $ \mathcal{S}_2$ of Hilbert-Schmidt...
arXiv:2602.12637v1 Announce Type: new Abstract: In this paper, we provide a complete list of anomaly-free hyperspherical Hamiltonian spaces for simple reductive groups, as well as...
arXiv:2602.12644v1 Announce Type: new Abstract: Line congruences - two-parameter families of lines in projective 3-space - are the genesis of many beautiful examples of transformations...
arXiv:2602.12646v1 Announce Type: new Abstract: In [CKM17], Chodosh, Ketover, and Maximo proved finite diffeomorphism theorems for complete embedded minimal hypersurfaces of dimension $\leqslant$ 6 with...
arXiv:2602.12653v1 Announce Type: new Abstract: In this paper, we consider procedures for testing hypotheses on the dimension of the linear span generated by a growing...
arXiv:2602.12654v1 Announce Type: new Abstract: The $s$-blowup of a graph ($s\geq2$) is the $2s$-uniform hypergraph obtained by replacing each vertex with a set of size...
arXiv:2602.12657v1 Announce Type: new Abstract: We examine the stability of a class of quasilinear parabolic partial differential equations under perturbations. We are interested in the...
arXiv:2602.12666v1 Announce Type: new Abstract: Using clean numerical simulation (CNS) which can give very accurate spatiotemporal trajectory of Navier-Stokes turbulence in a finite but long...
arXiv:2602.12671v1 Announce Type: new Abstract: In this paper, we introduce the notions of Hom-tridendriform coalgebras and Hom-post-Lie coalgebras as the dual notions of Hom-tridendriform algebras...
arXiv:2602.12672v1 Announce Type: new Abstract: In this paper, we derive new combinatorial formulas for symmetric Macdonald polynomials $P_{\lambda}(X;q,t)$ and integral Macdonald polynomials $J_{\lambda}(X;q,t)$, in terms...