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arXiv:2507.06556v4 Announce Type: replace Abstract: We analyze the spectral properties of the high-dimensional random geometric graph $G(n, d, p)$, formed by sampling $n$ i.i.d vectors...
arXiv:2507.12099v2 Announce Type: replace Abstract: We show that a strong version of the Brascamp--Lieb inequality for symmetric log-concave measure with $\alpha$-homogeneous potential $V$ is equivalent...
arXiv:2507.16496v3 Announce Type: replace Abstract: Topology optimization has emerged as a powerful and increasingly relevant strategy for enhancing the flexibility and efficiency of power system...
arXiv:2507.18137v3 Announce Type: replace Abstract: We show that every conformal vector field on a Damek-Ricci space is necessarily Killing, establishing a strong form of infinitesimal...
arXiv:2507.21399v3 Announce Type: replace Abstract: Laurent Lafforgue's presentation of a Grassmannian Gr$^{d, E}$ naturally comes equipped with the induced action of a subtorus $\mathbb{T}_\bullet$ of...
arXiv:2508.00541v2 Announce Type: replace Abstract: Quick response is a widely adopted strategy to mitigate overproduction in the manufacturing industry, yet recent research reveals a counter-intuitive...
arXiv:2508.00722v2 Announce Type: replace Abstract: We apply mixed-precision to the low-rank Lyapunov ADI (LR-ADI) by performing certain aspects of the algorithm in a lower working...
arXiv:2508.05180v2 Announce Type: replace Abstract: A new type of conjectures on characters of finite groups, related to the McKay conjecture, have recently been proposed. In...
arXiv:2508.06133v3 Announce Type: replace Abstract: We study offline scheduling for large language model (LLM) serving under a fixed KV-cache memory budget, where requests have heterogeneous...
arXiv:2508.07784v2 Announce Type: replace Abstract: We extend a previous result [Sutter et al., J. Phys. A: Math. Theor. 57, 475202 (2024)] to give an explicit...
arXiv:2508.11054v2 Announce Type: replace Abstract: We introduce the notions of local realizability at a prime and algebraic realizability of an integer sequence. After discussing this...
arXiv:2508.11720v2 Announce Type: replace Abstract: In this paper, we introduce a new type degenerate Simsek numbers and their generating function, which are different from degenerate...
arXiv:2508.18895v2 Announce Type: replace Abstract: For coprime $p,q\in\mathbb{Z}_{\geq 2}$, the triplet vertex operator algebra $W_{p,q}$ is a non-simple extension of the universal Virasoro vertex operator...
arXiv:2508.20405v2 Announce Type: replace Abstract: We will study the $1$-weighted Ricci curvature in view of the extrinsic geometric analysis. We derive several geometric consequences concerning...
arXiv:2508.21630v2 Announce Type: replace Abstract: We present and analyze in a unified setting two schemes for the numerical discretization of a Darcy-Forchheimer fluid flow model...
arXiv:2509.07559v3 Announce Type: replace Abstract: We establish new Euclidean Sobolev logarithmic inequalities in the framework of fractional Sobolev spaces and their weighted version. Our approach...
arXiv:2509.10066v2 Announce Type: replace Abstract: Systems of N = 1, 2, . . . first-order hyperbolic conservation laws feature N undamped waves propagating at finite...
arXiv:2509.10944v2 Announce Type: replace Abstract: We prove a logarithm law-type result for the spiraling of geodesics around certain types of compact subsets (e.g. quotients of...
arXiv:2509.20135v3 Announce Type: replace Abstract: In this article, we construct infinitely many (small Seifert fibred, hyperbolic and toroidal) rational homology $3$-spheres that admit co-orientable taut...
arXiv:2510.03883v5 Announce Type: replace Abstract: The complete list of connected components of the set of Morse functions in the deformations of function singularities of class...
arXiv:2510.05639v2 Announce Type: replace Abstract: The series of papers is devoted to the study of convergence for pairs of surfaces and smooth functions thereon. We...
arXiv:2510.06643v4 Announce Type: replace Abstract: This work presents problems of constructing finite-difference formulas in the Hilbert space, i.e., setting problems of constructing finite-difference formulas using...
arXiv:2510.08174v3 Announce Type: replace Abstract: We consider a problem of covariance estimation from a sample of i.i.d. high-dimensional random vectors. To avoid the curse of...
arXiv:2510.09460v2 Announce Type: replace Abstract: We analyze stochastic partial differential equations (SPDEs) with quadratic nonlinearities close to a change of stability. To this aim we...