牵连 发表于 2025-3-28 17:25:03
Vitali D. Milman,Gideon SchechtmanIncludes supplementary material:屈尊 发表于 2025-3-28 19:40:25
http://reply.papertrans.cn/39/3835/383468/383468_42.png枯萎将要 发表于 2025-3-29 01:13:30
https://doi.org/10.1007/978-3-663-04763-6.. We find an upper bound in terms of labelled-covering trees of (.,.) and a lower bound in terms of packing trees (this uses the knowledge of packing numbers of subsets of .). The two quantities are proved to be equivalent via a general result concerning packing trees and labelled-covering trees ofirradicable 发表于 2025-3-29 04:36:56
https://doi.org/10.1007/978-3-663-04764-3appings. For each class, we estimate the maximum cardinality of point preimage in terms of the ratio of two characteristic constants of the mapping. For Lipschitz quotients and for Lipschitz locally BNC mappings, we provide a complete scale of such estimates, while for the intermediate class of BNCWATER 发表于 2025-3-29 07:14:55
https://doi.org/10.1007/978-3-476-04244-6the sphere to the measure of its section with a random subspace. Essentially, it is a sampling argument. It shows that, in some sense, we can simultaneously sample a function on the entire sphere and in a random subspace..In the first section we will discuss some preliminary ideas, which underlie th询问 发表于 2025-3-29 12:07:22
http://reply.papertrans.cn/39/3835/383468/383468_46.png牛的细微差别 发表于 2025-3-29 18:12:39
http://reply.papertrans.cn/39/3835/383468/383468_47.png类似思想 发表于 2025-3-29 20:03:25
Guiguo Wang,Yuk-Lun Lee,Mei-Fun Leungon . given by .. Let . be the (generalized) Gauß-Kronecker curvature and . the expected volume of the convex hull of . points chosen randomly on . with respect to .. Then, under some regularity conditions on the boundary of . . where . is a constant depending on the dimension . only..The minimum atlabyrinth 发表于 2025-3-30 00:33:41
https://doi.org/10.1007/b10415Asymptotic geometric Analysis; Convexity; Distribution; Local theory of Banach spaces; Maxima; Random varPlaque 发表于 2025-3-30 04:15:42
,Random Lattice Schrödinger Operators with Decaying Potential: Some Higher Dimensional Phenomena,e independent Bernoulli or normalized Gaussian variables and . is a sequence of weights satisfying a certain decay condition. In what follows, we will focus on some results related to absolutely continuous (ac)-spectra and proper extended states that, roughly speaking, distinguish . > 1 from . = 1 (