免费 发表于 2025-3-25 06:25:54

A Generalized Central Limit Conjecture for Convex Bodies,t (up to a small factor) to the KLS conjecture. Any polynomial improvement in the current KLS bound of .. in . implies the generalized CLT, and vice versa. This tight connection suggests that the generalized CLT might provide insight into basic open questions in asymptotic convex geometry.

BALK 发表于 2025-3-25 07:51:04

,Further Investigations of Rényi Entropy Power Inequalities and an Entropic Characterization of s-Corated result of Barron (Ann Probab 14:336–342, 1986). Additionally, we give an entropic characterization of the class of .-concave densities, which extends a classical result of Cover and Zhang (IEEE Trans Inform Theory 40(4):1244–1246, 1994).

emulsify 发表于 2025-3-25 13:38:31

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MAPLE 发表于 2025-3-25 18:52:07

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小丑 发表于 2025-3-25 22:09:30

Small Ball Probability for the Condition Number of Random Matrices,mbination of known results and techniques, it was not noticed in the literature before. As a key step of the proof, we apply estimates for the singular values of ., . obtained (under some additional assumptions) by Nguyen.

Crohns-disease 发表于 2025-3-26 03:35:49

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CRATE 发表于 2025-3-26 07:46:57

Distributed Autonomous Robotic System 6A classical theorem of Alon and Milman states that any . dimensional centrally symmetric convex body has a projection of dimension . which is either close to the .-dimensional Euclidean ball or to the .-dimensional cross-polytope. We extended this result to non-symmetric convex bodies.

朝圣者 发表于 2025-3-26 09:01:04

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无底 发表于 2025-3-26 14:37:45

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Confess 发表于 2025-3-26 19:00:50

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查看完整版本: Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA Bo‘az Klartag,Emanuel Milman Book 2020 Springer Nature Switzerland AG 2020 A