macular-edema 发表于 2025-3-23 11:05:37

Coherency and area identification,ies of the involved entropy functional and then describe several important examples of measures satisfying logarithmic Sobolev inequalities. The remaining part of the chapter deals with various bounds that are valid in the presence of logarithmic Sobolev inequalities.

Aqueous-Humor 发表于 2025-3-23 14:55:02

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Aspirin 发表于 2025-3-23 22:04:12

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欲望 发表于 2025-3-24 00:04:16

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CRACK 发表于 2025-3-24 05:58:31

Logarithmic Sobolev Inequalitiesof functions, not necessarily under the Lipschitz hypothesis. To introduce this class of analytic inequalities, first we briefly mention basic properties of the involved entropy functional and then describe several important examples of measures satisfying logarithmic Sobolev inequalities. The remai

–LOUS 发表于 2025-3-24 09:36:00

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Traumatic-Grief 发表于 2025-3-24 12:16:41

Second Order Spherical Concentrationith respect to growing dimension . in comparison with deviations that are valid for the entire class of Lipschitz functions. These conditions involve derivatives of . of the second order, which may be considered both in the spherical and Euclidean setup.

obstinate 发表于 2025-3-24 16:29:28

https://doi.org/10.1007/978-3-030-01210-6This definition is frequently used in Convex Geometry, especially for random vectors which are uniformly distributed over a convex body (in which case the body is called isotropic, cf. ).

Humble 发表于 2025-3-24 22:44:56

Slow coherency and weak connections,In some problems/Sobolev-type inequalities, it makes sense to slightly modify the notion of the generalized modulus of gradient.

爆米花 发表于 2025-3-25 00:59:45

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查看完整版本: Titlebook: Concentration and Gaussian Approximation for Randomized Sums; Sergey Bobkov,Gennadiy Chistyakov,Friedrich Götze Book 2023 The Editor(s) (i