Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA Ronen Eldan,Bo‘a(chǎn)z Klartag,Emanuel Milman Book 2023 The Editor(s) (if applica

Enervate

Book 2023l theory of Banach spaces is the study of probability measures in high dimension and the concentration of measure phenomenon. Here this phenomenon is approached from different angles, including through analysis on the Hamming cube, and via quantitative estimates in the Central Limit Theorem under th

opportune

978-3-031-26299-9The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl

Infelicity

Geometric Aspects of Functional Analysis978-3-031-26300-2Series ISSN 0075-8434 Series E-ISSN 1617-9692

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https://doi.org/10.1007/978-3-031-26300-2Geometric Probability; Functional Inequalities; Asymptotic Geometric Analysis; Convex Geometry; Computat

休戰(zhàn)

Ronen Eldan,Bo‘a(chǎn)z Klartag,Emanuel MilmanFeatures an interdisciplinary mix of harmonic analysis, computational geometry, optimization & learning algorithms.Includes a unique combination of papers on convex geometry and high-dimensional analy

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Stress

The pathophysiology of anal leakageeas of B. Hellffer. We introduce general weak versions and show that they are equivalent to the weak Poincaré inequalities introduced by M. R?ckner and F. Y. Wang. We also discuss special weak versions appropriate to the study of log-concave measures and log-concave perturbations of product measures.

Innocence

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孵卵器

Asymptotic Expansions and Two-Sided Bounds in Randomized Central Limit Theorems,the normal law. The results are illustrated for several classes of random variables whose joint distributions are supported on Euclidean spheres. We also survey several results on improved rates of normal approximation in randomized central limit theorems.