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Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 2020-2022 / / edited by Ronen Eldan, Bo'az Klartag, Alexander Litvak, Emanuel Milman



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Autore: Eldan Ronen Visualizza persona
Titolo: Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 2020-2022 / / edited by Ronen Eldan, Bo'az Klartag, Alexander Litvak, Emanuel Milman Visualizza cluster
Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2023
Edizione: 1st ed. 2023.
Descrizione fisica: 1 online resource (443 pages)
Disciplina: 515.7
Soggetto topico: Functional analysis
Convex geometry
Discrete geometry
Probabilities
Functional Analysis
Convex and Discrete Geometry
Probability Theory
Anàlisi funcional
Geometria analítica
Soggetto genere / forma: Llibres electrònics
Altri autori: KlartagBo'az  
LitvakAlexander  
MilmanEmanuel  
EldanRonen  
Sommario/riassunto: This book reflects general trends in the study of geometric aspects of functional analysis, understood in a broad sense. A classical theme in the local 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 thin-shell and related assumptions. Classical convexity theory plays a central role in this volume, as well as the study of geometric inequalities. These inequalities, which are somewhat in spirit of the Brunn-Minkowski inequality, in turn shed light on convexity and on the geometry of Euclidean space. Probability measures with convexity or curvature properties, such as log-concave distributions, occupy an equally central role and arise in the study of Gaussian measures and non-trivial properties of the heat flow in Euclidean spaces. Also discussed are interactions of this circle of ideas with linear programming and sampling algorithms, including the solution of a question in online learning algorithms using a classical convexity construction from the 19th century.
Titolo autorizzato: Geometric Aspects of Functional Analysis  Visualizza cluster
ISBN: 3-031-26300-6
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910746951403321
Lo trovi qui: Univ. Federico II
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Serie: Lecture Notes in Mathematics, . 1617-9692 ; ; 2327