Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 2017-2019 Volume II

Language: English

Published by Springer, 2020

3030467619 / 9783030467616

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Druck auf Anfrage Neuware - Printed after ordering - Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest examples of regularity and order in high dimensions. Central to the text is the study of the Poincaré and log-Sobolev functional inequalities, their reverses, and other inequalities, in which a crucial role is often played by convexity assumptions such as Log-Concavity. The concept and properties of Entropy form an important subject, with Bourgain's slicing problem and its variants drawing much attention. Constructions related to Convexity Theory are proposed and revisited, as well as inequalities that go beyond the Brunn-Minkowski theory. One of the major current research directions addressedis the identification of lower-dimensional structures with remarkable properties in rather arbitrary high-dimensional objects. In addition to functional analytic results, connections to Computer Science and to Differential Geometry are also discussed. …

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Title
Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 2017-2019 Volume II
Author
Bo'az Klartag
Publisher
Springer
Publication year
2020
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3030467619
ISBN 13
9783030467616
Item weight
552 grams
Dimensions
235x155x20 mm

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