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Field name	Details
Dewey Class	515.7
Title	Geometric Aspects of Functional Analysis ([EBook]) : Israel Seminar (GAFA) 2017-2019 Volume II / / edited by Bo'az Klartag, Emanuel Milman.
Added Personal Name	Klartag, Bo'az
Added Personal Name	Milman, Emanuel
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2020.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details	X, 348 p. 8 illus., 1 illus. in color. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 2266
ISBN	9783030467623
Summary Note	Continuing the theme of the previous volume, 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 addressed is 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. .:
Mode of acces to digital resource	Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note	- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-46762-3
Links to Related Works	Subject References: Convex and Discrete Geometry . Convex geometry . Discrete geometry . Functional Analysis . Probabilities . Probability theory and stochastic processes . Authors: editor . Klartag, Bo'az . Milman, Emanuel . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 515.7 .

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

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