Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 Volume II: 2266 (Lecture Notes in Mathematics) - Tapa blanda

9783030467616: Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 Volume II: 2266 (Lecture Notes in Mathematics)

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ISBN 10: 3030467619 ISBN 13: 9783030467616

Editorial: Springer, 2020

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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 Poincar� 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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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 Poincar� 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.

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Editorial: Springer
A�o de publicaci�n: 2020
Idioma: Ingl�s
ISBN 10: 3030467619
ISBN 13: 9783030467616
Encuadernaci�n: Tapa blanda
N�mero de edici�n: 1
N�mero de p�ginas: 364
Editor: Klartag Bo'az, Milman Emanuel
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Geometric Aspects of Functional Analysis: Israel Seminar (GAFA) 2017-2019 Volume II (Lecture Notes in Mathematics, 2266)

Klartag, Bo'az [Editor]; Milman, Emanuel [Editor];

Publicado por Springer, 2020

ISBN 10: 3030467619 ISBN 13: 9783030467616

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

Klartag, B. et al (Eds.)

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Geometric Aspects of Functional Analysis (eng)

Klartag, Bo'az

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Geometric Aspects of Functional Analysi (eng)

Klartag, Bo'az

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Geometric Aspects of Functional Analysis (Paperback)

Bo'az Klartag

Publicado por Springer Nature Switzerland AG, Cham, 2020

ISBN 10: 3030467619 ISBN 13: 9783030467616

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Paperback. Condici�n: new. Paperback. 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 Poincare 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 BrunnMinkowski 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N� de ref. del art�culo: 9783030467616

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