Bo’az Klartag & Emanuel Milman 
Geometric Aspects of Functional Analysis [PDF ebook] 
Israel Seminar (GAFA) 2017-2019 Volume I

Ondersteuning

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 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.

€71.05
Betalingsmethoden
Koop dit e-boek en ontvang er nog 1 GRATIS!
Taal Engels ● Formaat PDF ● ISBN 9783030360207 ● Editor Bo’az Klartag & Emanuel Milman ● Uitgeverij Springer International Publishing ● Gepubliceerd 2020 ● Downloadbare 3 keer ● Valuta EUR ● ID 8085649 ● Kopieerbeveiliging Adobe DRM
Vereist een DRM-compatibele e-boeklezer

Meer e-boeken van dezelfde auteur (s) / Editor

50.053 E-boeken in deze categorie