Probability in Banach Spaces - Isoperimetry and Processes (Paperback, 2011. Reprint of the 1st ed. 1991, Springer Berlin Heidelberg)

New isoperimetric inequalities and random process techniques have recently appeared at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (e.g. boundedness and continuity of random processes, integrability and limit theorems for vector valued random variables) and of some of their links to Geometry of Banach spaces. Its purpose is to present some of the main aspects of this theory, from the foundations to the latest developments, treated with the most recent and updated tools. In particular, the most important features are the systematic use of isoperimetry and related concentration of measure phenomena (to study integrability and limit theorems for vector valued random variables), and recent abstract random process techniques (entropy and majorizing measures). Some examples of these probabilistic ideas to classical Banach space theory complete this exposition.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Classics in Mathematics
Release date:	July 2011
First published:	1991
Authors:	Michel Ledoux • Michel Talagrand
Dimensions:	235 x 155 x 28mm (L x W x T)
Format:	Paperback
Pages:	480
Edition:	2011. Reprint of the 1st ed. 1991, Springer Berlin Heidelberg
ISBN-13:	978-3-642-20211-7
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Calculus of variations Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN:	3-642-20211-X
Barcode:	9783642202117

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