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Michel Ledoux : Probability in Banach Spaces: Isoperimetry and Processes (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics)
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Author: Michel Ledoux
Title: Probability in Banach Spaces: Isoperimetry and Processes (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics)
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Topics:
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Published in: German (Germany)
Binding: Hardcover
Pages: 494
Date: 1991-07-21
ISBN: 3540520139
Publisher: Springer
Weight: 2.0 pounds
Size: 6.89 x 1.06 x 9.84 inches
Amazon prices:
$176.08used
$179.49new
$205.31Amazon
Description: Product Description
Isoperimetric, measure concentration and random process techniques appear 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 (integrability and limit theorems for vector valued random variables, boundedness and continuity of random processes) and of some of their links to Geometry of Banach spaces (via the type and cotype properties). Its purpose is to present some of the main aspects of this theory, from the foundations to the most important achievements. The main features of the investigation are the systematic use of isoperimetry and concentration of measure and abstract random process techniques (entropy and majorizing measures). Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.
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