ENGLISH

Probability in Banach Spaces: Isoperimetry and Processes

By Michel Talagrand , Michel Ledoux

Book information

Publisher
Springer
Year
2006
ISBN
3540520139, 9783540520139
Language
english
Format
DJVU
Filesize
2 MB (2613829 bytes)
Series
Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics
Edition
draft
Pages
504\511
Library
Kolxo3
DPI
300
Time added
2012-08-21 20:00:00

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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