Probability in Banach Spaces: Isoperimetry and Processes

Ledoux, Michel;Talagrand, Michel

ISBN 10: 0387520139 / ISBN 13: 9780387520131

Published by Secaucus, New Jersey, U.S.A.: Springer Verlag, 1991

About this Item

**INTERNATIONAL EDITION** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments go through via USPS/UPS/DHL with tracking numbers. Great professional textbook selling experience and expedite shipping service.

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Bibliographic Details

• Title: Probability in Banach Spaces: Isoperimetry and Processes
• Publisher: Secaucus, New Jersey, U.S.A.: Springer Verlag
• Publication Date: 1991
• Language: English
• ISBN 10: 0387520139
• ISBN 13: 9780387520131
• Binding: Soft cover
• Edition: 1st Edition
• Condition: New
• Dust Jacket Condition: New

About this title

Synopsis

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 (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 develop- ments, treated with the most recent and updated tools. In particular, the most important features are the sys- tematic 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.

From the Back Cover

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.