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USD Sign in to Purchase Instantly. Temporarily Out of Stock Online Please check back later for updated availability. Overview Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Reprint of the 1st ed. Show More.

## Probability Distributions on Banach Spaces

Table of Contents Notation. Isoperimetric Background and Generalities.

Isoperimetric Inequalities and the Concentration of Measure Phenomenon. Gaussian Random Variables.

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Rademacher Averages. Stable Random Variables. Examples of these probabilistic tools and ideas to classical Banach space theory are further developed.

He is moreover, since , a senior member of the Institut Universitaire de France, having been also a junior member from to He has held associate editor appointments for various journals, including the Annals of Probability and Probability Theory and Related Fields current. His research interests centre on probability, random matrices, logarithmic Sobolev inequalities, probability in Banach spaces.

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His thesis was directed by Gustave Choquet and his interests revolve around the theory of stochastic processes and probability in Banach spaces, as well as the mathematical theory of spin glasses. He was invited to deliver a lecture at the International Congress of Mathematicians in , and to deliver a plenary lecture at the same congress in He received the Loeve Prize and the Fermat Prize for his work in probability theory.

## Michel Talagrand's Webpage

He was elected to the Paris Academy of Sciences in This book gives an excellent, almost complete account of the whole subject of probability in Banach spaces, a branch of probability theory that has undergone vigorous development There is no doubt in the reviewer's mind that this book [has] become a classic. As the authors state, "this book tries to present some of the main aspects of the theory of probability in Banach spaces, from the foundation of the topic to the latest developments and current research questions''.

The authors have succeeded admirably This very comprehensive book develops a wide variety of the methods existing It [has] become an event for mathematicians Zentralblatt MATH. Andra format: Inbunden The papers contained in this volume are an indication of the topics th discussed and the interests of the participants of The 9 International Conference on Probability in Banach Spaces, held at Sandjberg, Denmark, August , A glance at the table of contents indicates the broad range of topics covered at this conference. What defines research in this field is not so much the topics considered but the generality of the ques- tions that are asked.