The Generic Chaining

Upper and Lower Bounds of Stochastic Processes

By:

Michel Talagrand

Format:

Hardback

Series:

Springer Monographs in Mathematics

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Description

The fundamental question of characterizing continuity and boundedness of Gaussian processes goes back to Kolmogorov. After essential contributions by R. Dudley and X. Fernique, it was solved by the author in 1985. This advance was followed by a great improvement of our understanding of the boundedness of other fundamental classes of processes (empirical processes, infinitely divisible processes, etc.) This challenging body of work has now been considerably simplified through the notion of "generic chaining", a completely natural variation on the ideas of Kolmogorov. The entirely new presentation adopted here takes the reader from the first principles to the edge of current knowledge, and to the wonderful open problems that remain in this domain.

Release date Australia

March 17th, 2005

Author

Michel Talagrand

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

viii, 222 p.

Pages

222

Series

Springer Monographs in Mathematics

Dimensions

156x234x14

ISBN-13

9783540245186

Product ID

3820245

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