Autor: Michel Talagrand
ISBN-13: 9783540245186
Einband: Book
Seiten: 222
Gewicht: 456 g
Format: 244x162x22 mm
Sprache: Englisch

The Generic Chaining

Springer Monographs in Mathematics
Upper and Lower Bounds for Stochastic Processes
 Book
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Overview and Basic Facts.- Gaussian Processes and Related Structures.- Matching Theorems.- The Bernoulli Conjecture.- Families of distances.- Applications to Banach Space Theory.
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.

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Autor: Michel Talagrand
ISBN-13 :: 9783540245186
ISBN: 3540245189
Erscheinungsjahr: 17.03.2005
Verlag: Springer-Verlag GmbH
Gewicht: 456g
Seiten: 222
Sprache: Englisch
Auflage 2005. 2005
Sonstiges: Buch, 244x162x22 mm, Bibliographie