Upper and lower bounds for stochastic processes : modern methods and classical problems / Michel Talagrand.

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Bibliographic Details
Main Author:	Talagrand, Michel, 1952- (Author)
Format:	Book
Language:	English
Published:	Berlin : Springer, [2014]
Series:	Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 60.
Subjects:	Stochastic processes. Gaussian processes.

Table of Contents:

1. Philosophy and Overview of the Book
2. Gaussian Processes and the Generic Chaining
3. Random Fourier Series and Trigonometric Sums, I. - 4. Matching Theorems I
5. Bernouilli Processes
6. Trees and the Art of Lower Bounds
7. Random Fourier Series and Trigonometric Sums, II
8. Processes Related to Gaussian Processes
9. Theory and Practice of Empirical Processes
10. Partition Scheme for Families of Distances
11. Infinitely Divisible Processes
12. The Fundamental Conjectures
13. Convergence of Orthogonal Series; Majorizing Measures
14. Matching Theorems, II: Shor's Matching Theorem. 15. The Ultimate Matching Theorem in Dimension >̲ 3
16. Applications to Banach Space Theory
17. Appendix: What this Book is Really About
18. Appendix: Continuity.

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