Probability in Banach Spaces: Isoperimetry and Processes - Softcover

Ledoux, Michel; Talagrand, Michel

Softcover

ISBN 10: 3642202136 ISBN 13: 9783642202131

Publisher: Springer, 2014

Synopsis

Notation.- 0. Isoperimetric Background and Generalities.- 1. Isoperimetric Inequalities and the Concentration of Measure Phenomenon.- 2. Generalities on Banach Space Valued Random Variables and Random Processes.- I. Banach Space Valued Random Variables and Their Strong Limiting Properties.- 3. Gaussian Random Variables.- 4. Rademacher Averages.- 5. Stable Random Variables.- 6 Sums of Independent Random Variables.- 7. The Strong Law of Large Numbers.- 8. The Law of the Iterated Logarithm.- II. Tightness of Vector Valued Random Variables and Regularity of Random Processes.- 9. Type and Cotype of Banach Spaces.- 10. The Central Limit Theorem.- 11. Regularity of Random Processes.- 12. Regularity of Gaussian and Stable Processes.- 13. Stationary Processes and Random Fourier Series.- 14. Empirical Process Methods in Probability in Banach Spaces.- 15. Applications to Banach Space Theory.- References.

Edition details

• Publisher: Springer
• Publication date: 2014
• Language: English
• ISBN 10: 3642202136
• ISBN 13: 9783642202131
• Binding: Paperback
• Number of pages: 500