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Probability in Banach Spaces : Isoperimetry and Processes /
Isoperimetric, measure concentration and random process techniques appear at the basis of the modern understanding of Probability in Banach spaces. Based on these tools, the book presents a complete treatment of the main aspects of Probability in Banach spaces (integrability and limit theorems for v...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg,
1991.
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| Colección: | Ergebnisse der Mathematik und ihrer Grenzgebiete, A Series of Modern Surveys in Mathematics ;
23. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Introduction
- Notation
- Part 0. Isoperimetric Background and Generalities
- Chapter 1. Isoperimetric Inequalities and the Concentration of Measure Phenomenon
- Chapter 2. Generalities on Banach Space Valued Random Variables and Random Processes
- Part I. Banach Space Valued Random Variables and Their Strong Limiting Properties
- Chapter 3. Gaussian Random Variables
- Chapter 4. Rademacher Averages
- Chapter 5. Stable Random Variables
- Chapter 6. Sums of Independent Random Variables
- Chapter 7. The Strong Law of Large Numbers
- Chapter 8. The Law of the Iterated Logarithm
- Part II. Tightness of Vector Valued Random Variables and Regularity of Random Processes
- Chapter 9. Type and Cotype of Banach Spaces
- Chapter 10. The Central Limit Theorem
- Chapter 11. Regularity of Random Processes
- Chapter 12. Regularity of Gaussian and Stable Processes
- Chapter 13. Stationary Processes and Random Fourier Series
- Chapter 14. Empirical Process Methods in Probability in Banach Spaces
- Chapter 15. Applications to Banach Space Theory.