Diffusions, Markov Processes, and Martingales: Volume 1, Foundations - Brossura

Rogers, L. C. G.

Brossura

ISBN 10: 0521775949 ISBN 13: 9780521775946

Casa editrice: Cambridge University Press, 2000

Riassunto

Now available in paperback, this celebrated book has been prepared with readers' needs in mind, remaining a systematic guide to a large part of the modern theory of Probability, whilst retaining its vitality. The authors' aim is to present the subject of Brownian motion not as a dry part of mathematical analysis, but to convey its real meaning and fascination. The opening, heuristic chapter does just this, and it is followed by a comprehensive and self-contained account of the foundations of theory of stochastic processes. Chapter 3 is a lively and readable account of the theory of Markov processes. Together with its companion volume, this book helps equip graduate students for research into a subject of great intrinsic interest and wide application in physics, biology, engineering, finance and computer science.

Su questo libro

Descrizione del libro:

Now available in paperback, this celebrated book has been prepared with readers' needs in mind, remaining a systematic treatment of the subject whilst retaining its vitality. Together with its companion volume, it helps equip graduate students for research into a subject of great intrinsic interest and wide application.

Contenuti:

Some frequently used notation; 1. Brownian motion; Part I. Introduction; 2. Basics about Brownian motion; 3. Brownian motion in higher dimensions; 4. Gaussian processes and Lévy processes; Part II. Some Classical Theory; 5. Basic measure theory; 6. Basic probability theory; 7. Stochastic processes; 8. Discrete-parameter martingale theory; 9. Continuous-parameter martingale theory; 10. Probability measure on Lusin spaces; Part III. Markov Processes: 11. Transition functions and resolvents; 12. Feller–Dynkin processes; 13. Additive functionals; 14. Approach to ray processes: the Martin boundary; 15. Ray processes; 16. Applications; References; Index.

Su questa edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2000
• ISBN 10: 0521775949
• ISBN 13: 9780521775946
• Rilegatura: Copertina flessibile
• Numero edizione: 2
• Numero di pagine: 408