Diffusions, Markov Processes, and Martingales
Top Cited Papers
- 13 April 2000
- book
- Published by Cambridge University Press (CUP)
Abstract
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.Keywords
This publication has 203 references indexed in Scilit:
- Multiple points in the sample paths of a Lévy processProbability Theory and Related Fields, 1987
- Continuity of martingales in the Brownian excursion filtrationProbability Theory and Related Fields, 1987
- Conservative diffusionsCommunications in Mathematical Physics, 1984
- A local time approach to the self-intersections of Brownian paths in spaceCommunications in Mathematical Physics, 1983
- Excursions of dual processesAdvances in Mathematics, 1982
- Calculation of some conditional excursion formulaeProbability Theory and Related Fields, 1982
- Local time is a semi-martingaleProbability Theory and Related Fields, 1982
- Study of a filtration expanded to include an honest timeProbability Theory and Related Fields, 1978
- Brownian local timesAdvances in Mathematics, 1975
- Syst mes de l vy des processus de markovInventiones Mathematicae, 1973