ENGLISH

Lectures on stochastic analysis: Diffusion theory

By Daniel W. Stroock

Book information

Publisher
CUP
Year
1987
ISBN
9780521336451, 0521336457
LCC
QA274.75 .S85 1987
Open Library ID
OL2726946M
Language
english
Format
DJVU
Filesize
542 kB (554780 bytes)
Series
London Mathematical Society Student Texts
Pages
138\138
Topic
Mathematics\\Probability
Library
Kolxo3
DPI
300
Time added
2010-07-29 05:14:56

Description

This book is based on a course given at Massachusetts Institute of Technology. It is intended to be a reasonably self-contained introduction to stochastic analytic techniques that can be used in the study of certain problems. The central theme is the theory of diffusions. In order to emphasize the intuitive aspects of probabilistic techniques, diffusion theory is presented as a natural generalization of the flow generated by a vector field. Essential to the development of this idea is the introduction of martingales and the formulation of diffusion theory in terms of martingales. The book will make valuable reading for advanced students in probability theory and analysis and will be welcomed as a concise account of the subject by research workers in these fields.

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