Lectures on stochastic analysis : diffusion theory /

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 i...

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Bibliographic Details
Main Author: Stroock, Daniel W.
Format: Electronic eBook
Language:English
Published: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1987.
Series:London Mathematical Society student texts ; 6.
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Online Access:CONNECT
Description
Summary: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.
Item Description:Includes index.
EBSCO eBook Academic Comprehensive Collection North America
Physical Description:1 online resource (ix, 128 pages)
ISBN:9781107361348
1107361346