Lectures on Stochastic Analysis: Diffusi

Lectures on Stochastic Analysis: Diffusi
1 929,- 1 929,-
Format E-Bok
Filformat PDF
Utgivelsesår 1987
Forlag Cambridge University Press
Språk Engelsk
ISBN 9781316086841
Serie London Mathematical Society Student Texts
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Om Lectures on Stochastic Analysis: Diffusi

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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