Overview

In recent years, the study of the theory of Brownian motion has become a powerful tool in the solution of problems in mathematical physics. This self-contained and readable exposition by leading authors, provides a rigorous account of the subject, emphasizing the ""explicit"" rather than the ""concise"" where necessary, and addressed to readers interested in probability theory as applied to analysis and mathematical physics.A distinctive feature of the methods used is the ubiquitous appearance of stopping time. The book contains much original research by the authors (some of which published here for the first time) as well as detailed and improved versions of relevant important results by other authors, not easily accessible in existing literature.

Full Product Details

Author:   Kai L. Chung ,  Zhongxin Zhao
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1st ed. 1995. Corr. 2nd printing 2001
Volume:   312
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.643kg
ISBN:  

9783540570301

ISBN 10:   3540570306
Pages:   292
Publication Date:   13 April 1995
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1. Preparatory Material.- 2. Killed Brownian Motion.- 3. Schrödinger Operator.- 4. Stopped Feynman-Kac Functional.- 5. Conditional Brownian Motion and Conditional Gauge.- 6. Green Functions.- 7. Conditional Gauge and q-Green function.- 8. Various Related Developments.- 9. The Case of One Dimension.- References.

Reviews

This book is an excellent contribution to potential theory and stochastic processes, and recommended to researchers and graduate students of mathematics and mathematical physics. - M. Nagasawa, Universit??t Z??rich

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