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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.
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.
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