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This compact yet thorough text zeros in on the parts of the theory that are useful for applications to mathematical finance, queuing theory, biology, and physics. It begins with a description of Brownian motion and the associated stochastic calculus, including their relationship to partial differential equations. It solves stochastic differential equations by a variety of methods and studies in detail the one dimensional case.
This time-saving book concludes by treating semigroups and generators, applying the theory of Harris chains to diffusions, and presenting a quick course in weak convergence of Markov chains to diffusions.
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Edition Notes
Includes bibliographical references (p. [335]-338) and index.
Rev. ed. of: Brownian motion and martingales in analysis. c1984.
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- Created April 1, 2008
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August 2, 2024 | Edited by MARC Bot | import existing book |
June 29, 2023 | Edited by ImportBot | import existing book |
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April 1, 2008 | Created by an anonymous user | Imported from Scriblio MARC record |