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This compact yet thorough text zeros in on the parts of the theory that are particularly relevant to applications . 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. The book concludes with a treatment of semigroups and generators, applying the theory of Harris chains to diffusions, and presenting a quick course in weak convergence of Markov chains to diffusions.
The presentation is unparalleled in its clarity and simplicity. Whether your students are interested in probability, analysis, differential geometry or applications in operations research, physics, finance, or the many other areas to which the subject applies, you'll find that this text brings together the material you need to effectively and efficiently impart the practical background they need.
| Brownian Motion | |
| Stochastic Integration | |
| Brownian Motion, II | |
| Partial Differential Equations | |
| Stochastic Differential Equations | |
| One Dimensional Diffusions | |
| Diffusions as Markov Processes | |
| Weak Convergence | |
| Solutions to Exercises | |
| References | |
| Index | |
| Table of Contents provided by Blackwell. All Rights Reserved. |
ISBN: 9780849380716
ISBN-10: 0849380715
Series: Probability and Stochastics Series
Audience:
Professional
Format:
Hardcover
Language:
English
Number Of Pages: 341
Published: 21st June 1996
Publisher: Taylor & Francis Inc
Country of Publication: US
Dimensions (cm): 24.77 x 16.51
x 2.54
Weight (kg): 0.7
Edition Number: 2
