Theory and applications of stochastic processes:an analytical approach
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Main Authors: | |
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Corporate Authors: | |
Published: |
Springer,
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Publisher Address: | New York London |
Publication Dates: | c2010. |
Literature type: | Book |
Language: | English |
Series: |
Applied mathematical sciences ; v. 170 |
Subjects: | |
Online Access: |
http://dx.doi.org/10.1007/978-1-4419-1605-1 |
Carrier Form: | 1 online resource (xvii, 468 p.): ill. |
ISBN: |
9781441916051 1441916059 9781441916044 1441916040 |
Index Number: | O211 |
CLC: | O211.6 |
Contents: |
Includes bibliographical references (p. 442-458) and index. The physical Brownian motion : diffusion and noise -- The probability space of Brownian motion -- Itô integration and calculus -- Stochastic differential equations -- The discrete approach and boundary behavior -- The first passage time of diffusions -- Markov processes and their diffusion approximations -- Diffusion approximations to Langevin's equation -- Large deviations of Markovian jump processes -- Noise-induced escape from an attractor -- Stochastic stability. |