Stochastic Evolution Systems / Probability Theory and Stochastic Modelling Bd.89 (PDF)
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This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations.
The emphasis lies on second-order stochastic parabolic equations and their connection to random dynamical systems. The authors further explore applications to the theory of optimal non-linear filtering, prediction, and smoothing of partially observed diffusion processes. The new edition now also includes a chapter on chaos expansion for linear stochastic evolution systems.
This book will appeal to anyone working in disciplines that require tools from stochastic analysis and PDEs, including pure mathematics, financial mathematics, engineering and physics.
Sergey Lototsky earned a Master's degree in Physics in 1992 from the Moscow Institute of Physics and Technology, followed by a PhD in Applied Mathematics in 1996 from the University of Southern California. After a year-long post-doc at the Institute for Mathematics and its Applications and a three-year term as a Moore Instructor at MIT, he returned to the department of Mathematics at USC as a faculty member in 2000. He specializes in stochastic analysis, with emphasis on stochastic differential equation. He supervised more than 10 PhD students and had visiting positions at the Mittag-Leffler Institute in Sweden and at several universities in Israel and Italy.
- Autoren: Boris L. Rozovsky , Sergey V. Lototsky
- 2018, 2nd ed. 2018, 330 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 3319948938
- ISBN-13: 9783319948935
- Erscheinungsdatum: 03.10.2018
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- Dateiformat: PDF
- Größe: 3.58 MB
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