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Stochastic Evolution Systems

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Stochastic Evolution Systems Synopsis

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.

About This Edition

ISBN: 9783319948928
Publication date:
Author: Boris L Rozovsky, Sergey V Lototsky
Publisher: Springer International Publishing AG
Format: Hardback
Pagination: 330 pages
Series: Probability Theory and Stochastic Modelling
Genres: Probability and statistics
Stochastics
Differential calculus and equations
Functional analysis and transforms
Electrical engineering
Mathematical physics

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