Ergodicity for Infinite Dimensional Systems

By: Giuseppe Da Prato, J. Zabczyk, G. Da Prato

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Paperback | 15 July 1996

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352 Pages

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22.86 x 15.24 x 2.01

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This book is devoted to the asymptotic properties of solutions of stochastic evolution equations in infinite dimensional spaces. It is divided into three parts: Markovian dynamical systems; invariant measures for stochastic evolution equations; and invariant measures for specific models. The focus is on models of dynamical processes affected by white noise, which are described by partial differential equations such as the reaction-diffusion equations or Navier-Stokes equations. Besides existence and uniqueness questions, the authors pay special attention to the asymptotic behavior of the solutions, to invariant measures and ergodicity. The authors present some of the results found here for the first time. For all whose research interests involve stochastic modeling, dynamical systems, or ergodic theory, this book will be an essential purchase.

Industry Reviews

"In the reviewer's opinion, the monograph provides an important contribution to the theory of stochastic infinite-dimensional systems, especially to the investigation of their asymptotic behavior...Although the authors concentrate on their own results, they also have taken an important and successful step in this direction." Bohdan Maslowski, Mathematical Reviews

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Markovian Dynamical Systems
General dynamical systems
Canonical Markovian systems
Ergodic and mixing measures
Regular Markovian systems
Invariant Measures For Stochastics For Evolution Equations
Stochastic differential equations
Existence of invariant measures
Uniqueness of invariant measures
Densities of invariant measures
Invariant Measures For Specific Models
Ornstein-Uhlenbeck processes
Stochastic delay systems
Reaction-diffusion equations
Spin systems
Systems perturbed through the boundary
Burgers equation
Navier-Stokes equations
Appendices
Table of Contents provided by Publisher. All Rights Reserved.

Ergodicity for Infinite Dimensional Systems

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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