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Ergodicity for Infinite Dimensional Systems

Ergodicity for Infinite Dimensional Systems

Paperback

Series: London Mathematical Society Lecture Note, Book 229

General MathematicsProbability & Statistics

ISBN10: 0521579007
ISBN13: 9780521579001
Publisher: Cambridge University Press
Published: May 16 1996
Pages: 352
Weight: 1.14
Height: 0.79 Width: 6.00 Depth: 9.00
Language: English
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.

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