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  3. Ergodicity for Infinite Dimensional Systems
  • Cited by 712
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    • Publisher:
      Cambridge University Press
      Publication date:
      March 2010
      May 1996
      ISBN:
      9780511662829
      9780521579001
      DOI:
      https://doi.org/10.1017/CBO9780511662829
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.48kg, 352 Pages
      • Subjects:
      Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Probability Theory and Stochastic Processes, Statistics and Probability
      Series:
      London Mathematical Society Lecture Note Series (229)
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    Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Probability Theory and Stochastic Processes, Statistics and Probability
    Series:
    London Mathematical Society Lecture Note Series (229)
    Information

    Book description

    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; 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, special attention is paid to the asymptotic behaviour of the solutions, to invariant measures and ergodicity. Some of the results found here are presented for the first time. For all whose research interests involve stochastic modelling, dynamical systems, or ergodic theory, this book will be an essential purchase.

    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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