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Dynamical Systems and Processes

Publisher: 
European Mathematical Society
Number of Pages: 
761
Price: 
128.00
ISBN: 
9783037190463
Date Received: 
Monday, November 16, 2009
Reviewable: 
No
Include In BLL Rating: 
No
Reviewer Email Address: 
Michel Weber
Series: 
IRMA Lectures in Mathematics and Theoretical Physics 14
Publication Date: 
2009
Format: 
Hardcover
Category: 
Monograph

Part I. Spectral theorems and convergence in mean

  • The von Neumann theorem and spectral regularization
  • Spectral representation of weakly stationary processes

Part II. Ergodic theorems

  • Dynamical systems--ergodicity and mixing
  • Pointwise ergodic theorems
  • Banach principle and continuity principle
  • Maximal operators and Gaussian processes
  • The central limit theorem for dynamical systems

Part III. Methods arising from the theory of stochastic processes

  • The metric entropy method
  • The majorizing measure method
  • Gaussian processes

Part IV. Three studies

  • Riemann sums
  • A study of the system $(f(nx))$
  • Divisors and random walks
  • Bibliography
  • Index
Publish Book: 
Modify Date: 
Thursday, April 1, 2010

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