# Dynamical Systems and Processes

###### Michel Weber
Publisher:
European Mathematical Society
Publication Date:
2009
Number of Pages:
761
Format:
Hardcover
Series:
IRMA Lectures in Mathematics and Theoretical Physics 14
Price:
128.00
ISBN:
9783037190463
Category:
Monograph
We do not plan to review this book.

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