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portada Descargar ficha PDF Título: Dynamical Systems And Processes
Autor: Weber Michel Precio: $1607.91
Editorial: European Mathematical Society Año: 2009
Tema: Matematicas, Fisica, Teorias Edición:
Sinopsis ISBN: 9783037190463
This book presents in a concise and accessible way, as well as in a common setting, various tools and methods arising from spectral theory, ergodic theory and stochastic processes theory, which form the basis of and contribute interactively a great deal to the current research on almost-everywhere convergence problems.

Researchers working in dynamical systems and at the crossroads of spectral theory, ergodic theory and stochastic processes will find the tools, methods, and results presented in this book of great interest. It is written in a style accessible to graduate students.

A publication of the European Mathematical Society. Distributed within the Americas by the American Mathematical Society.

Table of Contents

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
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