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Wiener Wintner Ergodic Theorems

Name: Wiener Wintner Ergodic Theorems
Brand: World Scientific Publishing Co Pte Ltd
SKU: 05066696
Price: 82.79 EUR
Availability: InStock
Author: Idris Assani
ISBN: 9789810244392

Idris Assani

Language

English

Book Hardback

Libristo code: 05066696

Publishers World Scientific Publishing Co Pte Ltd, May 2003

The Wiener Wintner ergodic theorem is a strengthening of Birkhoff pointwise ergodic theorem. Announc... Full description

Libristo code: 05066696

203 b

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The Wiener Wintner ergodic theorem is a strengthening of Birkhoff pointwise ergodic theorem. Announced by N. Wiener and A. Wintner, this theorem has introduced the study of a general phenomenon in ergodic theory in which samplings are "good" for an uncountable number of systems. This book studies the rate of convergence in the uniform version of this theorem and what are termed Wiener Wintner dynamical systems and prove for these systems two pointwise results: the a.e. double recurrence theorem and the a.e. continuity of the fractional rotated ergodic Hilbert transform. Some extensions of the Wiener Wintner ergodic theorem are also given.