Wiener Wintner Ergodic Theorems

Front Cover
World Scientific, Jan 1, 2003 - Mathematics - 216 pages
0 Reviews
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. We study the rate of convergence in the uniform version of this theorem and what we call 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.

What people are saying - Write a review

We haven't found any reviews in the usual places.

Other editions - View all

References to this book

Bibliographic information