Wiener Wintner Ergodic Theorems

by Idris Assani

Overview

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.

Product Details

ISBN-13:	9789810244392
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	05/26/2003
Pages:	228
Product dimensions:	6.10(w) x 9.10(h) x 0.60(d)