Heaviness: An extension of a lemma of Yuval Peres

In a 1988 paper, Y. Peres proved that in any probability-measure preserving system {X, mu, T}, where X is compact and T is continuous, coupled with a continuous function f, there is at least one point x (which we term heavy) such that 1ni=0 n-1f&j0;Ti&parl0;x&parr0;≥ Xfdm for...

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Bibliographic Details
Main Author: Ralston, David
Other Authors: Boshernitzan, Michael
Format: Others
Language:English
Published: 2009
Subjects:
Online Access:http://hdl.handle.net/1911/22199