Convergence uniforme des moyennes ergodiques des fonctions continues
Dynamical Systems
2013-03-18 v3
Abstract
The goal of this work is to study the space of continuous functions whose ergodic averages converge everywhere towards a continuous function. We will connect, as in the case of a metric study, the convergence of the ergodic averages and the projection of continuous functions on the subspace of invariant functions. We will see that this determines the continuity of the projection of the system onto a certain factor.
Keywords
Cite
@article{arxiv.1004.2568,
title = {Convergence uniforme des moyennes ergodiques des fonctions continues},
author = {Jean-François Bertazzon},
journal= {arXiv preprint arXiv:1004.2568},
year = {2013}
}
Comments
This paper has been withdrawn by the author. 29 pages, article in the course of rewriting