Norm convergence of nilpotent ergodic averages
Dynamical Systems
2011-12-02 v2
Abstract
We show that multiple polynomial ergodic averages arising from nilpotent groups of measure preserving transformations of a probability space always converge in the L^2 norm.
Keywords
Cite
@article{arxiv.1109.2922,
title = {Norm convergence of nilpotent ergodic averages},
author = {Miguel N. Walsh},
journal= {arXiv preprint arXiv:1109.2922},
year = {2011}
}
Comments
17 pages. Added further results and examples