Ergodicity via continuity
Dynamical Systems
2018-12-06 v1
Abstract
We show that the ergodicity of an aperiodic automorphism of a Lebesgue space is equivalent to the continuity of a certain map on a metric Boolean algebra. A related characterization is also presented for periodic and totally ergodic transformations
Keywords
Cite
@article{arxiv.1812.02077,
title = {Ergodicity via continuity},
author = {Ivan Podvigin},
journal= {arXiv preprint arXiv:1812.02077},
year = {2018}
}