Speedups of ergodic group extensions
Dynamical Systems
2012-03-23 v4
Abstract
We prove that for all ergodic extensions S_1 of a transformation by a locally compact second countable group G, and for all G-extensions S_2 of an aperiodic transformation, there is a relative speedup of S_1 that is relatively isomorphic to S_2. We apply this result to give necessary and sufficient conditions for two ergodic n-point or countable extensions to be related in this way.
Keywords
Cite
@article{arxiv.1112.4406,
title = {Speedups of ergodic group extensions},
author = {Andrey Babichev and Robert M. Burton and Adam Fieldsteel},
journal= {arXiv preprint arXiv:1112.4406},
year = {2012}
}