On a theorem Dan Rudolph: Part II: Amenable groups
Dynamical Systems
2026-01-07 v1
Abstract
We prove an analog of Rudolph's theorem for actions of countable amenable groups, which asserts that among invariant measures with entropy at least c on the -shift , a typical measure has entropy and is Bernoulli. We also address a relative version of this theorem.
Cite
@article{arxiv.2601.02939,
title = {On a theorem Dan Rudolph: Part II: Amenable groups},
author = {Tomasz Downarowicz and Jean-Paul Thouvenot and Benjamin Weiss},
journal= {arXiv preprint arXiv:2601.02939},
year = {2026}
}
Comments
16 pages, 1 figure