On a theorem Dan Rudolph: Part II: Amenable groups
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 $G$-shift $(Λ^G,σ)$, a typical measure has entropy $c$ and is Bernoulli. We also address a relative version of this theorem.
Fields of Study & Subjects
Advanced Operator Algebra Research
Mathematical Dynamics and Fractals
Geometric and Algebraic Topology
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 6 January 2026
- Document type
- Preprint