2 papers
math.DS2026
On a theorem Dan Rudolph: Part II: Amenable groups
Tomasz Downarowicz, Jean-Paul Thouvenot, Benjamin Weiss
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…
math.DS2024
Inducing countable Lebesgue spectrum
Fatna Abdedou, Bassam Fayad, Jean-Paul Thouvenot
We show that every ergodic dynamical system induces a system with pure Lebesgue spectrum of infinite multiplicity.