3 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.DS2025
Measurable entire functions II
Adi Glücksam, Benjamin Weiss
Let denote the space of entire functions with the topology of uniform convergence on compact sets. The action of by translations on is define…
math.GR2025
On the Jewett-Krieger theorem for amenable groups
Benjamin Weiss
Up to now there has been no proof in the literature of the often quoted fact that the Jewett-Krieger theorem is valid for all countable amenable groups. In this brief note I will c…