4 papers
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 ,…
Monotonicity, Topology, and Convexity of Recurrence in Random Walks
Rupert Li, Elchanan Mossel, Benjamin Weiss
We consider non-homogeneous random walks on the two-dimensional positive quadrant and the one-dimensional slab . In the 1960's the f…
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…
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…