23 citations · 125 across the 42 of their papers we have counts for
6 papers · 1 filter
On the bounded cohomology of ergodic group actions
Jon. Aaronson, Benjamin Weiss
In this note we show existence of bounded, transitive cocycles over a transitive action of a finitely generated group, and bounded, ergodic cocycles over an ergodic, probability pr…
On weak rigidity and weakly mixing enveloping semigroups
Ethan Akin, Eli Glasner, Benjamin Weiss
The question we deal with here, which was presented to us by Joe Auslander and Anima Nagar, is whether there is a nontrivial cascade (X,T) whose enveloping semigroup, as a dynamica…
Relative weak mixing is generic
Eli Glasner, Benjamin Weiss
A classical result of Halmos asserts that among measure preserving transformations the weak mixing property is generic. We extend Halmos' result to the collection of ergodic extens…
Measure Preserving Diffeomorphisms of the Torus are Unclassifiable
Matthew Foreman, Benjamin Weiss
The isomorphism problem in ergodic theory was formulated by von Neumann in 1932 in his pioneering paper Zur Operatorenmethode in der klassischen Mechanik (Ann. of Math. (2), 33(3):…
From Odometers to Circular Systems: A global structure theorem
Matthew Foreman, Benjamin Weiss
The main result of this paper is that two large collections of ergodic measure preserving systems, the Odometer Based and the Circular Systems have the same global structure with r…
Spectra of stationary processes on Z
Alexander Borichev, Mikhail Sodin, Benjamin Weiss
We will discuss a somewhat striking spectral property of finitely valued stationary processes on Z that says that if the spectral measure of the process has a gap then the process…