23 citations · 125 across the 42 of their papers we have counts for
55 papers
Some Generic Properties of Processes
Benjamin Weiss
For a given ergodic measure preserving transformation T of a standard measure space each finite labelled partition defines an ergodic stationary process. There is a complete metric…
Poisson genericity in numeration systems with exponentially mixing probabilities
Nicolás Álvarez, Verónica Becher, Eda Cesaratto +3
We define Poisson genericity for infinite sequences in any finite or countable alphabet with an invariant exponentially-mixing probability measure. A sequence is Poisson generic if…
Rigid topologies on groups
Eli Glasner, Benjamin Weiss
Our main result is to show that every infinite, countable, residually finite group admits a Hausdorff group topology which is neither discrete nor precompact.
An ergodic system is dominant exactly when it has positive entropy
Tim Austin, Eli Glasner, Jean-Paul Thouvenot +1
An ergodic dynamical system is called dominant if it is isomorphic to a generic extension of itself. It was shown in an earlier paper by Glasner, Thouvenot and Weiss t…
Pure strictly uniform models of non-ergodic measure automorphisms
Tomasz Downarowicz, Benjamin Weiss
The classical theorem of Jewett and Krieger gives a strictly ergodic model for any ergodic measure preserving system. An extension of this result for non-ergodic systems was given…
When all points are generic for ergodic measures
Tomasz Downarowicz, Benjamin Weiss
We establish connections between several properties of topological dynamical systems, such as: - every point is generic for an ergodic measure, - the map sending points to the meas…