A universal hypercyclic representation
Dynamical Systems
2014-09-19 v2 Functional Analysis
Abstract
For any countable group, and also for any locally compact second countable, compactly generated topological group, G, we show the existence of a "universal" hypercyclic (i.e. topologically transitive) representation on a Hilbert space, in the sense that it simultaneously models every possible ergodic probability measure preserving free action of G.
Cite
@article{arxiv.1401.2019,
title = {A universal hypercyclic representation},
author = {Eli Glasner and Benjamin Weiss},
journal= {arXiv preprint arXiv:1401.2019},
year = {2014}
}