Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415110 | Journal of Functional Analysis | 2015 | 14 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Eli Glasner, Benjamin Weiss,