A universal hypercyclic representation

作者：Glasner Eli^*; Weiss Benjamin

来源：Journal of Functional Analysis, 2015, 268(11): 3478-3491.

DOI：10.1016/j.jfa.2015.02.002

• Frequently hypercyclic
• Universal linear system
• Ergodic system
• Compactly generated groups

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.

• 出版日期2015-6-1