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arXiv · 1401.2019

A universal hypercyclic representation

Eli Glasner·Benjamin Weiss
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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.

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Eli Glasner, Benjamin Weiss. 2014-01-09. A universal hypercyclic representation. https://arxiv.org/abs/1401.2019

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