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A universal hypercyclic representation

By Eli Glasner

Also appears in collection : Frontiers of operator dynamics / Frontières de la dynamique linéaire

For any countable group, and also for any locally compact second countable, compactly generated topological group, $G$, there exists a "universal" hypercyclic representation on a Hilbert space, in the sense that it simultaneously models every possible ergodic probability measure preserving free action of $G$. I will discuss the original proof of this theorem (a joint work with Benjy Weiss) and then, at the end of the talk, say some words about the development of this idea and its applications as expounded in a subsequent work of Sophie Grivaux.

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Citation data

  • DOI 10.24350/CIRM.V.18843403
  • Cite this video Glasner, Eli (30/09/2015). A universal hypercyclic representation. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.18843403
  • URL https://dx.doi.org/10.24350/CIRM.V.18843403

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