A universal hypercyclic representation

Chapitres

Apparaît dans les collections : Frontiers of operator dynamics / Frontières de la dynamique linéaire, Exposés de recherche

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.

Informations sur la vidéo

Date de captation 30/09/2015
Date de publication 03/11/2015
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.18843403
Citer cette vidéo 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

Domaine(s)

Bibliographie

Glasner, E., & Weiss, B. (2015). A universal hypercyclic representation. Journal of Functional Analysis, 268(11), 3478-3491 - http://dx.doi.org/10.1016/j.jfa.2015.02.002