English
A universal hypercyclic representation
Post-edited
Auteurs : Glasner, Eli (Auteur de la conférence)
CIRM (Editeur )
37A05 - Measure-preserving transformations
37A15 - General groups of measure-preserving transformations
37A25 - Ergodicity, mixing, rates of mixing
37A30 - Ergodic theorems, spectral theory, Markov operators
47A16 - Cyclic vectors, hypercyclic and chaotic operators
47A67 - Representation theory
47D03 - Groups and semigroups of linear operators
CIRM (Editeur )
Résumé :
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.
Codes MSC : 37A05 - Measure-preserving transformations
37A15 - General groups of measure-preserving transformations
37A25 - Ergodicity, mixing, rates of mixing
37A30 - Ergodic theorems, spectral theory, Markov operators
47A16 - Cyclic vectors, hypercyclic and chaotic operators
47A67 - Representation theory
47D03 - Groups and semigroups of linear operators
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 03/11/15 Date de Captation : 30/09/15 Collection : Exposés de recherche Sous Collection : Research talks Catégorie arXiv : Dynamical Systems ; Functional Analysis Domaine(s) : Analyse & Applications ; Systèmes Dynamiques & EDO Format : MP4 (.mp4) - HD Durée : 00:59:45 Audience : Chercheurs Download : https://videos.cirm-math.fr/2015-09-30_Glasner.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Frontiers of operator dynamics / Frontières de la dynamique linéaireOrganisateurs de la Rencontre : Grivaux, Sophie ; Lemanczyk, Marius ; Tomilov, Yuri Dates : 28/09/15 - 02/10/15 Année de la rencontre : 2015 URL de la Rencontre : http://conferences.cirm-math.fr/1125.html
Données de citation
DOI : 10.24350/CIRM.V.18843403Citer cette vidéo: Glasner, Eli (2015). A universal hypercyclic representation. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18843403 URI : http://dx.doi.org/10.24350/CIRM.V.18843403 |
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
