English
On some operator-theoretic aspects of ergodic theory
Multi angle
Auteurs : Haase, Markus (Auteur de la Conférence)
CIRM (Editeur )
22CXX - Compact groups
37A30 - Ergodic theorems, spectral theory, Markov operators
37A35 - Entropy and other invariants, isomorphism, classification
37A55 - Relations with the theory of C*-algebras
37B05 - Transformations and group actions with special properties (minimality, distality, proximality, etc.)
47A35 - Ergodic theory of linear operators
47Nxx - Miscellaneous applications of operator theory
CIRM (Editeur )
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Résumé :
I will describe the main features and methods of a strictly operator-theoretic/functional-analytic perspective on structural ergodic theory in the spirit and in continuation of a recent book project (with T.Eisner, B.Farkas and R.Nagel). The approach is illustrated by a review of some classical results by Abramov on systems with quasi-discrete spectrum and by Veech on compact group extensions (joint work with N.Moriakov).
Codes MSC : 22CXX - Compact groups
37A30 - Ergodic theorems, spectral theory, Markov operators
37A35 - Entropy and other invariants, isomorphism, classification
37A55 - Relations with the theory of C*-algebras
37B05 - Transformations and group actions with special properties (minimality, distality, proximality, etc.)
47A35 - Ergodic theory of linear operators
47Nxx - Miscellaneous applications of operator theory
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 03/11/15 Date de captation : 30/09/15 Sous collection : Research talks arXiv category : Dynamical Systems Domaine : Dynamical Systems & ODE Format : MP4 (.mp4) - HD Durée : 00:53:17 Audience : Researchers Download : https://videos.cirm-math.fr/2015-09-30_Haase.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 Congrès : http://conferences.cirm-math.fr/1125.html
Données de citation
DOI : 10.24350/CIRM.V.18844103Citer cette vidéo: Haase, Markus (2015). On some operator-theoretic aspects of ergodic theory. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18844103 URI : http://dx.doi.org/10.24350/CIRM.V.18844103 |
Bibliographie
- Eisner, T., Farkas, B., Haase, M., & Nagel, R. (2015). Operator theoretic aspects of ergodic theory. Berlin: Springer. (Graduate Texts in Mathematics, 272) - https://www.springer.com/fr/book/9783319168975
- Haase, M., & Moriakov, N. (2015). On systems with quasi-discrete spectrum.
