English
How to shift from frequent hypercyclicity to chaos?
Multi angle
Auteurs : Menet, Quentin (Auteur de la conférence)
CIRM (Editeur )
46A45 - Sequence spaces (including Kothe sequence spaces), See also {46B45}
47A16 - Cyclic vectors, hypercyclic and chaotic operators
47B37 - Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
CIRM (Editeur )
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Résumé :
In linear dynamics, chaos requires the density of some orbits and the density of periodic points while frequent hypercyclicity assumes the existence of orbits visiting frequently each non-empty open set. These two notions that we thought were linked are not in general. However, neither are they completely foreign to each other and in particular when we consider the most studied operators in linear dynamics: weighted shifts.
Mots-Clés : Chaos; frequent hypercyclicity; Fréchet spaces; weighted shifts; operator theory
Codes MSC : Mots-Clés : Chaos; frequent hypercyclicity; Fréchet spaces; weighted shifts; operator theory
46A45 - Sequence spaces (including Kothe sequence spaces), See also {46B45}
47A16 - Cyclic vectors, hypercyclic and chaotic operators
47B37 - Operators on special spaces (weighted shifts, operators on sequence spaces, etc.)
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de Publication : 03/01/2022 Date de Captation : 30/11/2021 Sous Collection : Research talks Catégorie arXiv : Functional Analysis Domaine(s) : Analyse & Applications ; Systèmes Dynamiques & EDO ; Topologie Format : MP4 (.mp4) - HD Durée : 00:55:41 Audience : Chercheurs Download : https://videos.cirm-math.fr/2021-12-02_Menet.mp4 
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Informations sur la Rencontre
Nom de la Rencontre : Frontiers of Operator Theory / Frontières de la théorie des opérateursOrganisateurs de la Rencontre : Badea, Catalin ; Bayart, Frédéric ; Gallardo-Gutiérrez, Eva A. ; Grivaux, Sophie ; Lefèvre, Pascal Dates : 29/11/2021 - 03/12/2021 Année de la rencontre : 2021 URL de la Rencontre : https://conferences.cirm-math.fr/2388.html
Données de citation
DOI : 10.24350/CIRM.V.19855503Citer cette vidéo: Menet, Quentin (2021). How to shift from frequent hypercyclicity to chaos?. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19855503 URI : http://dx.doi.org/10.24350/CIRM.V.19855503 |
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Bibliographie
- CHARPENTIER, Stéphane, GROSSE-ERDMANN, Karl, et MENET, Quentin. Chaos and frequent hypercyclicity for weighted shifts. Ergodic Theory and Dynamical Systems, 2021, vol. 41, no 12, p. 3634-3670. - https://doi.org/10.1017/etds.2020.122
