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How to shift from frequent hypercyclicity to chaos?
Multi angle
Authors : Menet, Quentin (Author of the conference)
CIRM (Publisher )
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 (Publisher )
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Abstract :
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.
Keywords : Chaos; frequent hypercyclicity; Fréchet spaces; weighted shifts; operator theory
MSC Codes : Keywords : 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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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 03/01/2022 Conference Date : 30/11/2021 Subseries : Research talks arXiv category : Functional Analysis Mathematical Area(s) : Analysis and its Applications ; Dynamical Systems & ODE ; Topology Format : MP4 (.mp4) - HD Video Time : 00:55:41 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-12-02_Menet.mp4 
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Information on the Event
Event Title : Frontiers of Operator Theory / Frontières de la théorie des opérateursEvent Organizers : Badea, Catalin ; Bayart, Frédéric ; Gallardo-Gutiérrez, Eva A. ; Grivaux, Sophie ; Lefèvre, Pascal Dates : 29/11/2021 - 03/12/2021 Event Year : 2021 Event URL : https://conferences.cirm-math.fr/2388.html
Citation Data
DOI : 10.24350/CIRM.V.19855503Cite this video as: 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 |
See Also
- [Multi angle] Clark measures for rational inner functions / Author of the conference Sola, Alan.
- [Multi angle] Idempotent Fourier multipliers acting contractively on Hardy space / Author of the conference Seip, Kristian.
- [Multi angle] Turbulent cascades for a family of damped Szegö equations / Author of the conference Grellier, Sandrine.
- [Multi angle] On a duality between Banach spaces and operators / Author of the conference de la Salle, Mikael.
Bibliography
- 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
