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Forcing theory for transverse trajectories of surface homeomorphisms - Part 3
Multi angle
Authors : Tal, Fabio (Author of the conference)
CIRM (Publisher )
37B40 - Topological entropy
37E30 - Homeomorphisms and diffeomorphisms of planes and surfaces
37E45 - Rotation numbers and vectors
CIRM (Publisher )
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Abstract :
Several recent papers on surface dynamics have used transverse foliations and maximal isotopies for homeomorphisms isotopic to the identity as a main tool in their work. In this mini-course we will introduce the basic concepts behind this tool and show a new way o deriving useful dynamical information by means of a forcing procedure. The applications involve ways of obtaining existence of non-contractible periodic points with consequences for rotation sets of toral homeomorphisms, exponential growth of periodic orbits and estimates on topological entropy of maps.
MSC Codes : 37B40 - Topological entropy
37E30 - Homeomorphisms and diffeomorphisms of planes and surfaces
37E45 - Rotation numbers and vectors
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 11/10/16 Conference Date : 06/10/16 Subseries : Research talks arXiv category : Dynamical Systems Mathematical Area(s) : Dynamical Systems & ODE Format : MP4 (.mp4) - HD Video Time : 00:54:00 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2016-10-06_Tal_part3.mp4 
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Information on the Event
Event Title : Surfaces in Luminy / Surfaces à LuminyEvent Organizers : Béguin, François ; Crovisier, Sylvain ; Koropecki, Andres ; Leroux, Frédéric ; Liousse, Isabelle ; Militon, Emmanuel Dates : 03/10/16 - 07/10/16 Event Year : 2016 Event URL : http://conferences.cirm-math.fr/1471.html
Citation Data
DOI : 10.24350/CIRM.V.19067303Cite this video as: Tal, Fabio (2016). Forcing theory for transverse trajectories of surface homeomorphisms - Part 3. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19067303 URI : http://dx.doi.org/10.24350/CIRM.V.19067303 |
See Also
- [Multi angle] Orderability and groups of homeomorphisms of the circle / Author of the conference Mann, Kathryn.
- [Multi angle] Forcing theory for transverse trajectories of surface homeomorphisms - Part 4 / Author of the conference Tal, Fabio.
- [Multi angle] Forcing theory for transverse trajectories of surface homeomorphisms - Part 2 / Author of the conference Le Calvez, Patrice.
- [Multi angle] Forcing theory for transverse trajectories of surface homeomorphisms - Part 1 / Author of the conference Le Calvez, Patrice.
Bibliography
- Le Calvez, P., & Tal, F.A. (2015). Forcing theory for transverse trajectories of surface homeomorphisms.
