Forcing theory for transverse trajectories of surface homeomorphisms - Part 3 | Vidéo | Carmin.tv

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Forcing theory for transverse trajectories of surface homeomorphisms - Part 3

Appears in collections : Surfaces in Luminy / Surfaces à Luminy, Exposés de recherche

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.

Information about the video

Date of recording 06/10/2016
Date of publication 11/10/2016
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19067303
Cite this video Tal, Fabio (06/10/2016). Forcing theory for transverse trajectories of surface homeomorphisms - Part 3. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19067303
URL https://dx.doi.org/10.24350/CIRM.V.19067303

Domain(s)

Dynamical Systems

Bibliography

Le Calvez, P., & Tal, F.A. (2015). Forcing theory for transverse trajectories of surface homeomorphisms. <arXiv:1503.09127> - https://arxiv.org/abs/1503.09127

MSC codes

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