Ergodic optimization - lecture 1 | Vidéo | Carmin.tv

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Ergodic optimization - lecture 1

By Gonzalo Contreras

Appears in collection : Dynamique au-delà de l’hyperbolicité uniforme / Dynamics Beyond Uniform Hyperbolicity

We will show the proof that for generic Lipschitz functions on an expanding map there is a unique maximizing measure, and it is supported on a periodic orbit.

Information about the video

Date of recording 22/05/2019
Date of publication 11/06/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19527203
Cite this video Contreras, Gonzalo (22/05/2019). Ergodic optimization - lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19527203
URL https://dx.doi.org/10.24350/CIRM.V.19527203

Domain(s)

Dynamical Systems

Bibliography

CONTRERAS, Gonzalo. Ground states are generically a periodic orbit. Inventiones mathematicae, 2016, vol. 205, no 2, p. 383-412. - https://doi.org/10.1007/s00222-015-0638-0

MSC codes

37D35 Thermodynamic formalism, variational principles, equilibrium states

Document(s)

https://www.cirm-math.fr/RepOrga/2264/Slides/Contreras-1-slides.pdf

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