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Audiovisual Mathematics Library

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Multi angle

Authors : Contreras, Gonzalo (Author of the conference)
CIRM (Publisher )

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Abstract : 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.

Keywords : ergodic optimization; Lagrangian systems; Aubry-Mather theory

MSC Codes :
37D35 - Thermodynamic formalism, variational principles, equilibrium states

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

Information on the Video

Film maker :

Hennenfent, Guillaume

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Download :

https://videos.cirm-math.fr/2019-05-22_Contreras_Part1.mp4

Information on the Event

Event Title : Dynamique au-delà de l'hyperbolicité uniforme / Dynamics Beyond Uniform Hyperbolicity
Event Organizers : Bonatti, Christian ; Buzzi, Jérôme ; Crovisier, Sylvain ; Gan, Shaobo ; Pacifico, Maria José
Dates : 13/05/2019 - 24/05/2019
Event Year : 2019
Event URL : https://conferences.cirm-math.fr/1947.html

Citation Data

DOI : 10.24350/CIRM.V.19527203
Cite this video as: Contreras, Gonzalo (2019). Ergodic optimization - lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19527203
URI : http://dx.doi.org/10.24350/CIRM.V.19527203

See Also

[Multi angle] Ergodic optimization - lecture 3 / Author of the conference Contreras, Gonzalo.
[Multi angle] Ergodic optimization - lecture 2 / Author of the conference Contreras, Gonzalo.
[Multi angle] Some new dynamical applications of smooth parametrizations for C∞ systems - lecture 3 / Author of the conference Burguet, David.
[Multi angle] Some new dynamical applications of smooth parametrizations for C∞ systems - lecture 2 / Author of the conference Burguet, David.
[Multi angle] Some new dynamical applications of smooth parametrizations for C∞ systems - lecture 1 / Author of the conference Burguet, David.
[Multi angle] Rigidity in rank one: dynamics and geometry - lecture 3 / Author of the conference Gogolev, Andrey.
[Multi angle] Rigidity in rank one: dynamics and geometry - lecture 2 / Author of the conference Gogolev, Andrey.
[Multi angle] Rigidity in rank one: dynamics and geometry - lecture 1 / Author of the conference Gogolev, Andrey.
[Multi angle] Big mapping class groups - lecture 5 / Author of the conference Calegari, Danny.
[Multi angle] Big mapping class groups - lecture 4 / Author of the conference Calegari, Danny.
[Multi angle] Big mapping class groups - lecture 3 / Author of the conference Calegari, Danny.
[Multi angle] Big mapping class groups - lecture 2 / Author of the conference Calegari, Danny.
[Multi angle] Big mapping class groups - lecture 1 / Author of the conference Calegari, Danny.
[Multi angle] Beyond Bowen specification property - lecture 3 / Author of the conference Thompson, Daniel J..
[Multi angle] Beyond Bowen specification property - lecture 2 / Author of the conference Thompson, Daniel J..
[Multi angle] Beyond Bowen specification property - lecture 1 / Author of the conference Thompson, Daniel J..
[Multi angle] Beyond Bowen specification property - lecture 3 / Author of the conference Climenhaga, Vaughn.
[Multi angle] Beyond Bowen specification property - lecture 2 / Author of the conference Climenhaga, Vaughn.
[Multi angle] Beyond Bowen specification property - lecture 1 / Author of the conference Climenhaga, Vaughn.
[Multi angle] Additive combinatorics methods in fractal geometry - lecture 3 / Author of the conference Varju, Peter.
[Multi angle] Additive combinatorics methods in fractal geometry - lecture 2 / Author of the conference Varju, Peter.
[Multi angle] Additive combinatorics methods in fractal geometry - lecture 1 / Author of the conference Varju, Peter.
[Multi angle] Additive combinatorics methods in fractal geometry - lecture 3 / Author of the conference Shmerkin, Pablo.
[Multi angle] Additive combinatorics methods in fractal geometry - lecture 2 / Author of the conference Shmerkin, Pablo.
[Multi angle] Additive combinatorics methods in fractal geometry - lecture 1 / Author of the conference Shmerkin, Pablo.
[Multi angle] Transfer operators for Anosov flows - lecture 3 / Author of the conference Tsuijii, Masato.
[Multi angle] Transfer operators for Anosov flows - lecture 2 / Author of the conference Tsuijii, Masato.
[Multi angle] Transfer operators for Anosov flows - lecture 1 / Author of the conference Tsuijii, Masato.
[Multi angle] Transfer operators for Sinai billiards - lecture 3 / Author of the conference Baladi, Viviane.
[Multi angle] Transfer operators for Sinai billiards - lecture 2 / Author of the conference Baladi, Viviane.
[Multi angle] Transfer operators for Sinai billiards - lecture 1 / Author of the conference Baladi, Viviane.

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

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