En poursuivant votre navigation sur ce site, vous acceptez l'utilisation d'un simple cookie d'identification. Aucune autre exploitation n'est faite de ce cookie. OK

- Français
Manage my selections

s
z
Destination de la recherche
- Current selection
- All tables
- Documents
- In all fields
Raccourcis
- Advanced search

Audiovisual Mathematics Library

Audiovisual Mathematics Library

Bookmarks Report an error

Multi angle

Authors : Burguet, David (Author of the conference)
CIRM (Publisher )

Loading the player...

Abstract : Smooth parametrizations of semi-algebraic sets were introduced by Yomdin in order to bound the local volume growth in his proof of Shub's entropy conjecture for C∞ maps. In this minicourse we will present some refinement of Yomdin's theory which allows us to also control the distortion. We will give two new applications: - for any C∞ surface diffeomorphism f with positive entropy the saddle periodic points with Lyapunov exponents $\delta$-away from zero for $\delta \in]0,htop(f)[$ are equidistributed along measures of maximal entropy. - for C∞ maps the entropy is physically greater than or equal to the top Lyapunov exponents of the exterior powers.

Keywords : entropy; smooth parametrizations

MSC Codes :
37C05 - Smooth mappings and diffeomorphisms
37C40 - Smooth ergodic theory, invariant measures
37D25 - Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)

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

Information on the Video

Film maker :

Hennenfent, Guillaume

Language :

Available date :

Conference Date :

Subseries :

arXiv category :

Mathematical Area(s) :

Format :

Video Time :

Targeted Audience :

Download :

https://videos.cirm-math.fr/2019-05-20_Burguet_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.19526803
Cite this video as: Burguet, David (2019). Some new dynamical applications of smooth parametrizations for C∞ systems - lecture 1. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19526803
URI : http://dx.doi.org/10.24350/CIRM.V.19526803

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] Ergodic optimization - lecture 1 / 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] 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

Bookmarks Report an error

© Powered by Kentika

2024