Transfer operators for Sinai billiards - lecture 1 | Vidéo | Carmin.tv

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Transfer operators for Sinai billiards - lecture 1

By Viviane Baladi

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

We will discuss an approach to the statistical properties of two-dimensional dispersive billiards (mostly discrete-time) using transfer operators acting on anisotropic Banach spaces of distributions. The focus of this part will be our recent work with Mark Demers on the measure of maximal entropy but we will also survey previous results by Demers, Zhang, Liverani, etc on the SRB measure.

Information about the video

Date of recording 16/05/2019
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.19523703
Cite this video Baladi, Viviane (16/05/2019). Transfer operators for Sinai billiards - lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19523703
URL https://dx.doi.org/10.24350/CIRM.V.19523703

Domain(s)

Bibliography

BALADI, Viviane et DEMERS, Mark. On the Measure of Maximal Entropy for Finite Horizon Sinai Billiard Maps. arXiv preprint arXiv:1807.02330, 2018. - https://arxiv.org/abs/1807.02330
BALADI, Viviane, DEMERS, Mark F., et LIVERANI, Carlangelo. Exponential decay of correlations for finite horizon Sinai billiard flows. Inventiones mathematicae, 2018, vol. 211, no 1, p. 39-177. - https://doi.org/10.1007/s00222-017-0745-1
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BUNIMOVICH, Leonid Abramovich, SINAI, Yakov G., et CHERNOV, Nikolai Ivanovich. Markov partitions for two-dimensional hyperbolic billiards. Russian Mathematical Surveys, 1990, vol. 45, no 3, p. 105. - https://doi.org/10.1070/RM1990v045n03ABEH002355
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MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/1947/Notes/Baladi-notes.pdf

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