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Audiovisual Mathematics Library

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Multi angle

Authors : Tsuijii, Masato (Author of the conference)
CIRM (Publisher )

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Abstract : We present a functional-analytic approach to the study of transfer operators for Anosov flows. To study transfer operators, a basic idea in semi-classical analysis suggests to look at the action of the flow on the cotangent bundle. Though this idea is simple and intuitive (as we will explain in the lectures), we need some framework to make it work. In the lectures, we present such a framework based on a wave-packet transform.

Keywords : transfer operators; Anosov diffeomorphism

MSC Codes :
37C30 - Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
37D20 - Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)

Additional resources :
https://www.cirm-math.fr/RepOrga/1947/Notes/TSUJII_notecirm.pdf

Information on the Video

Film maker :

Hennenfent, Guillaume

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Download :

https://videos.cirm-math.fr/2019-05-14_Tsuji_Part 2.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.19524203
Cite this video as: Tsuijii, Masato (2019). Transfer operators for Anosov flows - lecture 2. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19524203
URI : http://dx.doi.org/10.24350/CIRM.V.19524203

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