Beyond Bowen specification property - lecture 3 | Vidéo

Beyond Bowen specification property - lecture 3

Apparaît dans la collection : Dynamique au-delà de l’hyperbolicité uniforme / Dynamics Beyond Uniform Hyperbolicity

Rufus Bowen introduced the specification property for uniformly hyperbolic dynamical systems and used it to establish uniqueness of equilibrium states, including the measure of maximal entropy. After reviewing Bowen's argument, we will present our recent work on extending Bowen's approach to non-uniformly hyperbolic systems. We will describe the general result, which makes precise the notion of "entropy (orpressure) of obstructions to specification" using a decomposition of the space of finite-length orbit segments, and then survey various applications, including factors of beta-shifts, derived-from-Anosov diffeomorphisms, and geodesic flows in non-positive curvature and beyond.

Informations sur la vidéo

Date de captation 17/05/2019
Date de publication 11/06/2019
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Luca Recanzone
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19525303
Citer cette vidéo Climenhaga, Vaughn (17/05/2019). Beyond Bowen specification property - lecture 3. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19525303
URL https://dx.doi.org/10.24350/CIRM.V.19525303

Domaine(s)

Systèmes dynamiques

Bibliographie

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