English
Mixing and the local central limit theorem for hyperbolic dynamical systems
Multi angle
Auteurs : Nándori, Péter (Auteur de la Conférence)
CIRM (Editeur )
37A50 - Relations with probability theory and stochastic processes
37D20 - Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
37D50 - Hyperbolic systems with singularities (billiards, etc.)
60F05 - Central limit and other weak theorems
CIRM (Editeur )
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Résumé :
We present a convenient joint generalization of mixing and the local version of the central limit theorem (MLLT) for probability preserving dynamical systems. We verify that MLLT holds for several examples of hyperbolic systems by reviewing old results for maps and presenting new results for flows. Then we discuss applications such as proving various mixing properties of infinite measure preserving systems. Based on joint work with Dmitry Dolgopyat.
Keywords : mixing; local limit theorem; hyperbolic systems; dynamical systems; global mixing; Krickeberg-Hopf mixing
Codes MSC : Keywords : mixing; local limit theorem; hyperbolic systems; dynamical systems; global mixing; Krickeberg-Hopf mixing
37A50 - Relations with probability theory and stochastic processes
37D20 - Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
37D50 - Hyperbolic systems with singularities (billiards, etc.)
60F05 - Central limit and other weak theorems
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 15/11/2018 Date de captation : 01/11/2018 Sous collection : Research talks arXiv category : Dynamical Systems Domaine : Dynamical Systems & ODE ; Probability & Statistics Format : MP4 (.mp4) - HD Durée : 00:56:15 Audience : Researchers Download : https://videos.cirm-math.fr/2018-11-01_Nandori.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Probabilistic limit theorems for dynamical systems / Théorèmes limites probabilistes pour les systèmes dynamiquesOrganisateurs de la rencontre : Melbourne, Ian ; Pène, Françoise ; Volny, Dalibor Dates : 29/10/2018 - 02/11/2018 Année de la rencontre : 2018 URL Congrès : https://conferences.cirm-math.fr/1997.html
Données de citation
DOI : 10.24350/CIRM.V.19472103Citer cette vidéo: Nándori, Péter (2018). Mixing and the local central limit theorem for hyperbolic dynamical systems. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19472103 URI : http://dx.doi.org/10.24350/CIRM.V.19472103 |
Voir aussi
- [Multi angle] Levy diffusion of dispersing billiards with flat points / Auteur de la Conférence Zhang, Hong-Kun.
- [Multi angle] Diffusion limit for a slow-fast standard map / Auteur de la Conférence De Simoi, Jacopo.
- [Multi angle] Limit theorems for almost Anosov flows / Auteur de la Conférence Terhesiu, Dalia.
- [ Post-edited] Growth of normalizing sequences in limit theorems / Auteur de la Conférence Gouëzel, Sébastien.
Bibliographie
- Dolgopyat, D., & Nándori, P. (2017). On mixing and the local central limit theorem for hyperbolic flows.
