Mixing and the local central limit theorem for hyperbolic dynamical systems | Vidéo | Carmin.tv

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Mixing and the local central limit theorem for hyperbolic dynamical systems

De Péter Nándori

Apparaît dans la collection : Probabilistic limit theorems for dynamical systems / Théorèmes limites probabilistes pour les systèmes dynamiques

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.

Informations sur la vidéo

Date de captation 01/11/2018
Date de publication 15/11/2018
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Audience Chercheurs
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19472103
Citer cette vidéo Nándori, Péter (01/11/2018). Mixing and the local central limit theorem for hyperbolic dynamical systems. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19472103
URL https://dx.doi.org/10.24350/CIRM.V.19472103

Domaine(s)

Systèmes dynamiques

Bibliographie

Dolgopyat, D., & Nándori, P. (2017). On mixing and the local central limit theorem for hyperbolic flows. <arXiv:1710.08568> - https://arxiv.org/abs/1710.08568

Codes MSC

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