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

00:00:00 / 00:00:00

Mixing and the local central limit theorem for hyperbolic dynamical systems

By Péter Nándori

Appears in 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.

Information about the video

Date of recording 01/11/2018
Date of publication 15/11/2018
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19472103
Cite this video 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

Domain(s)

Dynamical Systems

Bibliography

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

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2025

Give feedback