Growth of normalizing sequences in limit theorems | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Chapters

Growth of normalizing sequences in limit theorems

By Sébastien Gouëzel

Appears in collections : Probabilistic limit theorems for dynamical systems / Théorèmes limites probabilistes pour les systèmes dynamiques, Exposés de recherche

Assume that a renormalized Birkhoff sum $S_n f/B_n$ converges in distribution to a nontrivial limit. What can one say about the sequence $B_n$? Most natural statements in the literature involve sequences $B_n$ of the form $B_n = n^\alpha L(n)$, where $L$ is slowly varying. We will discuss the possible growth rate of $B_n$ both in the probability preserving case and the conservative case. In particular, we will describe examples where $B_n$ grows superpolynomially, or where $B_{n+1}/B_n$ does not tend to $1$.

Information about the video

Date of recording 31/10/2018
Date of publication 15/11/2018
Institution CIRM
Licence CC BY NC ND
Language English
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19471103
Cite this video Gouëzel, Sébastien (31/10/2018). Growth of normalizing sequences in limit theorems. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19471103
URL https://dx.doi.org/10.24350/CIRM.V.19471103

Domain(s)

Dynamical Systems

Bibliography

Gouëzel, S. (2018). Growth of normalizing sequences in limit theorems for conservative maps. <arXiv:1803.11472> - https://arxiv.org/abs/1803.11472

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