Limit theorems for some time-dependent expanding dynamical systems

Date. November 20, 14h00m (UTC/GMT)

Speaker. Yeor Hafouta (Ohio State University)

Title. Limit theorems for some time-dependent expanding dynamical systems

Abstract.

We will discuss various probabilistic limit theorems for some classes of distance expanding time-dependent dynamical systems. Some of the results like the Berry-Esseen theorem and moderate deviations principle hold true for general sequences of maps when the variance of the underlying partial sums grows faster than n^{2/3}, while other results such the local central limit theorem hold true for certain classes of random not necessarily stationary transformations. The results also include a certain type of stability theorem in a complex version of the sequential Rulle-Perron-Frobenius theorem, which yields that the variance grows linearly fast when the underlying maps are close enough to a single expanding map.

 

Online Zoom meeting (Session will open some minutes before 14h00)
https://videoconf-colibri.zoom.us/j/92095473498?pwd=TjdOcG5NbXg3bFdIUGw1dFNsVnlIUT09

Meeting ID: 920 9547 3498

Password: 479131

Date and Venue

Start Date
Venue
Online seminar

Speaker

Yeor Hafouta

Speaker's Institution

Ohio

Area

Dynamical Systems