## Seminar 11.19.20 Hafuta

Title: Limit theorems for time dependent expanding dynamical systems

Speaker: Yeor Hafuta – Ohio State University

Abstract: 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 as 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.

Pdf of slides available here