Limit theorems for some time-dependent expanding dynamical systems

• Published in: Nonlinearity Vol. 33; no. 12; pp. 6421 - 6460
• Main Author: Hafouta, Yeor
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.12.2020
• Subjects: limit theorems; time-dependent dynamical systems; transfer operator methods

In this paper we will prove various probabilistic limit theorems for some classes of distance expanding sequential dynamical systems (SDS). Our starting point here is certain sequential complex Ruelle-Perron-Frobenius (RPF) theorems which were (essentially) proved by Hafouta and Kifer (2018 Nonconve...