Dynamical Systems seminar - On the dimension of escaping sets for non-autonomous iteration of exponentials

Speaker: Bogusława Karpińska, (Warsaw University of Technology)

Abstract: In this talk we present general estimates for the Hausdorff and packing dimension of sets of points which escape to infinity at a given rate under non-autonomous iteration of exponentials. In particular we discuss some conditions which guarantee that the Hausdorff and packing dimensions achieve given values in the interval [1,2]. The talk is based on a joint work with Krzysztof Barański.