On the dimension of points which escape to infinity at given rate under exponential iteration
arXiv:2007.10241 · doi:10.1017/etds.2021.26
Abstract
We prove a number of results concerning the Hausdorff and packing dimension of sets of points which escape (at least in average) to infinity at a given rate under non-autonomous iteration of exponential maps. In particular, we generalize the results proved by Sixsmith in 2016 and answer his question on annular itineraries for exponential maps.