On the dimension of points which escape to infinity at given rate under exponential iteration
Dynamical Systems
2022-05-11 v2
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.
Keywords
Cite
@article{arxiv.2007.10241,
title = {On the dimension of points which escape to infinity at given rate under exponential iteration},
author = {Krzysztof Barański and Bogusława Karpińska},
journal= {arXiv preprint arXiv:2007.10241},
year = {2022}
}