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arXiv · 2007.10241

On the dimension of points which escape to infinity at given rate under exponential iteration

Krzysztof Barański·Bogusława Karpińska
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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.

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Krzysztof Barański, Bogusława Karpińska. 2020-07-20. On the dimension of points which escape to infinity at given rate under exponential iteration. https://doi.org/10.1017/etds.2021.26

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