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On the dimension of points which escape to infinity at given rate under exponential iteration
Published online by Cambridge University Press: 29 March 2021
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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- © The Author(s), 2021. Published by Cambridge University Press