# Hausdorff dimension in quasiregular dynamics

@inproceedings{Bergweiler2022HausdorffDI, title={Hausdorff dimension in quasiregular dynamics}, author={Walter Bergweiler and Athanasios Tsantaris}, year={2022} }

. It is shown that the Hausdorﬀ dimension of the fast escaping set of a quasiregular self-map of R 3 can take any value in the interval [1 , 3]. The Hausdorﬀ dimension of the Julia set of such a map is estimated under some growth condition.

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