• Corpus ID: 248571921

Hausdorff dimension in quasiregular dynamics

  title={Hausdorff dimension in quasiregular dynamics},
  author={Walter Bergweiler and Athanasios Tsantaris},
. 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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