Hausdorff measure of Julia sets in the exponential family

Details Hausdorff measure of Julia sets in the exponential family Hausdorff measure of Julia sets in the exponential family

2009-03-04

arxiv.org/abs/0903.0757v1

Mathematics

Dynamical Systems

29 pages

Scientific paper

We consider the Hausdorff measure of Julia sets and escaping sets of
exponential maps with respect to certain gauge functions. We give conditions on
the growth of the gauge function which imply that the measure is zero or
infinity, respectively.

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