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arXiv:0903.0757 [math.DS]AbstractReferencesReviewsResources

Hausdorff measure of Julia sets in the exponential family

Joern Peter

Published 2009-03-04Version 1

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.

Comments: 29 pages
Categories: math.DS
Subjects: 30D05, 37F10
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