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arXiv:1511.01522 [math.DS]AbstractReferencesReviewsResources

The Fine Structure of Herman Rings

Núria Fagella, Christian Henriksen

Published 2015-11-04Version 1

We study the geometric structure of the boundary of Herman rings in a model family of Blaschke products of degree 3. Shishikura's quasiconformal surgery relates the Herman ring to the Siegel disk of a quadratic polynomial. By studying the regularity properties of the maps involved, we can transfer McMullen's results on the fine local geometry of Siegel disks to the Herman ring setting.

Comments: 17 pages, 3 figures
Categories: math.DS
Subjects: 37F10, 30D20
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