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http://hdl.handle.net/2445/164105| Title: | The fine structure of Herman rings |
| Author: | Fagella Rabionet, Núria Henriksen, Christian |
| Keywords: | Sistemes dinàmics complexos Funcions enteres Funcions meromorfes Complex dynamical systems Entire functions Meromorphic functions |
| Issue Date: | 25-May-2017 |
| Publisher: | Springer Verlag |
| Abstract: | We study the geometric structure of the boundary of Herman rings in a model family of Blaschke products of degree 3 (up to quasiconformal deformation). Shishikura's quasi-conformal surgery relates the Herman ring to the Siegel disk of a quadratic polynomial. By studying the regularity properties of the maps involved, we transfer McMullen's results on the fine local geometry of Siegel disks to the Herman ring setting. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.1007/s12220-017-9764-9 |
| It is part of: | Journal of Geometric Analysis, 2017, vol. 27, num. 3, p. 2381-2399 |
| URI: | http://hdl.handle.net/2445/164105 |
| Related resource: | https://doi.org/10.1007/s12220-017-9764-9 |
| ISSN: | 1050-6926 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 672805.pdf | 2.28 MB | Adobe PDF | View/Open |
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