Home > Articles > Published articles > The Fine Structure of Herman Rings |
Date: | 2017 |
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 quasiconformal 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. |
Grants: | Ministerio de Economía y Competitividad MTM2011-26995-C02-02 Ministerio de Economía y Competitividad MTM2014-52209-C2-2-P Ministerio de Economía y Competitividad MDM-2014-0445 |
Rights: | Tots els drets reservats. |
Language: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Published in: | Journal of geometric analysis, Vol. 27, Issue 3 (July 2017) , p. 2381-2399, ISSN 1559-002X |
Postprint 17 p, 2.3 MB |