The Fine Structure of Herman Rings
Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtiques i Informàtica)
Henriksen, Christian (Technical University of Denmark. Department of Applied Mathematics and Computer Science)

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

DOI: 10.1007/s12220-017-9764-9

Postprint 17 p, 2.3 MB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles