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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/164105
The fine structure of Herman rings
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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.
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FAGELLA RABIONET, Núria and HENRIKSEN, Christian. The fine structure of Herman rings. Journal of Geometric Analysis. 2017. Vol. 27, num. 3, pags. 2381-2399. ISSN 1050-6926. [consulted: 15 of June of 2026]. Available at: https://hdl.handle.net/2445/164105