Dimension of the boundary of quasiconformal Siegel disks |
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| Authors: | Jacek Graczyk Peter Jones |
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| Affiliation: | (1) Université de Paris-Sud, Département de Mathématique, 91405 Orsay Cedex, France, FR;(2) Department of Mathematics, Yale, New Haven, CT 06520, USA, US |
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| Abstract: | We study quasiconformal Siegel disks with critical points in their boundaries. The main result asserts that every subarc of the boundary of the Siegel disk has the Hausdorff dimension strictly larger than 1 and that the boundary does not have a tangent at any point. Oblatum 19-V-2000 & 4-X-2001?Published online: 18 January 2002 |
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