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Dimension of quasicircles

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Submitted to Acta Mathematica. 2009
Abstract We introduce canonical antisymmetric quasiconformal maps, which minimize the quasiconformality constant among maps sending the unit circle to a given quasicircle. As an application we prove Astala's conjecture that the Hausdorff dimension of a $k$-quasicircle is at most $1+k^2$.
Stable URL http://archive-ouverte.unige.ch/unige:11888
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Deposited on : 2010-09-24

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