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Scientific article
Open access
English

Dimension of quasicircles

ContributorsSmirnov, Stanislav
Published inActa mathematica, vol. 205, no. 1, p. 189-197
Collection
  • Open Access - Licence nationale Springer
Publication date2010
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+k2.

Classification
  • arxiv : math.CV
Citation (ISO format)
SMIRNOV, Stanislav. Dimension of quasicircles. In: Acta mathematica, 2010, vol. 205, n° 1, p. 189–197. doi: 10.1007/s11511-010-0053-8
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Identifiers
ISSN of the journal0001-5962
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Creation09/24/2010 10:56:00 AM
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