Dimension of quasicircles

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dc.creatorSmirnov, Stanislav
dc.date2009-04-07
dc.date.accessioned2026-07-07T13:01:38Z
dc.date.available2026-07-07T13:01:38Z
dc.descriptionWe 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 $1+k^2$.
dc.descriptionActa Mathematica, to appear
dc.identifierhttps://arxiv.org/abs/0904.1237
dc.identifierhttp://arxiv.org/abs/0904.1237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226214
dc.subjectComplex Variables
dc.subject30C62; 30C80
dc.titleDimension of quasicircles
dc.typetext

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