On Minkowski dimension of quasicirclesReport as inadecuate

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1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans 2 LPMC - Laboratoire de physique de la matière condensée

Abstract : In this paper, we give a positive answer for Mc Mullen-s open question which addresses a problem of the Hausdorff dimension of quasicircles. We also give a negative answer for this question by constructing a counterexample which is reminiscent of Kahane-s construction of a non-Smirnov domain.

Keywords : Minkowski dimension Hausdorff dimension dyadic martingale Mc Mullen-s open question Bloch function Kahane-s measure

Author: Thanh Hoang Nhat Le - Michel Zinsmeister -

Source: https://hal.archives-ouvertes.fr/


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