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Biaccessiblility in quadratic Julia sets I: The locally-connected case

Saaed Zakeri
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Abstract

Let $f:z\mapsto z^2+c$ be a quadratic polynomial whose Julia set $J$ is locally-connected of the set of biaccessible points in $J$ is zero except when $f(z)=z^2-2$ is the Chebyshev quadratic polynomial for which the corresponding measure is one.

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Saaed Zakeri. 1998-01-15. Biaccessiblility in quadratic Julia sets I: The locally-connected case. https://arxiv.org/abs/math/9801148

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