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

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

1998-01-15

arxiv.org/abs/math/9801148v1

Mathematics

Dynamical Systems

Scientific paper

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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