Submitted by math_admin on Sun, 03/01/2020 - 20:43
preprint-id:
preprint-title:
Biaccessiblility in Quadratic Julia Sets I: The Locally-Connected Case
preprint-abstract:
Let $f:z \mapsto z^2+c$ be a quadratic polynomial whose Julia set $J$ is locally-connected. We prove that the Brolin measure 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.
preprint-year:
1998