English

On biaccessible points in the Julia set of a Cremer quadratic polynomial

Dynamical Systems 2007-12-18 v1

Abstract

We prove that the only possible biaccessible points in the Julia set of a Cremer quadratic polynomial are the Cremer fixed point and its preimages. This gives a partial answer to a question posed by C. McMullen on whether such a Julia set can contain any biaccessible point at all

Keywords

Cite

@article{arxiv.math/9801149,
  title  = {On biaccessible points in the Julia set of a Cremer quadratic polynomial},
  author = {Dierk Schleicher and Saeed Zakeri},
  journal= {arXiv preprint arXiv:math/9801149},
  year   = {2007}
}