English

Hausdorff limits of external rays: the topological picture

Dynamical Systems 2024-12-24 v2

Abstract

We study Hausdorff limits of the external rays of a given periodic angle along a convergent sequence of polynomials of degree d2d \geq 2 with connected Julia sets.

Keywords

Cite

@article{arxiv.2309.01027,
  title  = {Hausdorff limits of external rays: the topological picture},
  author = {Carsten Lunde Petersen and Saeed Zakeri},
  journal= {arXiv preprint arXiv:2309.01027},
  year   = {2024}
}

Comments

mildly expanded, new appendix and updated references