English

Sierpi\'{n}ski curve Julia sets for quadratic rational maps

Dynamical Systems 2013-05-31 v2

Abstract

We investigate under which dynamical conditions the Julia set of a quadratic rational map is a Sierpi\'{n}ski curve

Keywords

Cite

@article{arxiv.1109.0368,
  title  = {Sierpi\'{n}ski curve Julia sets for quadratic rational maps},
  author = {R. L. Devaney and N. Fagella and A. Garijo and X. Jarque},
  journal= {arXiv preprint arXiv:1109.0368},
  year   = {2013}
}

Comments

19 pages, 10 Figures, Substancial modification of previous version, Accepted for publication in Ann. Acad. Sci. Fenn. Math