English

Reading escaping trees from Hubbard trees in Sn

Dynamical Systems 2015-03-11 v1

Abstract

We prove that the parameter space of monic centered cubic polynomials with a critical point of exact period n=4 is connected. The techniques developed for this proof work for every n and provide an interesting relation between escaping trees of DeMarco-McMullen and Hubbard trees.

Cite

@article{arxiv.1503.02710,
  title  = {Reading escaping trees from Hubbard trees in Sn},
  author = {Matthieu Arfeux},
  journal= {arXiv preprint arXiv:1503.02710},
  year   = {2015}
}

Comments

21 pages

R2 v1 2026-06-22T08:48:11.669Z