Institute for Mathematical Sciences

Preprint ims15-03

Matthieu Arfeux
Reading escaping trees from Hubbard trees in Sn

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.

View ims15-03 (PDF format)