p-Adic Dynamics and Sullivan's No Wandering Domains Theorem

Abstract

In this paper we study dynamics on the Fatou set of a rational function φ ∈ $\overline {\Bbb{Q}}_p(z)$ . Using a notion of ‘components’ of the Fatou set defined by Benedetto, we state and prove an analogue of Sullivan's No Wandering Domains Theorem for p -adic rational functions which have no wild recurrent Julia critical points.

Identifiers

DOI

10.1023/a:1002067315057

Citations and references