Hostname: page-component-78c5997874-dh8gc Total loading time: 0 Render date: 2024-11-05T02:43:06.156Z Has data issue: false hasContentIssue false

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

Published online by Cambridge University Press:  04 December 2007

Robert L. Benedetto
Affiliation:
Department of Mathematics, University of Rochester, Rochester, NY 14627, U.S.A. E-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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.

Type
Research Article
Copyright
© 2000 Kluwer Academic Publishers