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Meromorphic multifunctions and stability of Julia sets

Published online by Cambridge University Press:  14 October 2010

Shengjian Wu
Shengjian Wu
Affiliation:
Department of Mathematics, Peking University, Beijing 100871, Peoples Republic of China
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Abstract

Let Rw(z): W × C∞ → C∞ be an analytic family of rational functions, J(w) the Julia set of Rw and J*(w) the upper semicontinuous regularization of J(w). We shall discuss the relationship between J(w) and J*(w) as well as some related problems.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 6 , December 1995 , pp. 1231 - 1238
Copyright
Copyright © Cambridge University Press 1995

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