On decomposable rational maps-Reference-Cited by-同舟云学术

On decomposable rational maps

Published:2011-11-22 Issue:14 Volume:15 Page:210-218
ISSN:1088-4173
Container-title:Conformal Geometry and Dynamics of the American Mathematical Society
language:en
Short-container-title:Conform. Geom. Dyn.

Author:

Cabrera Carlos,Makienko Peter

Abstract

If R R is a rational map, the main result is a uniformization theorem for the space of decompositions of the iterates of R R . Secondly, we show that Fatou conjecture holds for decomposable rational maps.

Publisher

American Mathematical Society (AMS)

Subject

Geometry and Topology

Link

http://www.ams.org/ecgd/2011-15-14/S1088-4173-2011-00233-5/S1088-4173-2011-00233-5.pdf

Reference13 articles.

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4. Conformal and harmonic measures on laminations associated with rational maps;Kaimanovich, Vadim A.;Mem. Amer. Math. Soc.,2005

5. Dynamics of rational transformations: topological picture;Lyubich, M. Yu.;Uspekhi Mat. Nauk,1986

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