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A characterization of Sierpinski carpet Rational maps

Authors :
Gao, Yan
Zeng, Jinsong
Zhao, Suo
Publication Year :
2015

Abstract

In this paper, we prove that a postcritically finite rational map with non-empty Fatou set is Thurstion equivalent to an expanding Thurston map if and only if its Julia set is homeomorphic to the standard Sierpinski carpet

Subjects

Subjects :
Mathematics - Dynamical Systems

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1511.09191
Document Type :
Working Paper

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