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Lattès maps and combinatorial expansion

Published online by Cambridge University Press:  11 February 2015

QIAN YIN
QIAN YIN*
Affiliation:
The University of Chicago, 5734 S. University Avenue, Chicago, IL 60637, USA email qyin@math.uchicago.edu
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Abstract

A Lattès map $f:\widehat{\mathbb{C}}\rightarrow \widehat{\mathbb{C}}$ is a rational map that is obtained from a finite quotient of a conformal torus endomorphism. We characterize Lattès maps by their combinatorial expansion behavior.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 36 , Issue 4 , June 2016 , pp. 1307 - 1342
Copyright
© Cambridge University Press, 2015 

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