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Lattès maps and combinatorial expansion

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Publication:2813951
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DOI10.1017/etds.2014.125zbMath1343.37031arXiv1109.2664OpenAlexW3105104690MaRDI QIDQ2813951

Qian Yin

Publication date: 17 June 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2664


zbMATH Keywords

Lattès mapvisual metricexpanding Thurston mapexpanding factors


Mathematics Subject Classification ID

Expanding holomorphic maps; hyperbolicity; structural stability of holomorphic dynamical systems (37F15) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)


Related Items (1)

Thurston maps and asymptotic upper curvature



Cites Work

  • Unnamed Item
  • Entropy-rigidity of locally symmetric spaces of negative curvature
  • Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
  • Quasiconformal maps in metric spaces with controlled geometry
  • A proof of Thurston's topological characterization of rational functions
  • Quasisymmetric parametrizations of two-dimensional metric spheres
  • Parabolic orbifolds and the dimension of the maximal measure for rational maps
  • On the dynamics of rational maps


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