Thurston maps and asymptotic upper curvature

DOI10.1007/s10711-014-9967-1zbMath1334.37042arXiv1109.2980OpenAlexW2049172445MaRDI QIDQ2349874

Qian Yin

Publication date: 18 June 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.2980

zbMATH Keywords

Gromov hyperbolic spacevisual metricasymptotic upper curvatureextending Thurston mapLattes maps

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Low-dimensional topology of special (e.g., branched) coverings (57M12) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (1)

Prime orbit theorems for expanding Thurston maps: Dirichlet series and orbifolds

Cites Work

• Realising end invariants by limits of minimally parabolic, geometrically finite groups
• Elements of asymptotic geometry
• Entropy-rigidity of locally symmetric spaces of negative curvature
• Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
• A proof of Thurston's topological characterization of rational functions
• Non-realizability and ending laminations: proof of the density conjecture
• Asymptotic upper curvature bounds in coarse geometry
• Lattès maps and combinatorial expansion
• On the dynamics of rational maps
• Cohomologie ℓp espaces de Besov
• Expanding Thurston Maps
• Kleinian Groups and Holomorphic Dynamics
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