Nearly Euclidean Thurston maps

2012/04/16 by James W. Cannon, William J. Floyd, Cannon, James W. +5 · 1 citation
Mathematics · #37F #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37F

paper · pdf · doi:10.48550/arxiv.1204.3615

arxiv created 2012/04/16 · arxiv updated 2012/04/17

Abstract

We introduce and study a class of Thurston maps from the 2-sphere to itself which we call nearly Euclidean Thurston (NET) maps. These are simple generalizations of Euclidean Thurston maps.

Cited by

• Characterizations of contracting Hurwitz bisets

Related

• On Net Maps: Examples and Nonexistence Results
• Finite and infinite degree Thurston maps with a small postsingular set
• Presentations of NET maps
• Modular groups, Hurwitz classes and dynamic portraits of NET maps
• Constructive geometrization of Thurston maps and decidability of Thurston equivalence