Nearly Euclidean Thurston maps
Nearly Euclidean Thurston maps
We take an in-depth look at Thurston’s combinatorial characterization of rational functions for a particular class of maps we call nearly Euclidean Thurston maps. These are orientation-preserving branched maps <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="f colon upper S squared right-arrow upper S squared"> <mml:semantics> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo>:<!-- : --></mml:mo> <mml:msup> <mml:mi>S</mml:mi> …