Abstract
We give parameterizations of homeomorphisms, quasisymmetric maps and symmetric maps of the unit circle in terms of shear coordinates for the Farey tesselation.
Citation
Dragomir Šarić. "Circle homeomorphisms and shears." Geom. Topol. 14 (4) 2405 - 2430, 2010. https://doi.org/10.2140/gt.2010.14.2405
Information
Received: 11 October 2009; Accepted: 6 September 2010; Published: 2010
First available in Project Euclid: 21 December 2017
zbMATH: 1214.30037
MathSciNet: MR2740652
Digital Object Identifier: 10.2140/gt.2010.14.2405
Keywords:
decoration
,
homeomorphisms
,
horocyclic length
,
lambda length
,
quasisymmetric
,
shear
,
Symmetric
,
tesselations
Rights: Copyright © 2010 Mathematical Sciences Publishers