Circle homeomorphisms and shears

Abstract

We give parameterizations of homeomorphisms, quasisymmetric maps and symmetric maps of the unit circle in terms of shear coordinates for the Farey tesselation.

26 pages, 3 figures

References in corpus (2)

• Asymptotically Affine and Asymptotically Conformal Circle Endomorphisms
• Random ideal triangulations and the Weil-Petersson distance between finite degree covers of punctured Riemann surfaces

Cited by in corpus (2)

• Zygmund vector fields, Hilbert transform and Fourier coefficients in shear coordinates
• Characterization of the asymptotic Teichmuller space of the open unit disk through shears