Shears for quasisymmetric maps

Šarić, Dragomir

doi:10.1090/proc/15437

Shears for quasisymmetric maps
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by Dragomir Šarić PDF

Proc. Amer. Math. Soc. 149 (2021), 2487-2499 Request permission

Abstract:

We give an elementary proof of a theorem that characterizes quasisymmetric maps of the unit circle in terms of shear coordinates on the Farey tesselation. The proof only uses the normal family argument for quasisymmetric maps and some elementary hyperbolic geometry.

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