Preprint

Unwinding spirals

A. Fish, L. Paunescu


Abstract

We show that there is no bi-Lipschitz homeomorphism of the plane that maps a spiral with a sub-exponential decay of winding radii to an unwinded arc. This result is sharp as shows an example of a logarithmic spiral.

This paper is available as a pdf (548kB) file.

Tuesday, March 1, 2016