Stretching and rotation sets of quasiconformal mappings

  title={Stretching and rotation sets of quasiconformal mappings},
  author={Tyler Bongers},
  journal={Annales Academiae Scientiarum Fennicae Mathematica},
  • Tyler Bongers
  • Published 12 October 2017
  • Mathematics
  • Annales Academiae Scientiarum Fennicae Mathematica
Quasiconformal maps in the plane are orientation preserving homeomorphisms that satisfy certain distortion inequalities; infinitesimally, they map circles to ellipses of bounded eccentricity. Such maps have many useful geometric distortion properties, and yield a flexible and powerful generalization of conformal mappings. In this work, we study the singularities of these maps, in particular the sizes of the sets where a quasiconformal map can exhibit given stretching and rotation behavior. We… 
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