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math.CV2017★ 1 cited
The theory of quasiregular mappings in metric spaces: progress and challenges
Chang-Yu Guo
We survey the recent developments in the theory of quasireg- ular mappings in metric spaces. In particular, we study the geometric porosity of the branch set of quasiregular mappin…
math.CV2016★ 6 cited
Geometric function theory: the art of pullback factorization
Chang-Yu Guo, Marshall Williams
In this paper, we develop the foundations of the theory of quasiregular mappings in general metric measure spaces. In particular, nine definitions of quasiregularity for a discrete…
math.CV2010
Mappings of finite distortion: Formation of exponential cusp
Changyu Guo
We consider a quasi-convex planar domain Ωwith a rectifiable boundary containing an exponential cusp and show that there is no homeomorphism f: \bR^2\to\bR^2 of finite distortion w…