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math.CV2019
A Complete Realization of the orbits of generalized derivatives of Quasiregular Mappings
Alastair Fletcher, Jacob Pratscher
Quasiregular maps are differentiable almost everywhere maps which are analogous to holomorphic maps in the plane for higher real dimensions. Introduced by Gutlyanskii et al, the in…
math.CV2019
On Locally Quasiconformal Teichmuller Spaces
Alastair Fletcher, Zhou Zemin
We define a universal Teichmüller space for locally quasiconformal mappings whose dilatation grows not faster than a certain rate. Paralleling the classical Teichmüller theory, we…