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math.CV2023
On the Conformal Energy of Quasisymmetric and Quasimöbius Mappings
Mihai Florincescu, Gaven Martin
This article identifies the conformal energy (or mean distortion) of extremal mappings of finite distortion with a given quasisymmetric mapping of the circle as boundary data. The…
math.CV2023
The Generic Failure of Lower-semicontinuity for the Linear Distortion Functional
Sayed Mohsen Hashemi, Gaven J. Martin
We consider the convexity properties of distortion functionals, particularly the linear distortion, defined for homeomorphisms of domains in Euclidean -spaces, . The in…