4 citations · 6 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
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…
Stream lines, quasilines and holomorphic motions
Gaven J. Martin
We give a new application of the theory of holomorphic motions to the study the distortion of level lines of harmonic functions and stream lines of ideal planar fluid flow. In vari…
Quasicircles as equipotential lines, homotopy classes and geodesics
Gaven J. Martin
We give an application of our earlier results concerning the quasiconformal extension of a germ of a conformal map to establish that in two dimensions the equipotential level lines…
Distortion and topology
Riku Klén, Gaven J. Martin
For a self mapping of the unit disk in which has finite distortion, we give a separation condition on the components of the set where the…