14 citations · 37 across the 33 of their papers we have counts for
6 papers · 1 filter
Approximations of the Riley slice
Alex Elzenaar, Gaven Martin, Jeroen Schillewaert
Adapting the ideas of L. Keen and C. Series used in their study of the Riley slice of Schottky groups generated by two parabolics, we explicitly identify `half-space' neighbourhood…
Energy-minimal Principles in Geometric Function Theory
Tadeusz Iwaniec, Gaven Martin, Jani Onninen
We survey a number of recent developments in geometric analysis as they pertain to the calculus of variations and extremal problems in geometric function theory following the NZMRI…
The Teichmüller problem for -means of distortion
Gaven J. Martin, Cong Yao
Teichmüller's problem from 1944 is this: Given find and describe the extremal quasiconformal map $f:\ID\to\ID$, $f|\partial \ID=identity$ and . We consi…
Projections in moduli spaces of Kleinian groups
Hala Alaqad, Jianhua Gong, Gaven Martin
A two-generator Kleinian group can be naturally associated with a discrete group with the generator of order and where \begin{equ…
Extremal mappings of finite distortion and the Radon-Riesz property
Gaven Martin, Cong Yao
We consider Sobolev mappings $f\in W^{1,q}(Ω,\IC)$, , between planar domains $Ω\subset \IC$. We analyse the Radon-Riesz property for convex functionals of the form \[f\…
Chebyshev Polynomials and Inequalities for Kleinian Groups
Hala Alaqad, Jianhua Gong, Gaven Martin
The principal character of a representation of the free group of rank two into PSL(2, C) is a triple of complex numbers that determines an irreducible representation uniquely up to…