14 citations · 37 across the 33 of their papers we have counts for
4 papers · 1 filter
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…
Approximating Metal-Insulator Transitions
C. Danieli, K. Rayanov, B. Pavlov +2
We consider quantum wave propagation in one-dimensional quasiperiodic lattices. We propose an iterative construction of quasiperiodic potentials from sequences of potentials with i…