Quasiregular dynamics

With Alastair Fletcher, I wrote some code for producing images of Mandelbrot and Julia sets for quasiregular mappings.

The twisting boundary of the Maskit slice

This is an unfinished paper, based on chapter 5 of my thesis.

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Spirals in the boundary of quasifuchsian space

My paper Spirals in the boundary of slices of quasifuchsian space was published by the Journal of Conformal Geometry and Dynamics. The abstract reads:
We prove that the Bers and Maskit slices of the quasifuchsian space of a once punctured torus have a dense, uncountable set of points in their boundaries about which the boundary spirals infinitely.

You can download my version (slightly different to the published version) in PDF format (340k).

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