Wednesday, January 15, 2014

Shishikura's Lemma 3

In keeping with Sam's demand for more nerdy code, I've decided to provide a chunk of my thesis for the perusal of randoms from the internet. This link leads to a short paper I've written detailing the proof of a result I need for my result. The result itself is Lemma 3 found in the perturbation section of a paper called 'On the Quasiconformal Surgery of Rational Functions' by Mitsuhiro Shishikura.

The cones in the sketch correspond to the striped regions in this picture. The green circles are level curves in Siegel disk. Exactly which functions can give rise to such a disk is the topic of my research.

1 comment:

  1. It makes for a very pretty picture, Joe. Beyond that - I'm stumped.