Mating the Basilica with a Siegel Disk
Dynamical Systems
2014-10-14 v1
Abstract
Consider a quadratic polynomial with a fixed Siegel disc of bounded type. Using an adaptation of complex a priori bounds for critical circle maps, we prove that this Siegel polynomial is conformally mateable with the basilica polynomial.
Cite
@article{arxiv.1410.3175,
title = {Mating the Basilica with a Siegel Disk},
author = {Jonguk Yang},
journal= {arXiv preprint arXiv:1410.3175},
year = {2014}
}
Comments
45 pages, 14 figures