Submitted by ims_edit on Fri, 01/29/2021 - 13:31
preprint-id:
preprint-title:
Elastic Graphs for Main Molecule Matings
preprint-abstract:
Recent work of Dylan Thurston gives a condition for when a post-critically finite branched self-cover of the sphere is equivalent to a rational map. We apply D. Thurston's positive criterion for rationality to give a new proof of a theorem of Rees, Shishikura, and Tan about the mateability of quadratic polynomials when one polynomial is in the main molecule. These methods may be a step in understanding the mateability of higher degree post-critically finite polynomials and demonstrate how to apply the positive criterion to classical problems.
arXiv:2010.11382 |
preprint-year:
2020