Mathematics – Complex Variables
Scientific paper
2011-10-31
Mathematics
Complex Variables
35 pages, 8 figures
Scientific paper
Douady and Hubbard introduced the operation of mating of polynomials. This identifies two filled Julia sets and the dynamics on them via external rays. In many cases one obtains a rational map. Here the opposite question is tackled. Namely we ask when a given (postcritically finite) rational map $f$ arises as a mating. A sufficient condition when this is possible is given. If this condition is satisfied, we present a simple explicit algorithm to unmate the rational map. This means we decompose $f$ into polynomials, that when mated yield $f$. Several examples of unmatings are presented.
No associations
LandOfFree
Unmating of rational maps, sufficient criteria and examples does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Unmating of rational maps, sufficient criteria and examples, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Unmating of rational maps, sufficient criteria and examples will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-147708