Random Backward Iteration Algorithm for Julia sets of Rational Semigroups
Dynamical Systems
2013-12-06 v1 Complex Variables
Geometric Topology
Probability
Abstract
We consider the dynamics of rational semigroups (semigroups of rational maps) on the Riemann sphere. We provide proof that a random backward iteration algorithm to draw the pictures of the Julia sets, previously proven to work in the context of iteration of a rational map of degree two or more, extends to finitely generated rational semigroups (of a certain type). We also provide some consequences of this result.
Keywords
Cite
@article{arxiv.1312.1457,
title = {Random Backward Iteration Algorithm for Julia sets of Rational Semigroups},
author = {Rich Stankewitz and Hiroki Sumi},
journal= {arXiv preprint arXiv:1312.1457},
year = {2013}
}
Comments
15 pages