# American Institute of Mathematical Sciences

May  2015, 35(5): 2165-2175. doi: 10.3934/dcds.2015.35.2165

## Random backward iteration algorithm for Julia sets of rational semigroups

 1 Department of Mathematical Sciences, Ball State University, Muncie, IN 47306 2 Department of Mathematics, Graduate School of Science, Osaka University, 1-1, Machikaneyama, Toyonaka, Osaka, 560-0043

Received  February 2014 Revised  October 2014 Published  December 2014

We provide proof that a random backward iteration algorithm for approximating Julia sets of rational semigroups, previously proven to work in the context of iteration of a rational function of degree two or more, extends to rational semigroups (of a certain type). We also provide some consequences of this result.
Citation: Rich Stankewitz, Hiroki Sumi. Random backward iteration algorithm for Julia sets of rational semigroups. Discrete & Continuous Dynamical Systems - A, 2015, 35 (5) : 2165-2175. doi: 10.3934/dcds.2015.35.2165
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