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arXiv · 1312.1457

Random Backward Iteration Algorithm for Julia sets of Rational Semigroups

Rich Stankewitz·Hiroki Sumi
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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.

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Rich Stankewitz, Hiroki Sumi. 2013-12-05. Random Backward Iteration Algorithm for Julia sets of Rational Semigroups. https://arxiv.org/abs/1312.1457

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