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math.DS2011★ 6 cited
Constructing rational maps with cluster points using the mating operation
Thomas Sharland
In this article, we show that all admissible rational maps with fixed or period two cluster cycles can be constructed by the mating of polynomials. We also investigate the polynomi…
math.DS2011
Thurston equivalence for rational maps with clusters
Thomas Sharland
We investigate rational maps with period one and two cluster cycles. Given the definition of a cluster, we show that, in the case where the degree is and the cluster is fixed,…