most citedArbitrary large number of non trivial rescaling limits

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math.DS2019

On the cycles of components of disconnected Julia sets

Guizhen Cui, Wenjuan Peng

For any integers and , we construct a hyperbolic rational map of degree such that it has cycles of the connected components of its Julia set except single…

math.DS2016★ 4 cited

Arbitrary large number of non trivial rescaling limits

Matthieu Arfeux, Guizhen Cui

We construct a family of rational map sequences providing an arbitrary large number of dynamically independent rescaling limits of non monomial type. From this, we deduce the exist…