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Arbitrary large number of non trivial rescaling limits

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 existence of a family of rational maps providing a non trivial dynamics on the Berkovich projective line over the field of formal Puiseux series.

preprint2016arXivOpen access
Matthieu ArfeuxGuizhen Cui
math.DS
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Matthieu ArfeuxGuizhen Cui

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