Arbitrary large number of non trivial rescaling limits

Matthieu Arfeux; Guizhen Cui

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arXiv · 1606.09574

Arbitrary large number of non trivial rescaling limits

Matthieu Arfeux·Guizhen Cui

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Abstract

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.

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Matthieu Arfeux, Guizhen Cui. 2016-06-30. Arbitrary large number of non trivial rescaling limits. https://arxiv.org/abs/1606.09574

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