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arxiv: 1612.01024 · v2 · pith:YKFZGIEMnew · submitted 2016-12-03 · 🧮 math.DS

Rescaling Limits in Non-Archimedean Dynamics

classification 🧮 math.DS
keywords non-archimedeananalyticcomplementsdefineddynamicsfamilyfieldfiniteness
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Suppose $\{f_t\}$ is an analytic one-parameter family of rational maps defined over a non-Archimedean field $K$. We prove a finiteness theorem for the set of rescalings for $\{f_t\}$. This complements results of J. Kiwi.

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