Rescaling Limits in Non-Archimedean Dynamics

2016/12/03 by Hongming Nie, Nie, Hongming
Mathematics · Computer Science · #advanced mathematical theories #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1612.01024

Abstract

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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