Rescaling limits in non-Archimedean dynamics
Volume 185 / 2018
Acta Arithmetica 185 (2018), 315-331
MSC: Primary 37P45, 37P50.
DOI: 10.4064/aa170601-22-1
Published online: 7 September 2018
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.
