Rational maps with bad reduction and domains of quasiperiodicity

Víctor Nopal-Coello, Mónica Moreno Rocha

Consider a rational map $R$ of degree $d\ge 2$ with coefficients over the non-archimedean field ${\mathbb{C}}_p$, with $p$ a fixed prime number. If $R$ has a cycle of Siegel disks a…