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Rational maps with bad reduction and domains of quasi-periodicity. Moreno Rocha, Monica


Consider a rational map $R$ of degree $ d>1$ with coefficients over a non-archimedean field $\mathbb C_p$, with $p\geq 2$ a fixed prime number. If $R$ has a cycle of Siegel disks and has good reduction, then it was shown by Rivera-Letelier (2000) that a new rational map $Q$ can be constructed from $R$, in such a way that $Q$ will exhibit a cycle of $m$-Herman rings. In this talk, we address the case of rational maps with bad reduction and provide an extension of Rivera-Letelier's result for this case. This is a joint work with Victor Nopal-Coello (CIMAT).

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