Title	Rational maps with bad reduction and domains of quasi-periodicity.
Creator	Moreno Rocha, Monica
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-11-16T09:00
Description	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).
Extent	66 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Algebraic geometry; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Centro de Investigacion en Matematicas
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2018-05-16
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0366858
URI	http://hdl.handle.net/2429/65910
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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