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The real Fatou conjecture (AM-144)

In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it...

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Detalles Bibliográficos
Autores principales: Graczyk, Jacek, Swiatek, Grzegorz
Lenguaje:eng
Publicado: Princeton University Press 2014
Materias:
Acceso en línea:http://cds.cern.ch/record/1953265