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Regular or stochastic dynamics in families of higher-degree unimodal maps
Published online by Cambridge University Press: 03 April 2013
Abstract
We construct a lamination of the space of unimodal maps with critical points of fixed degree $d\geq 2$ by the hybrid classes. The structure of the lamination yields a partition of the parameter space for one-parameter real analytic families of unimodal maps and allows us to transfer a priori bounds in the phase space to the parameter space. This implies that almost every map in such a family is either regular or stochastic.
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- Copyright ©2013 Cambridge University Press
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