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Invariant measures of minimal post-critical sets of logistic maps - MaRDI portal

Invariant measures of minimal post-critical sets of logistic maps (Q980499)

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Invariant measures of minimal post-critical sets of logistic maps
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    Invariant measures of minimal post-critical sets of logistic maps (English)
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    29 June 2010
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    The authors prove that every metrizable Choquet simplex whose set of extreme points is compact and totally disconnected can be realized as the set of invariant probability measures of a minimal Cantor system corresponding to the restriction of a logistic map to the \(\omega\)-set of its critical point.
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