Piecewise monotone maps without periodic points: Rigidity, measures and complexity.
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Piecewise monotone maps without periodic points : Rigidity , measures and complexity
We consider piecewise monotone maps of the interval with zero entropy or no periodic points. First, we give a rigid model for these maps: the interval translations mappings, possibly with ips. It follows, e.g., that the complexity of a piecewise monotone map of the interval is at most polynomial if and only if this map has a nite number of periodic points up to monotone equivalence. Second, we ...
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تاریخ انتشار 2001