Institute for Mathematical Sciences
Distortion Results and Invariant Cantor Sets of Unimodal Maps.
Abstract: A distortion theory is developed for $S-$unimodal maps. It will be used to get some geometric understanding of invariant Cantor
sets. In particular attracting Cantor sets turn out to have
Lebesgue measure zero. Furthermore the ergodic behavior of
$S-$unimodal maps is classified according to a distortion
property, called the Markov-property.
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