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• W1784608745 abstract "This paper deals with strange attractors of S-unimodal maps $f$. It generalizes earlier results in the sense that very general topological conditions are given that either [i)] guarantee the existence of an absorbing Cantor set provided the critical point of $f$ is sufficiently degenerate, or [ii)] prohibit the existence of an absorbing Cantor set altogether. As a by-product we obtain very weak topological conditions that imply the existence of an absolutely continuous invariant probability measure for $f$." @default.
• W1784608745 created "2016-06-24" @default.
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• W1784608745 date "1998-01-01" @default.
• W1784608745 modified "2023-10-03" @default.
• W1784608745 title "Topological conditions for the existence of absorbing Cantor sets" @default.
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• W1784608745 doi "https://doi.org/10.1090/s0002-9947-98-02109-6" @default.
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