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Zbl 0477.58020
Misiurewicz, Michal
Absolutely continuous measures for certain maps of an interval. (English)
[J] Publ. Math., Inst. Hautes Étud. Sci. 53, 17-51 (1981). ISSN 0073-8301; ISSN 1618-1913

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MSC 2000:: *37A99 Ergodic theory
37D45 Strange attractors, chaotic dynamics
28D20 Entropy and other measure-theoretic invariants
54C70 Topological entropy

Keywords: piecewise smooth map of an interval into itself with negative Schwarzian derivative and polynomial behaviour in the neighbourhoods of exceptional points; no periodic attracting points; existence of a probability invariant measure absolutely continuous with respect to the Lebesgue measure; metric entropies; topological entropy

Cited in: Zbl 1181.37049 Zbl 1065.28009 Zbl 0702.58020 Zbl 0691.28006 Zbl 0691.28005 Zbl 0684.28007 Zbl 0653.47014 Zbl 0608.58030 Zbl 0604.60031 Zbl 0539.58019 Zbl 0582.58001 Zbl 0504.54044 Zbl 0487.28015

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