Absolutely continuous measures for certain maps of an interval
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Publication:1160968
DOI10.1007/BF02698686zbMath0477.58020MaRDI QIDQ1160968
Publication date: 1981
Published in: Publications Mathématiques (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=PMIHES_1981__53__17_0
topological entropyexistence of a probability invariant measure absolutely continuous with respect to the Lebesgue measuremetric entropiesno periodic attracting pointspiecewise smooth map of an interval into itself with negative Schwarzian derivative and polynomial behaviour in the neighbourhoods of exceptional points
Entropy and other invariants (28D20) Entropy in general topology (54C70) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Ergodic theory (37A99)
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