Absolutely continuous invariant measures forC
2 unimodal maps satisfying the Collet-Eckmann conditions |
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| Authors: | T Nowicki S van Strien |
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| Institution: | (1) Institute of mathematics, University of Warsaw, PL-00-901 Warsaw;(2) Department of Mathematics, TU Delft, Julianalaan 132, Postbus 356, NL-2600 AJ Delft, The Netherlands |
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| Abstract: | Summary In this paper we show that unimodal mappingsf 0, 1] 0, 1] have absolutely continuous measures of positive entropy if these maps areC
2 and satisfy the so-called Collet-Eckmann conditions. No conditions on the Schwarzian derivative off are assumed. |
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