Exponential weak Bernoulli mixing for collet-eckmann maps |
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| Authors: | Gerhard Keller |
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| Institution: | (1) Department of Mathematics, University of Erlangen-Nürnberg, Bismarckstrasse 1 1/2, D-8520 Erlangen, Germany |
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| Abstract: | We prove exponential weak Bernoulli mixing for invariant measures of certain piecewise monotone interval maps studied in BK]
and KN]. In particular we prove this for unimodal maps with negative Schwarzian derivative satisfying lim
![$$lim inf_{n \to \infty } \sqrtn]{{\left| {DT^n (Tc)} \right|}} > 1$$](/content/c206nh5090056531/11856_2007_Article_BF02773683_TeX2GIFIE1.gif)
, wherec is the unique critical point ofT. |
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