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- W2021185265 abstract "Abstract Let τ be a mapping from an interval I into itself. For a large class of such maps there exist ergodic measures invariant under τ which are absolutely continuous (with respect to Lebesgue measure) and others which are continuous, but not absolutely continuous. The aim of this paper is to deal with the question: which of these ergodic measures best describes the ‘real’ dynamics of τ. To do this we shall model the dynamics of τ by a Markov chain, which reflects the perturbations inherent in experimental work or the truncation error in computations. When τ is expanding, it is the absolutely continuous invariant measure that acts as a global attractor. This explains the observed effect that the absolutely continuous invariant measure is the one that appears in experimental and numerical work." @default.
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- W2021185265 date "1984-05-01" @default.
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- W2021185265 title "On the significance of absolutely continuous invariant measures" @default.
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- W2021185265 doi "https://doi.org/10.1016/0167-2789(84)90439-1" @default.
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