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Some properties of absolutely continuous invariant measures on an interval

Published online by Cambridge University Press:  19 September 2008

François Ledrappier
François Ledrappier*
Affiliation:
Laboratoire de calcul des probabilités, Université Paris, France
*
†Dr F. Ledrappier, Laboratoire de calcul des probabilités, Université Paris VI Tour 56, 4 Place Jussieu, 75230 Paris cedex 05, France.
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Abstract

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We are interested in ergodic properties of absolutely continuous invariant measures of positive entropy for a map of an interval. We prove a Bernoulli property and a characterization by some variational principle.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 1 , Issue 1 , March 1981 , pp. 77 - 93
Copyright
Copyright © Cambridge University Press 1981

References

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