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Dimension of invariant measures for maps with exponent zero

Published online by Cambridge University Press:  19 September 2008

F. Ledrappier  and
M. Misiurewicz
F. Ledrappier
Affiliation:
Laboratoire de Probabilités, Université Paris VI, T56; 6, Place Jussieu, 75230 Paris Cedex 05, France
M. Misiurewicz
Affiliation:
Instytut Matematyki, Universytet Warszawski, PKiN IXp, 00.901 Warszawa, Poland
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Abstract

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We give examples of maps of the interval with zero entropy for which the continuous invariant measure has no dimension, and we prove a dimension property for maps lying in the stable manifold of Feigenbaum's fixed points.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 5 , Issue 4 , December 1985 , pp. 595 - 610
Copyright
Copyright © Cambridge University Press 1985

References

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