Dimension of invariant measures for maps with exponent zero
- 1 December 1985
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 5 (4) , 595-610
- https://doi.org/10.1017/s0143385700003187
Abstract
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.Keywords
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