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Local dimension of ergodic measures for two-dimensional Lorenz transformations

Published online by Cambridge University Press:  01 June 2000

THOMAS STEINBERGER
THOMAS STEINBERGER
Affiliation:
Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria
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Abstract

A class of transformations on $[0,1]^2$, which includes transformations obtained by a Poincaré section of the Lorenz equation, is considered. We prove a formula which connects local dimension, entropy and characteristic exponents of ergodic invariant probability measures.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 3 , June 2000 , pp. 911 - 923
Copyright
2000 Cambridge University Press

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