Local dimension of ergodic measures for two-dimensional Lorenz transformations

Authors
Steinberger, T
Citation
T. Steinberger, Local dimension of ergodic measures for two-dimensional Lorenz transformations, ERGOD TH DY, 20, 2000, pp. 911-923
Citations number
13
Categorie Soggetti
Mathematics
Journal title
ERGODIC THEORY AND DYNAMICAL SYSTEMS
ISSN journal
01433857 → ACNP
Volume
20
Year of publication
2000
Part
3
Pages
911 - 923
Database
ISI
SICI code
0143-3857(200006)20:<911:LDOEMF>2.0.ZU;2-Z
Abstract
A class of transformations on [0, 1](2), which includes transformations obt ained by a Poincare section of the Lorenz equation, is considered. We prove a formula which connects local dimension, entropy and characteristic expon ents of ergodic invariant probability measures.