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Asymptotic physical measures for nearly Brownian skew products

Published online by Cambridge University Press:  01 April 2000

CHUANSHU JI  and
DONNA MOLINEK
CHUANSHU JI
Affiliation:
Department of Statistics, University of North Carolina at Chapel Hill (e-mail: [email protected])
DONNA MOLINEK
Affiliation:
Department of Mathematics, PO Box 1719, Davidson College, Davidson, NC 28036, USA (e-mail: [email protected])
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Abstract

We study asymptotic physical measures in certain dynamical systems formed by a skew product. The skew product is formed by two ‘nice’ systems via a skewing function which is asymptotically Brownian. In this setting, no analogue of the Sinai–Ruelle–Bowen measure exists.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 20 , Issue 2 , April 2000 , pp. 473 - 481
Copyright
© 2000 Cambridge University Press

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