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A note on the entropy of factors of random dynamical systems

Published online by Cambridge University Press:  09 February 2005

PEI-DONG LIU
PEI-DONG LIU
Affiliation:
LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, People's Republic of China (e-mail: [email protected])
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Abstract

In this paper we show that two semi-conjugate random dynamical systems (RDSs) on Polish spaces have the same entropy and pressure if the cardinal number of the pre-image of a point under the semi-conjugacy is finite almost everywhere.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 25 , Issue 2 , April 2005 , pp. 593 - 603
Copyright
2005 Cambridge University Press

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