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Generating partitions for random transformations

Published online by Cambridge University Press:  06 November 2002

YURI KIFER  and
BENJAMIN WEISS
YURI KIFER
Affiliation:
Institute of Mathematics, Hebrew University, Jerusalem 91904, Israel (e-mail: kifer@math.huji.ac.il, weiss@math.huji.ac.il)
BENJAMIN WEISS
Affiliation:
Institute of Mathematics, Hebrew University, Jerusalem 91904, Israel (e-mail: kifer@math.huji.ac.il, weiss@math.huji.ac.il)
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Abstract

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We prove a relative version of Krieger's Theorem constructing relative generating partitions with cardinality estimated via the relative entropy. We introduce relative asymptotically entropy expansive random transformations and construct for them relative topological generators with cardinality estimated via the relative topological entropy, which enables us to represent such systems by means of random symbolic subshifts.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 22 , Issue 6 , December 2002 , pp. 1813 - 1830
Copyright
2002 Cambridge University Press