Generating partitions for random transformations

Yuri Kifer, Benjamin Weiss

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)1813-1830
Number of pages18
JournalErgodic Theory and Dynamical Systems
Volume22
Issue number6
DOIs
StatePublished - Dec 2002

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