MIXING SETS AND RELATIVE ENTROPIES FOR HIGHER-DIMENSIONAL MARKOV SHIFTS
UNSPECIFIED. (1993) MIXING SETS AND RELATIVE ENTROPIES FOR HIGHER-DIMENSIONAL MARKOV SHIFTS. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 13 (Part 4). pp. 705-735. ISSN 0143-3857Full text not available from this repository.
We consider certain measurable isomorphism invariants for measure-preserving Z(d)-actions on probability spaces, compute them for a class of d-dimensional Markov shifts, and use them to prove that some of these examples are non-isomorphic. The invariants under discussion are of three kinds: the first is associated with the higher-order mixing behaviour of the Z(d)-action, and is related-in this class of examples-to an an arithmetical result by David Masser, the second arises from certain relative entropies associated with the Z(d)-action, and the third is a collection of canonical invariant sigma-algebras. The results of this paper are generalizations of earlier results by Kitchens and Schmidt, and we include a proof of David Masser's unpublished theorem.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Journal or Publication Title:||ERGODIC THEORY AND DYNAMICAL SYSTEMS|
|Publisher:||CAMBRIDGE UNIV PRESS|
|Number of Pages:||31|
|Page Range:||pp. 705-735|
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