The Library
MIXING SETS AND RELATIVE ENTROPIES FOR HIGHER-DIMENSIONAL MARKOV SHIFTS
Tools
UNSPECIFIED (1993) MIXING SETS AND RELATIVE ENTROPIES FOR HIGHER-DIMENSIONAL MARKOV SHIFTS. ERGODIC THEORY AND DYNAMICAL SYSTEMS, 13 (Part 4). pp. 705-735. ISSN 0143-3857.
Research output not available from this repository.
Request-a-Copy directly from author or use local Library Get it For Me service.
Abstract
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of this paper are generalizations of earlier results by Kitchens and Schmidt, and we include a proof of David Masser's unpublished theorem.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 | ||||
ISSN: | 0143-3857 | ||||
Official Date: | December 1993 | ||||
Dates: |
|
||||
Volume: | 13 | ||||
Number: | Part 4 | ||||
Number of Pages: | 31 | ||||
Page Range: | pp. 705-735 | ||||
Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |