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Restricted orbit equivalence

Author: Daniel J Rudolph
Publisher: Providence, R.I. : American Mathematical Society, ©1985.
Series: Memoirs of the American Mathematical Society, no. 323.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
These notes develop a theory of restricted orbit equivalence which has as particular examples Ornstein's isomorphism theorem for Bernoulli processes, Dye's orbit equivalence theorem for ergodic processes and the theory of Kakutani equivalence developed by Feldman, Ornstein, Weiss and Katok. A number of results from the Bernoulli theory are shown to be true for any restricted orbit equivalence.
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Genre/Form: Ergodentheorei
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Daniel J Rudolph
ISBN: 0821823248 9780821823248
OCLC Number: 11623700
Notes: "March 1985, volume 54, number 323 (fifth of 6 numbers)."
Description: v, 150 pages ; 26 cm.
Contents: Introduction --
Sizes --
[italic]m-entropy --
The restricted orbit equivalence theorem --
Further results and discussion.
Series Title: Memoirs of the American Mathematical Society, no. 323.
Other Titles: Orbit equivalence.
Responsibility: Daniel J. Rudolph.

Abstract:

These notes develop a theory of restricted orbit equivalence which has as particular examples Ornstein's isomorphism theorem for Bernoulli processes, Dye's orbit equivalence theorem for ergodic processes and the theory of Kakutani equivalence developed by Feldman, Ornstein, Weiss and Katok. A number of results from the Bernoulli theory are shown to be true for any restricted orbit equivalence.

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