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. Other examples are also given.
A number of results from the Bernoulli theory are shown to be true
for any restricted orbit equivalence.
1980 Mathematics Subject Classification, Primary 28D05, 28D20.
Library of Congress Cataloging in Publication Data
Rudolph, Daniel J.
Restricted orbit equivalence.
(Memoirs of the American Mathematical Society, ISSN 0065-9266; no. 323)
"Volume 54, number 323 (fifth of 6 numbers)."
Bibliography: p.
1. Ergodic theory. 2. Entropy (Information theory) I. Title. II. Title: Orbit
equivalence. III. Series.
QA3.A57 no. 323 [QA313] 510s [515.4'2] 84-28119
ISBN 0-8218-2324-8
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