Equivalence of measure preserving transformations

Equivalence of measure preserving transformations

by Ornstein, Donald S.

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Title Statements

  • Full title :Equivalence of measure preserving transformations / Donald S. Ornstein, Daniel J. Rudolph, and Benjamin Weiss.

Edition Statements

  • Publication Date:©1982

Publication Statements

Notes

"Volume 37, number 262 (end of volume)."

The Physical Object

  • Description:1 online resource (133 pages)

Edition Identifiers

  • ISBN:9781470406691, 1470406691
  • oclc:ocn884584275
  • LC Classification:QA313
  • Dewey Decimal:510 s

Table of Contents

TABLE OF CONTENTS -- INTRODUCTION -- EQUIVALENCE -- 1. EQUIVALENCE -- 2. THE f-METRIC -- 3. FINITELY FIXED PROCESSES -- 4. THE EQUIVALENCE THEOREM-I -- 5. THE EQUIVALENCE THEOREM-II -- 6. LOOSELY BERNOULLI TRANSFORMATIONS -- 7. BACK TO FLOWS AND SKEW PRODUCTS -- 8. TRANSFORMATIONS WITH FINITE RANK -- NON-EQUIVALENCE -- 9. INFINITE ENTROPY AND VARIOUS COMPLEMENTS -- 10. FELDMAN'S EXAMPLE -- 11. J[sup(f)] IS NOT ISOMORPHIC TO J -- 12. J AND J[sup( -1)] ARE NOT EQUIVALENT AND UNCOUNTABLY MANY NONEQUIVALENT O-ENTROPY TRANSFORMATIONS.

13. UNCOUNTABLY MANY PAIRWISE NONEQUIVALENT TRANSFORMATIONS OF FINITE AND INFINITE ENTROPY -- 14. A LOOSELY BERNOULLI T FOR WHICH T x T IS NOT LOOSELY BERNOULLI -- REFERENCES -- APPENDIX A.

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