Negative nonsingular transformations

Christoph Kopf

Annales de l'I.H.P. Probabilités et statistiques (1982)

  • Volume: 18, Issue: 1, page 81-102
  • ISSN: 0246-0203

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Kopf, Christoph. "Negative nonsingular transformations." Annales de l'I.H.P. Probabilités et statistiques 18.1 (1982): 81-102. <http://eudml.org/doc/77180>.

@article{Kopf1982,
author = {Kopf, Christoph},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {negative nonsingular transformation; Rohlin's tower theorem; aperiodic transformations},
language = {eng},
number = {1},
pages = {81-102},
publisher = {Gauthier-Villars},
title = {Negative nonsingular transformations},
url = {http://eudml.org/doc/77180},
volume = {18},
year = {1982},
}

TY - JOUR
AU - Kopf, Christoph
TI - Negative nonsingular transformations
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1982
PB - Gauthier-Villars
VL - 18
IS - 1
SP - 81
EP - 102
LA - eng
KW - negative nonsingular transformation; Rohlin's tower theorem; aperiodic transformations
UR - http://eudml.org/doc/77180
ER -

References

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  1. [1] R.V. Chacon and N.A. Friedman, Approximation and invariant measures, Z. Wahrscheinlichkeitstheorie verw. Geb., t. 3, 1965, p. 286-295. Zbl0136.12302MR185068
  2. [2] M.H. Ellis, Sweeping out under a collection of transformations, Math. Z., t. 165, 1979, p. 213-221. Zbl0377.28013MR523122
  3. [3] M.H. Ellis and N.A. Friedman, Sweeping out on a set of integers, Proc. Amer. Math. Soc., t. 72 (3), 1978, p. 509-512. Zbl0395.28011MR509244
  4. [4] M.H. Ellis and N.A. Friedman, Subset generators for nonsingular transformations, J. London Math. Soc. (2), t. 20, 1979, p. 347-357. Zbl0425.28014MR551465
  5. [5] N.A. Friedman, On transformations with weakly wandering sets, Acta Math. Acad. Sci. Hung., t. 17, 1966, p. 451-455. Zbl0192.14401MR197675
  6. [6] A. Hajian and S. Kakutani, Weakly wandering sets and invariant measures, Trans. Amer. Math. Soc., t. 110, 1964, p. 136-151. Zbl0122.29804MR154961
  7. [7] G. Helmberg and F.H. Simons, Aperiodic transformations, Z, Wahrscheinlichkeitstheorie verw. Geb., t. 13, 1969, 180-190. Zbl0176.33902MR252602
  8. [8] L.K. Jones and U. Krengel, On transformations without finite invariant measure, Advan. Math., t. 12, 1974, p. 275-295. Zbl0286.28017MR340548
  9. [9] Ch. Kopf, On a theorem of V. A. ROHLIN, Math. Nachr., t. 92, 1979, p. 161-162. Zbl0429.28021MR563582
  10. [10] U. Krengel, Transformations without finite invariant measure have finite strong generators, First Midwestern Conference, Ergodic Theory and Probability, Springer Lecture Notes, t. 160, 1970, p. 133-157. Zbl0201.38303MR269808
  11. [11] U. Krengel, Recent results on generators in ergodic theory, Trans. Sixth Prague Conf. on Information Theory, Stat. Decision Functions, Random Processes, Academia Press, 1973, p. 465-682. Zbl0318.94024MR348078
  12. [12] J. Neveu, Existence of bounded invariant measures in ergodic theory, Proc. Fifth Berkely Symp. Math. Stat. and Prob., 1965, t. 2, 1967, p. 461-472. Zbl0221.28008MR212161
  13. [13] V.A. Rohlin, Lectures on the entropy theory of measure preserving transfortions, Russian Math. Surveys, t. 22, 1967, p. 1-52. Zbl0174.45501MR217258
  14. [14] P. Wal'ters, Roots of n : 1 measure-preserving transformations, J. London Math. Soc., t. 44, 1969, p. 7-14. Zbl0159.07701MR232913

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