A note on cocycles in ergodic theory

William Parry

Compositio Mathematica (1974)

  • Volume: 28, Issue: 3, page 343-350
  • ISSN: 0010-437X

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Parry, William. "A note on cocycles in ergodic theory." Compositio Mathematica 28.3 (1974): 343-350. <http://eudml.org/doc/89219>.

@article{Parry1974,
author = {Parry, William},
journal = {Compositio Mathematica},
language = {eng},
number = {3},
pages = {343-350},
publisher = {Noordhoff International Publishing},
title = {A note on cocycles in ergodic theory},
url = {http://eudml.org/doc/89219},
volume = {28},
year = {1974},
}

TY - JOUR
AU - Parry, William
TI - A note on cocycles in ergodic theory
JO - Compositio Mathematica
PY - 1974
PB - Noordhoff International Publishing
VL - 28
IS - 3
SP - 343
EP - 350
LA - eng
UR - http://eudml.org/doc/89219
ER -

References

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  1. [1] H. Anzai: Ergodic skew transformations on the torus. Osaka Math. J., 3 (1951) 83-99. Zbl0043.11203MR40594
  2. [2] H. Furstenberg: Strict ergodicity and transformations of the torus. Amer. J. Math., 83 (1961) 573-601. Zbl0178.38404MR133429
  3. [3] R. Ellis: The construction of minimal discrete flows. Amer. J. Math., 87 (1965) 564-574. Zbl0129.38704MR185589
  4. [4] R. Ellis: Global sections of transformation groups. Ill. J. Math., 8 (1964) 380-394. Zbl0121.18001MR167969
  5. [5] W. Parry: Compact abelian group extensions of discrete dynamical systems. Z. Wahr. Verw. Geb., 13 (1969) 95-113. Zbl0184.26901MR260976
  6. [6] R. Jones and W. Parry: Compact abelian group extensions of dynamical systems II. Comp. Math., 25 (1972) 135-147. Zbl0243.54039MR338318
  7. [7] R.V. Chacon: Change of velocity in flows. J. Math. Mech., 16 (1966) 417-431. Zbl0158.30301MR207955
  8. [8] P.D. Humphreys: Velocity changes offlows. Thesis, University of Warwick, Coventry. 1971. 
  9. [9] E. Hopf: Ergodentheorie. Chelsea. 1948. 
  10. [10] G. Maruyama: Transformation of flows. J. Math. Soc. Japan, 18 (1966) 303-330. Zbl0166.40402MR212160
  11. [11] H. Totoki: Time changes of flows. Mem. Fac. Sci. Kyushu Univ. Ser. A, 20 (1966) 27-55. Zbl0185.39103MR201606
  12. [12] W. Parry: Cocycles and velocity changes. J. Lond. Math. Soc., 5 (1972) 511-516. Zbl0242.28013MR320276
  13. [13] A.N. Kolmogorov: On dynamical systems with an integral invariant on the torus. Dokl. Akad. Nauk. S.S.S.R., 43 (1953) 763-766. (In Russian.) Zbl0052.31904MR62892
  14. [14] V. Arnold: Small denominators I. Mapping the circle into itself. Izu. Akad. Nauk. S.S.S.R. Ser. Mat., 25 (1961) 21-86.A.M.S. Translations. Ser.2., 46 (1965) 213-284. Zbl0152.41905MR140699
  15. [15] M. Kowada: The orbit preserving transformation groups associated with a measurable flow. J. Math. Soc. Japan., 24 (1972) 355-373. Zbl0234.28009MR306451
  16. [16] A. Zygmund: Trigonometric series. Cambridge1968. Zbl0085.05601

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