Ergodic Z 2 -extensions over rational pure point spectrum, category and homomorphisms

M. Lemańczyk

Compositio Mathematica (1987)

  • Volume: 63, Issue: 1, page 63-81
  • ISSN: 0010-437X

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Lemańczyk, M.. "Ergodic $Z_2$-extensions over rational pure point spectrum, category and homomorphisms." Compositio Mathematica 63.1 (1987): 63-81. <http://eudml.org/doc/89852>.

@article{Lemańczyk1987,
author = {Lemańczyk, M.},
journal = {Compositio Mathematica},
keywords = {ergodic -extensions; ergodic transformation; rational pure point spectrum; Morse sequences},
language = {eng},
number = {1},
pages = {63-81},
publisher = {Martinus Nijhoff Publishers},
title = {Ergodic $Z_2$-extensions over rational pure point spectrum, category and homomorphisms},
url = {http://eudml.org/doc/89852},
volume = {63},
year = {1987},
}

TY - JOUR
AU - Lemańczyk, M.
TI - Ergodic $Z_2$-extensions over rational pure point spectrum, category and homomorphisms
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 63
IS - 1
SP - 63
EP - 81
LA - eng
KW - ergodic -extensions; ergodic transformation; rational pure point spectrum; Morse sequences
UR - http://eudml.org/doc/89852
ER -

References

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  5. 5 H. Fürstenberg: Disjointness in ergodic theory, minimal sets and a problem in Diophantine approximation. Math. Syst. Th.1 (1967) 1-49. Zbl0146.28502MR213508
  6. 6 G.R. Goodson: Simple approximation and skew products. J. Lon. Math. Soc. (2) 7 (1973) 147-156. Zbl0267.28007MR325922
  7. 7 P.R. Halmos: Lectures in Ergodic Theory. Moscou (1959) (in Russian). Zbl0073.09302
  8. 8 H. Helson and W. Parry: Cocycles and spectra. Arkiv för Mat.16 (1978) 195-205. Zbl0401.28018MR524748
  9. 9 K. Jacobs: Ergodic theory and combinatorics. Contemp. Math.26 (1984) 171-187. Zbl0548.28006MR737399
  10. 10 R. Jones and W. Parry: Compact abelian group extensions of dynamical systems II. Comp. Math.25 (1972) 135-147. Zbl0243.54039MR338318
  11. 11 A.B. Katok and A.M. Stepin: Approximation in ergodic theory. Usp. Mat. Nauk22, 5 (137) (1967) 81-105 (in Russian). Zbl0172.07202MR219697
  12. 12 M. Keane: Generalized Morse sequences. Z. Wahr. Verw. Geb.10 (1968) 335-353. Zbl0162.07201MR239047
  13. 13 A.G. Kushnirenko: On metric invariant of entropy type. Usp. Mat. Nauk22, 5 (137) (1967) 53-61 (in Russian). Zbl0169.46101
  14. 14 J. Kwiatkowski: Isomorphism of regular Morse dynamical systems. Studia Math.62 (1982) 59-89. Zbl0525.28018MR665892
  15. 15 M. Lemańczyk: The rank of regular Morse dynamical systems. Z. Wahr. Verw. Geb.70 (1985) 33-48. Zbl0549.28026MR795787
  16. 16 M. Lemańczyk: Ergodic properties of Morse sequences. Diss. (1985). Zbl0639.28011
  17. 17 M. Lemańczyk and M.K. Mentzen: Generalized Morse sequences on n-symbols and m-symbols are not isomorphic. Bull. Pol. Ac. Sc.33 no 5-6 (1985) 239-245. Zbl0631.28011MR816371
  18. 18 J. Mathew and M.G. Nadkarni: A measure-preserving transformation whose spectrum has Lebesgue component of multiplicity two. Bull. Lon. Math. Soc.16 no 4 (1984) 402-406. Zbl0515.28010MR749448
  19. 19 D. Newton: On canonical factors of ergodic dynamical systems. J. Lon. Math. Soc. (2) 19 (1979) 129-136. Zbl0425.28012MR527744
  20. 20 K. Parczyk: Strong topology on the automorphism group of the Lebesgue space. Ann. Soc. Math. Pol. Comm. Math.23 (1983) 91-95. Zbl0595.28023MR709176
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  24. 24 T. Rojek: On a metric isomorphism of Morse dynamical system. Studia Math. (to appear). Zbl0657.28011MR877081

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