On ergodicity of some cylinder flows

Fundamenta Mathematicae

Volumn 163, Issue 2, 2000, Pages 117-130

  Fra̧czek, Krzysztof ^a  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 17344374794     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. I. P. Cornfeld, S. V. Fomin and Ya. G. Sinai, Ergodic Theory, Springer, Berlin, 1982.
2. H. Furstenberg, Strict ergodicity and transformations on the torus, Amer. J. Math. 83 (1961), 573-601.
3. P. Gabriel, M. Lemańczyk et P. Liardet, Ensemble d'invariants pour les produits croisés de Anzai, Mém. Soc. Math. France 47 (1991).
4. P. Hellekalek and G. Larcher, On the ergodicity of a class of skew products, Israel J. Math. 54 (1986), 301-306.
5. M. R. Herman, Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations, Publ. Mat. IHES 49 (1979), 5-234.
6. M. Lemańczyk, F. Parreau and D. Volný, Ergodic properties of real cocycles and pseudo-homogeneous Banach spaces, Trans. Amer. Math. Soc. 348 (1996), 4919-4938.
7. W. Parry, Topics in Ergodic Theory, Cambridge Univ. Press. Cambridge, 1981.
8. D. Pask, Skew products over the irrational rotation, Israel J. Math. 69 (1990), 65-74.
9. _, Ergodicity of certain cylinder flows, ibid. 76 (1991), 129-152.
10. K. Schmidt, Cocycles of Ergodic Transformation Groups, Macmillan Lectures in Math. 1, Delhi, 1977.