Ergodicity for piecewise smooth cocycles over toral rotations

Fundamenta Mathematicae

Volumn 157, Issue 2-3, 1998, Pages 235-244

  Iwanik, A ^a  

^a WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

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[No Author keywords available]

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EID: 0032350637     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. H. Anzai, Ergodic skew product transformations on the torus Osaka J. Math. 3 (1951), 88-99.
2. G. H. Choe, Products of operators with singular continuous spectra, in: Proc. Sympos. Pure Math. 51, Amer. Math. Soc., Providence, R.I., 1990, 65-68.
3. H. Helson, Cocycles on the circle, J. Operator Theory 16 (1986), 189-199.
4. M. Herman, Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations, Inst. Hautes Études Sci. Publ. Math. 49 (1979), 5-234.
5. H. Iwaniec, On a problem of Jacobsthal, Demonstratio Math. 11 (1978), 225-231.
6. A. Iwanik, Anzai skew products with Lebesgue component of infinite multiplicity, Bull. London Math. Soc. 29 (1997), 195-199.
7. A. Iwanik, M. Lemańczyk and C. Mauduit, Piecewise absolutely continuous cocycles over irrational rotations, J. London Math. Soc., to appear.
8. A. Khintchine, Zur metrischen Theorie der diophantischen Approximationen, Math. Z. 24 (1926), 706-714.
9. H. A. Medina, Spectral types of unitary operators arising from irrational rotations on the circle group, Michigan Math. J. 41 (1994), 39-49.
10. D. A. Pask, Skew products over the irrational rotation, Israel J. Math. 69 (1990), 65-74.