Cyclic approximation of analytic cocycles over irrational rotations

• Autorzy: Anzelm Iwanik
• Języki publikacji: EN

Słowa kluczowe

EN

real-analytic cocycle; cyclic approximation; Anzai skew product; weakly mixing cocycle

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 70
• Numer: 1
• Strony: 73-78

Daty

wydano

1996

otrzymano

1995-04-24

Twórcy

autor

Anzelm Iwanik

• Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Bibliografia

• [A] H. Anzai, Ergodic skew product transformations on the torus, Osaka Math. J. 3 (1951), 83-99.
• [BL] F. Blanchard and M. Lemańczyk, Measure-preserving diffeomorphisms with an arbitrary spectral multiplicity, Topol. Methods Nonlinear Anal. 1 (1993), 275-294.
• [CFS] I. P. Cornfeld, S. V. Fomin and Ya. G. Sinai, Ergodic Theory, Springer, 1982.
• [I] A. Iwanik, Generic smooth cocycles of degree zero over irrational rotations, Studia Math., to appear.
• [IS] A. Iwanik and J. Serafin, Most monothetic extensions are rank-$1$, Colloq. Math. 66 (1993), 63-76.
• [K] A. Katok, Constructions in ergodic theory, unpublished lecture notes.
• [KLR] J. Kwiatkowski, M. Lemańczyk and D. Rudolph, A class of cocycles having an analytic coboundary modification, Israel J. Math. 87 (1994), 337-360.
• [R] A. Robinson, Non-abelian extensions have nonsimple spectrum, Composito Math. 65 (1988), 155-170.