Cyclic approximation of analytic cocycles over irrational rotations

A. Iwanik

Colloquium Mathematicum (1996)

  • Volume: 70, Issue: 1, page 73-78
  • ISSN: 0010-1354

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Iwanik, A.. "Cyclic approximation of analytic cocycles over irrational rotations." Colloquium Mathematicum 70.1 (1996): 73-78. <http://eudml.org/doc/210397>.

@article{Iwanik1996,
author = {Iwanik, A.},
journal = {Colloquium Mathematicum},
keywords = {real-analytic cocycle; cyclic approximation; Anzai skew product; weakly mixing cocycle; irrational rotations; cyclic approximations; weakly mixing cocycles},
language = {eng},
number = {1},
pages = {73-78},
title = {Cyclic approximation of analytic cocycles over irrational rotations},
url = {http://eudml.org/doc/210397},
volume = {70},
year = {1996},
}

TY - JOUR
AU - Iwanik, A.
TI - Cyclic approximation of analytic cocycles over irrational rotations
JO - Colloquium Mathematicum
PY - 1996
VL - 70
IS - 1
SP - 73
EP - 78
LA - eng
KW - real-analytic cocycle; cyclic approximation; Anzai skew product; weakly mixing cocycle; irrational rotations; cyclic approximations; weakly mixing cocycles
UR - http://eudml.org/doc/210397
ER -

References

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 [K] A. Katok, Constructions in ergodic theory, unpublished lecture notes. 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

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