# Analytic nonregular cocycles over irrational rotations

Commentationes Mathematicae Universitatis Carolinae (1995)

- Volume: 36, Issue: 4, page 727-735
- ISSN: 0010-2628

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topLemańczyk, Mariusz. "Analytic nonregular cocycles over irrational rotations." Commentationes Mathematicae Universitatis Carolinae 36.4 (1995): 727-735. <http://eudml.org/doc/247755>.

@article{Lemańczyk1995,

abstract = {Analytic cocycles of type $III_0$ over an irrational rotation are constructed and an example of that type is given, where all corresponding special flows are weakly mixing.},

author = {Lemańczyk, Mariusz},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {cocycle; special flow; weak mixing; cylinder flow; essential values; type analytic cocycle; coboundary; unbounded gaps; ergodic measure preserving transformation},

language = {eng},

number = {4},

pages = {727-735},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Analytic nonregular cocycles over irrational rotations},

url = {http://eudml.org/doc/247755},

volume = {36},

year = {1995},

}

TY - JOUR

AU - Lemańczyk, Mariusz

TI - Analytic nonregular cocycles over irrational rotations

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1995

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 36

IS - 4

SP - 727

EP - 735

AB - Analytic cocycles of type $III_0$ over an irrational rotation are constructed and an example of that type is given, where all corresponding special flows are weakly mixing.

LA - eng

KW - cocycle; special flow; weak mixing; cylinder flow; essential values; type analytic cocycle; coboundary; unbounded gaps; ergodic measure preserving transformation

UR - http://eudml.org/doc/247755

ER -

## References

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- Schmidt K., Cocycles of Ergodic Transformation Groups, Lect. Notes in Math. Vol. 1, Mac Millan Co. of India, 1977. MR0578731
- Volný D., Constructions of smooth and analytic cocycles over irrational circle rotations, Comment. Math. Univ. Carolinae 36.4 (1995), 745-764. (1995) MR1378696

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