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A cylinder flow arising from irregularity of distribution. (English) Zbl 0388.28019

MSC:
28D05 Measure-preserving transformations
54H20 Topological dynamics (MSC2010)
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References:
[1] G. Atkinson : Recurrence of cocycles and random walks . J. London Math. Soc. (2), 13 (1976) 486-488. · Zbl 0342.60049
[2] G. Atkinson : Ph.D. Thesis , Warwick 1977.
[3] J.W.S. Cassels : An introduction to diophantine approximation . Cambridge University Press: Cambridge 1957. · Zbl 0077.04801
[4] J.P. Conze : Équirépartition et ergodicité de transformations cylindriques . Preprint: Rennes 1976.
[5] K. Petersen : On a series of cosecants related to a problem in ergodic theory . Compositio Math., 26 (1973) 313-317. · Zbl 0269.10030
[6] K. Schmidt : Lectures on cocycles of ergodic transformation groups . Preprint: Warwick 1976.
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