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A class of special flows over irrational rotations which is disjoint from mixing flows

Published online by Cambridge University Press:  09 August 2004

K. FRĄCZEK  and
M. LEMAŃCZYK
K. FRĄCZEK
Affiliation:
Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland (e-mail: fraczek@mat.uni.torun.pl, mlem@mat.uni.torun.pl)
M. LEMAŃCZYK
Affiliation:
Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland (e-mail: fraczek@mat.uni.torun.pl, mlem@mat.uni.torun.pl)
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Abstract

It is proved that special flows over irrational rotations and under functions whose Fourier coefficients are of order O(1/|n|) are disjoint in the sense of Furstenberg from all mixing flows. This is an essential strengthening of a classical result by Kočergin on the absence of mixing of special flows built over irrational rotations and under bounded variation roof functions.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 24 , Issue 4 , August 2004 , pp. 1083 - 1095
Copyright
2004 Cambridge University Press

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