Sur l'absence de mélange pour des flots spéciaux au-dessus d'une rotation irrationnelle

M. Lemańczyk

Colloquium Mathematicae (2000)

  • Volume: 84/85, Issue: 1, page 29-41
  • ISSN: 0010-1354


We prove the absence of mixing for special flows built over (1) an irrational rotation and under a function whose Fourier coefficients are of order O(1/|n|), and (2) an irrational rotation (satisfying a diophantine condition) and under a function having a finite number of singularities of a logarithmic type. These results generalize two theorems of Kochergin.

How to cite


Lemańczyk, M.. "Sur l'absence de mélange pour des flots spéciaux au-dessus d'une rotation irrationnelle." Colloquium Mathematicae 84/85.1 (2000): 29-41. <>.

author = {Lemańczyk, M.},
journal = {Colloquium Mathematicae},
keywords = {mixing; flow built under a function},
language = {fre},
number = {1},
pages = {29-41},
title = {Sur l'absence de mélange pour des flots spéciaux au-dessus d'une rotation irrationnelle},
url = {},
volume = {84/85},
year = {2000},

AU - Lemańczyk, M.
TI - Sur l'absence de mélange pour des flots spéciaux au-dessus d'une rotation irrationnelle
JO - Colloquium Mathematicae
PY - 2000
VL - 84/85
IS - 1
SP - 29
EP - 41
LA - fre
KW - mixing; flow built under a function
UR -
ER -


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