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.
@article{bwmeta1.element.bwnjournal-article-cmv84i1p29bwm,
author = {M. Lema\'nczyk},
title = {Sur l'absence de m\'elange pour des flots sp\'eciaux au-dessus d'une rotation irrationnelle},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {29-41},
language = {fr},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv84i1p29bwm}
}
Lemańczyk, M. Sur l'absence de mélange pour des flots spéciaux au-dessus d'une rotation irrationnelle. Colloquium Mathematicae, Tome 84/85 (2000) pp. 29-41. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv84i1p29bwm/
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