Sur l'absence de mélange pour des flots spéciaux au-dessus d'une rotation irrationnelle
M. Lemańczyk (2000)
Colloquium Mathematicae
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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.