Sur l'absence de mélange pour des flots spéciaux au-dessus d'une rotation irrationnelle
Volume 84 / 2000
Colloquium Mathematicum 84 (2000), 29-41
DOI: 10.4064/cm-84/85-1-29-41
Abstract
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.
