Geodesic
Disjointness of the convolutionsfor Chacon's automorphism
Colloquium Mathematicum, Tome 84 (2000) no. 1, pp. 67-74.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The purpose of this paper is to show that if σ is the maximal spectral type of Chacon's transformation, then for any d ≠ d' we have $σ^{*d} ⊥ σ^{*d'}$. First, we establish the disjointness of convolutions of the maximal spectral type for the class of dynamical systems that satisfy a certain algebraic condition. Then we show that Chacon's automorphism belongs to this class.
DOI : 10.4064/cm-84/85-1-67-74

A. Prikhod'ko 1 ; V. Ryzhikov 1

1 
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A. Prikhod'ko; V. Ryzhikov. Disjointness of the convolutionsfor Chacon's automorphism. Colloquium Mathematicum, Tome 84 (2000) no. 1, pp. 67-74. doi : 10.4064/cm-84/85-1-67-74. http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-1-67-74/

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