Disjointness of the convolutionsfor Chacon's automorphism
Tom 84 / 2000
Colloquium Mathematicum 84 (2000), 67-74
DOI: 10.4064/cm-84/85-1-67-74
Streszczenie
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.
