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 . 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.
@article{bwmeta1.element.bwnjournal-article-cmv84i1p67bwm,
author = {A. Prikhod'ko and V. Ryzhikov},
title = {Disjointness of the convolutionsfor Chacon's automorphism},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {67-74},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv84i1p67bwm}
}
Prikhod'ko, A.; Ryzhikov, V. Disjointness of the convolutionsfor Chacon's automorphism. Colloquium Mathematicae, Tome 84/85 (2000) pp. 67-74. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv84i1p67bwm/
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