Disjointness of the convolutionsfor Chacon's automorphism

• Autorzy: Prikhod'ko A. A. , Ryzhikov V. V.
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2000
• Tom: 84/85
• Numer: 1
• Strony: 67-74

Daty

wydano

2000

otrzymano

1999-05-10

poprawiono

2000-02-11

Twórcy

autor

Prikhod'ko A. A.

• Department of Mathematics, Moscow State University, 119899 Moscow, Russia

autor

Ryzhikov V. V.

• Department of Mathematics, Moscow State University, 119899 Moscow, Russia

Bibliografia

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