Spectrum of multidimensional dynamical systems with positive entropy

• Autorzy: B. Kamiński , P. Liardet
• Języki publikacji: EN

Abstrakty

EN

Applying methods of harmonic analysis we give a simple proof of the multidimensional version of the Rokhlin-Sinaǐ theorem which states that a Kolmogorov $ℤ^d$-action on a Lebesgue space has a countable Lebesgue spectrum. At the same time we extend this theorem to $ℤ^∞$-actions. Next, using its relative version, we extend to $ℤ^∞$-actions some other general results connecting spectrum and entropy.

Kategorie tematyczne

• 28D15: General groups of measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1994
• Tom: 108
• Numer: 1
• Strony: 77-85

Daty

wydano

1994

otrzymano

1993-03-03

Twórcy

autor

B. Kamiński

• Institute of Mathematics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

autor

P. Liardet

• Groupe de Théorie des Nombres, Université de Provence, 3, Place Victor Hugo, F-13331 Marseille Cedex 3, France

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