Geodesic
Spectrum of multidimensional dynamical systems with positive entropy
Studia Mathematica, Tome 108 (1994) no. 1, pp. 77-85

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

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.
DOI : 10.4064/sm-108-1-77-85

B. Kamiński 1

1 
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B. Kamiński. Spectrum of multidimensional dynamical systems with positive entropy. Studia Mathematica, Tome 108 (1994) no. 1, pp. 77-85. doi: 10.4064/sm-108-1-77-85

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