Invariant measures for smooth extensions of Bernoulli shifts

• Autorzy: Kowalski Z. S.
• Języki publikacji: EN

Abstrakty

EN

For a class of skew products which are non-isometric extensions of one-sided Bernoulli shifts we describe the set of invariant measures with the left marginals equal to the basie measure. It appears that under some conditions this set consists of product measures.

Słowa kluczowe

EN

extension of one-sided Bernoulli shift; invariant product measure

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2003
• Tom: Vol. 51, no 3
• Strony: 261--267
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Kowalski Z. S.

• Wrocław University of Technology, Institute of Mathematics, Wybrzeże St. Wyspiańskiego 27, 50-370 Wrocław, Poland,

Bibliografia

• [1] Z. S. Kowalski, Stationary pertubations based on Bernoulli processes, Studia Math., 97 (1) (1990) 53-57.
• [2] Z. S. Kowalski, P. Liardet, Genericity of the K-property for a class of transformations, Proceedings of AMS, 128 (10) (2000) 2981-2988.
• [3] T. Morita, Deterministic version lemmas in ergodic theory of random dynamical systems, Hiroshima Math. J., 18 (1988) 15-29.