On the multiplicative ergodic theorem for uniquely ergodic systems

Annales de l'institut Henri Poincare (B) Probability and Statistics

Volumn 33, Issue 6, 1997, Pages 797-815

  Furman, Alex ^a  

^a NONE

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[No Author keywords available]

Indexed keywords

EID: 0031521310     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(97)80113-6     Document Type: Article

References (11)

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4. [4] M. R. HERMAN, Construction d'un difféomorphisme minimal d'entropie topologique non nulle, Ergod. Th. and Dyn. Sys., Vol. 1, No. 1, 1981, pp. 65-76.
5. 15] Y. KATZNELSON and B. WEISS, A simple proof of some ergodic theorems, Israel J. Math., Vol. 42, No. 4, 1982, pp. 291-296.
6. [6] J. F. C. KINGMAN, The ergodic theory of subadditive stochastic processes, J. Royal Stat. Soc., Vol. B30, 1968, pp. 499-510.
7. 2(R) cocycles: discontinuity and the problem of positivity, in Lecture Notes in Math., Vol. 1186, Lyapunov exponents, Berlin-Heidelberg-New York, pp. 86-97.
8. 2(R)-cocycles, Ergod. Th. and Dyn. Syst., Vol. 12, No.2, 1992, pp. 319-331.
9. 2(R) valued cocycles arising from strongly accessible linear differential systems have non-zero Lyapunov exponents, preprint.
10. [10] V. I. OSELEDEC, A multiplicative ergodic theorem. Lyapunov characteristic numbers for dynamical systems. Trans. Moscow Math. Soc., Vol. 19, 1968, pp. 197-231.
11. [11] P. WALTERS, Unique ergodicity and matrix products, in Lecture Notes in Math., Vol 1186, Lyapunov exponents, Berlin-Heidelberg-New York, pp. 37-56.