Decay of correlations and mixing properties in a dynamical system with zero K-S entropy

Ergodic Theory and Dynamical Systems

Volumn 17, Issue 1, 1997, Pages 87-103

  Courbage, M ^a,b   Hamdan, D ^a  

^a University of Paris VII LPSM partially supported by ERC Starting Grant 680275 MALIG   (France)

^b UNIVERSITÉ PARIS DESCARTES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031530999     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385797061051     Document Type: Article

References (11)

1. L.M. Abramov and V. A. Roklin. The entropy of a skew product of measure preserving transformation. Vestnik Lennigrad Univers. 17 (1962) 5-13. Amer. Math. Soc. Transl. (Ser. 2) 48 (1965), 225.
2. L.M. Abramov and V. A. Roklin. The entropy of a skew product of measure preserving transformation. Vestnik Lennigrad Univers. 17 (1962) 5-13. Amer. Math. Soc. Transl. (Ser. 2) 48 (1965), 225.
3. V. M. Alexeyev. Existence of bounded function of the maximal spectral type. Ergod. Th. & Dynam. Sys. 2 (1982), 259.
4. R. Bowen. Equilibrium States and Ergodic Theory (Lecture Notes in Mathematics 470). Springer, 1975.
5. L. A. Bunimovich and Ya. G. Sinai. Statistical properties of Lorentz gas with periodic configurations of scatterers. Commun. Math. Phys. 78 (1981), 474.
6. I. P. Cornfeld, S. V. Fomin and Ya. G. Sinai. Ergodic Theory. Springer, New York, 1981.
7. M. Courbage and D. Hamdan. Chapman-Kolmogorov equation for non-Markovian shift invariant measure. Ann. Prob. 22 (1994), 1662-1677.
8. M. Pollicott. On the rate of mixing of axiom A flows. Invent. Math. 81 (1985), 413.
9. L. Kuipers and H. Niederreiter. Uniform Distribution of Sequences. Wiley, New York, 1974.
10. G. N. Watson. A Treatise on the Theory of Bessel Functions. Cambridge University Press, 1952.
11. J. D. Crawford and J. R. Cary. Decay of correlations in a chaotic measure preserving transformation. Physica D6 (1983), 223-232.