Ergodic properties of random iterations of analytic functions

Ergodic Theory and Dynamical Systems

Volumn 19, Issue 6, 1999, Pages 1379-1388

  Ambroladze, Amiran ^a,b  

^a LUND INSTITUTE OF TECHNOLOGY   (Sweden)

^b TBILISI STATE UNIVERSITY   (Georgia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033276094     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S014338579914166X     Document Type: Article

References (17)

1. A. Ambroladze and H. Wallin. Random iteration of isometries of the hyperbolic plane. Markov Processes and Related Fields 5(1) (1999), 69-88.
2. A. Ambroladze and H. Wallin. Random iteration of Möbius transformations and Furstenberg's theorem. Submitted to Ergod. Th. & Dynam. Sys.
3. M. F. Barnsley. Fractals Everywhere. Academic, London, 1988.
4. M. F. Barnsley, J. H. Elton and D. P. Hardin. Recurrent iterated function systems. Constr. Approx. 5 (1989), 3-31.
5. M. F. Barnsley and L. P. Hurd. Fractal Image Compression. AK Peters, Wellesley, MA, 1993.
6. A. Barrlund, H. Wallin and J. Karlsson. Iteration of Möbius transformations and attractors on the real line. Comput. Math. Appl. 33 (1997), 1-12.
7. J. F. Chamayou and J. Letac. Explicit stationary distributions for compositions of random functions and products of random matrices. J. Theor. Prob. 4(1) (1991), 3-36.
8. L. E. Dubins and D. A. Freedman. Invariant probabilities for certain Markov processes. Ann. Math. Statist. 37 (1966), 837-848.
9. H. Furstenberg. Noncommuting random products. Trans. Amer. Math. Soc. 108 (1963), 377-428.
10. G. M. Goluzin. Geometrical Theory of Functions of a Complex Variable. Nauka, Moscow, 1966.
11. G. Högnäs and A. Mukherjea. Probability Measures on Semigroups. Plenum, New York, 1995.
12. T. Kaijser. A limit theorem for Markov chains in compact metric spaces with applications to products of random matrices. Duke Math. J. 45(2) (1978), 311-349.
13. J. Karlsson and H. Wallin. Continued fractions and iterated function systems. In Proc. Conf. Loen 1992, Continued Frac, and Orthogonal Functions. Marcel Dekker, New York, 1994, pp. 191-210.
14. G. Letac. A contraction principle for certain Markov chains and its applications. Contemp. Math. 50 (1986), 263-273.
15. T. Lindwall. Lectures on the Coupling Method. Wiley, New York, 1992.
16. H. O. Peitgen and P. H. Richter. The Beauty of Fractals. Springer, Berlin, 1986.
17. Y. G. Sinai. Introduction to Ergodic Theory. Princeton University Press, Princeton, 1977.