Random iteration of Möbius transformations and Furstenberg's theorem

Ergodic Theory and Dynamical Systems

Volumn 20, Issue 4, 2000, Pages 953-962

  Ambroladze, Amiran ^a   Wallin, Hans ^b  

^a LUND INSTITUTE OF TECHNOLOGY   (Sweden)

^b UMEÅ UNIVERSITY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034373671     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385700000535     Document Type: Article

References (10)

1. A. Ambroladze. Ergodic properties of random iterations of analytic functions. Ergod. Th. & Dynam. Sys. 19 (1999), 1379-1388.
2. A. Ambroladze and H. Wallin. Random iteration of isometrics of the hyperbolic plane. Markov Processes and Related Fields 5(1) (1999), 69-88.
3. A. Barrlund, H. Wallin and J. Karlsson. Iteration of Möbius transformations and attractors on the real line. Comp. Math. Appl. 33 (1997), 1-12.
4. P. Bougerol and J. Lacroix. Products of Random Matrices with Applications to Schrödinger Operators. Birkhäuser, Boston, Basel, Stuttgart, 1985.
5. H. Furstenberg. Noncommuting random products. Trans. Amer. Math. Soc. 108 (1963), 377-428.
6. G. Högnäs and A. Mukherjea. Probability Measures on Semigroups. Plenum, New York, 1995.
7. J. Karlsson and H. Wallin. Continued fractions and iterated function systems. Proc. Conf. Loen 1992, Continued Fractions and Orthogonal Functions. Marcel Dekker, New York, 1994, pp. 191-210.
8. J. Karlsson, H. Wallin and J. Gelfgren. Iteration of Möbius transformations and continued fractions. Rocky Mountain J. Math. 21 (1991), 451-472.
9. T. Kaijser. On invariant measures associated to products of random matrices. Festschrift in Honor of L. Carleson and Y. Domar (Proc. Conf., Uppsala 1993). Acta Univ. Upsaliensis, Uppsala, 1995, pp. 191-203.
10. J. Stillwell. Geometry of Surfaces. Springer, New York, 1992.