Copyright

References

Hide All

[BC]Benedicks, M. & Carleson, L.. On iterations of 1−ax² on (−1, 1). Ann. Math. 122 (1985), 1–25.

[BI]Billingsley, P.. Probability and Measure. Wiley, New York, 1986.

[BR]Brolin, H.. Invariant sets under iteration of rational functions. Ark. Math. 6 (1966), 103–144.

[GU1]Guckenheimer, J.. Sensitive dependence to initial conditions for one dimensional maps. Commun. Math. Phys. 70 (1979), 133–160.

[GU2]Guckenheimer, J.. Oscillations, Dynamical Systems and Bifurcations of Vector Fields. Springer Verlag, Berlin, 1986.

[Hö]Hörmander, L.. The analysis of linear partial differential operators I. Springer Verlag, Berlin, New York, 1983.

[KI]Kifer, Y.. Ergodic theory of random transformations. Progress in Probability and Statistics, vol. 10. Birkhauser, 1986.

[MSS]Mañé, R., Sad, P. & Sullivan, D.. On the dynamics of rational maps. Ann. Sci. Ec. Norm. Sup. 16 (1983), 193–217.

[Mil]Milnor, J.. Dynamics in one complex variable: introductory lectures. SUNY Stonybrook 1990, Preprint.

[MI]Misuriewicz, M.. Structure of mappings of an interval with zero entropy. Publ. Math. IHES 53, (1981) 5–16.

[OH]Ohno, T.. Asymptotic behaviour of dynamical systems with random parameters. Publ. R.I.M.S. Kyoto Univ. 19 (1983), 83–98.

[RE]Rees, M.. Positive measure sets of ergodic rational maps. Ann. Sci. Ec. Norm. Sup. 19 (1986), 383–407.

[RU1]Ruelle, D.. Small random perturbations of dynamical systems and the definition of attractors. Commun. Math. Phys. 82 (1981), 137–151.

[RU2]Ruelle, D.. Elements of Differentiate Dynamics and Bifurcation Theory. Academic Press, New York, 1989.

[SI]Singer, S.. Stable orbits and bifurcation of maps of the interval. SIAM J. Appl. Math. 35 (1978), 260–267.

[SU1]Sullivan, D.. Itération des fonctions analytiques complexes. C. R. Acad. Sci. Paris 294 (1982), 301–303.

[SU2]Sullivan, D.. Quasiconformal homeomorphisms and dynamics I. Ann. Math. 122 (1985), 401–418.