Random iterations of rational functions
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Publication:4007818
DOI10.1017/S0143385700006428zbMath0753.30019OpenAlexW1987154347MaRDI QIDQ4007818
Nessim Sibony, John-Erik Fornaess
Publication date: 27 September 1992
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0143385700006428
periodic solutionsasymptotic behaviorrational functionsattractive cyclesergodic theoremsmall perturbationsRiemann sphererandom iterationiterates
Topological dynamics (37B99) Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Local and nonlocal bifurcation theory for dynamical systems (37G99)
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Cites Work
- Asymptotic behaviors of dynamical systems with random parameters
- Quasiconformal homeomorphisms and dynamics. I: Solution of the Fatou- Julia problem on wandering domains
- On iterations of \(1-\alpha x^2\) on \((-1,1)\)
- Sensitive dependence to initial conditions for one dimensional maps
- Structure of mappings of an interval with zero entropy
- Small random perturbations of dynamical systems and the definition of attractors
- Invariant sets under iteration of rational functions
- Stable Orbits and Bifurcation of Maps of the Interval
