| Abstract: |
| We consider non-i.i.d. random holomorphic dynamical systems whose choice of maps depends on ``Markovian rules. We show that generically, such a system is stable on average or chaotic with full Julia set. This generalizes a result for i.i.d. random dynamical systems of rational maps. We also discuss the bifurcation of minimal sets for certain special families. This is joint work with Hiroki Sumi (Kyoto University). |
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