Non-i.i.d. random holomorphic dynamical systems and the probability of tending to infinity
Non-i.i.d. random holomorphic dynamical systems and the probability of tending to infinity
We consider random holomorphic dynamical systems on the Riemann sphere whose choices of maps are related to Markov chains. Our motivation is to generalize the facts which hold in i.i.d. random holomorphic dynamical systems. In particular, we focus on the function which represents the probability of tending to infinity. We …