Durieu, Olivier - In: Statistics & Probability Letters 83 (2013) 11, pp. 2454-2458
We consider a Markov chain obtained by random iterations of Lipschitz maps Ti chosen with a probability pi(x) depending on the current position x. We assume this system has a property of “contraction on average”, that is ∑id(Tix,Tiy)pi(x)ρd(x,y) for some ρ1. In the present note, we study...