Iterated Random Functions and Slowly Varying Tails

Piotr Dyszewski

Consider a sequence of i.i.d. random Lipschitz functions $\{{\Psi }_n{\}}_{n\ge 0}$. Using this sequence we can define a Markov chain via the recursive formula $R_{n+1}={\Psi }_{n+1}(R_n)$.…