Question: Let {X, n 0} be a Markov process for which X is uniform on (0, 1) and, conditional on X, (ax +1- with probability X

Let {X, n 0} be a Markov process for which X is uniform on (0, 1) and, conditional on X, (ax +1- with probability X +1 = Laxn with probability 1 - X where 0 < a <1. Discuss the limiting properties of the sequence X, n 1.

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