Finitary coding for the one-dimensional \(T,T^{-1}\) process with drift. (Q1433888)

The paper deals with \(T,T^{-1}\) processes associated with arbitrary random walks on \(Z^d\). One shows that, for a simple random walk with positive drift in one dimension, there is a finitary isomorphism from a finite state i.d.d. process to the corresponding \(T,T^{-1}\) process. To this end, one constructs a suitable countable state Markov chain, and then one constructs a finitary isomorphism from this Markov chain.