Adic

For any adic transformation T defined on the path space X of an ordered Bratteli diagram, endowed with a Markov measure #92;mu, we construct an explicit dimension space (which corresponds to a matrix values random walk on #92;mathbb#123;Z#125;) whose Poisson boundary can be identified as a #92;mathbb#123;Z#125;-space with the dynamical system (X,#92;mu,T).