2015, , Thierry Giordano, David Handelman, Radu B. Munteanu, Nonsingular transformations and dimension spaces, For any adic transformation defined on the path space of an ordered Bratteli diagram, endowed with a Markov measure , we construct an explicit dimension space (which corresponds to a matrix values random walk on ) whose Poisson boundary can be identified as a -space with the dynamical system .
