Geometry of Markov Systems and Codimension-One Foliations


We show that the theory of graph directed systems can be used to study exceptional minimal sets of some foliated manifolds. A C1−smooth embedding of a contractible parabolically Markov system into a holonomy pseudogroup of codimension one foliation allows us to describe in details the h-dimensional Haussdorff and packing measures of the intersection of the… (More)