Given a factor code Ï€ from a shift of finite type X onto a sofic shift Y , the class degree of Ï€ is defined to be the minimal number of transition classes over the points of Y . In this paper, we investigate the structure of transition classes and present several dynamical properties analogous to the properties of fibers of finite-to-one factor codes. As aâ€¦ (More)

Reem Yassawi: Bratteli diagrams where almost all orders are imperfect. Abstract: An unordered Bratteli diagram can be thought of as a set of partial instructions to build a dynamical system via cutting-and-stacking. The edges of the diagram describe how to " cut " , but we need an order to define how these levels should be " stacked. Any linear order willâ€¦ (More)