propp@cartan.berkeley.edu (James Propp) (06/08/90)
Krieger's Theorem says that any measurable dynamical system of entropy less than log n can be modeled as an invariant measure for the n-shift. Do other symbolic dynamical systems (such as mixing shifts of finite type) have the property that they can model any measurable dynamical system whose entropy is strictly smaller than the topological entropy of the symbolic system? Also: Are analogous results known for Z^2-shifts? Jim Propp (propp@math.berkeley.edu)