Path: utzoo!utgpu!news-server.csri.toronto.edu!mailrus!tut.cis.ohio-state.edu!zaphod.mps.ohio-state.edu!usc!ucsd!ucbvax!agate!cartan.berkeley.edu!propp
From: propp@cartan.berkeley.edu (James Propp)
Newsgroups: comp.theory.dynamic-sys
Subject: variants of Krieger's theorem
Message-ID: <1990Jun7.201908.26314@agate.berkeley.edu>
Date: 7 Jun 90 20:19:08 GMT
Sender: usenet@agate.berkeley.edu (USENET Administrator;;;;ZU44)
Reply-To: propp@cartan.berkeley.edu (James Propp)
Organization: University of California, Berkeley
Lines: 11

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)