variants of Krieger's theorem

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#33

From: James Propp
Date: Thu, 07 Jun 1990 20:19

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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)

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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
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