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Almost isomorphism for countable state Markov shifts
-
Mike Boyle
,
Jerome Buzzi
Published/Copyright:
May 4, 2006
Abstract
Countable state Markov shifts are a natural generalization of the well-known subshifts of finite type. They are the subject of current research both for their own sake and as models for smooth dynamical systems. In this paper, we investigate their almost isomorphism and entropy conjugacy and obtain a complete classification for the especially important class of strongly positive recurrent Markov shifts. This gives a complete classification up to entropy-conjugacy of the natural extensions of smooth entropy-expanding maps, e.g., C∞ smooth interval maps with non-zero topological entropy.
Received: 2004-09-28
Revised: 2005-02-14
Published Online: 2006-05-04
Published in Print: 2006-03-24
© Walter de Gruyter
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Articles in the same Issue
- Lines on projective hypersurfaces
- Almost isomorphism for countable state Markov shifts
- Inhomogeneous and Euclidean spectra of number fields with unit rank strictly greater than 1
- On the growth rate of the tunnel number of knots
- Signature homology
- On the structure of cofree Hopf algebras
- Exponential product approximation to the integral kernel of the Schrödinger semigroup and to the heat kernel of the Dirichlet Laplacian
- κ-types and Γ-asymptotic expansions
