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A subshift of finite type that is equivalent to the Ising model

Published online by Cambridge University Press:  19 September 2008

Olle Häggström
Olle Häggström
Affiliation:
Chalmers University of Technology, Matematiska institutionen, S-412 96 Göteborg, Sweden
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Abstract

For the Ising model with rational parameters we show how to construct a subshift of finite type that is equivalent to this Ising model, in that the translation invariant Gibbs measures for the Ising model and the measures of maximal entropy for the subshift of finite type can be identified in a natural way. This is generalized to the non-translation invariant case as well. We also show how to construct, given any H > 0, an ergodic measure of maximal entropy for a subshift of finite type and a continuous factor, such that the factor has entropy H.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 15 , Issue 3 , June 1995 , pp. 543 - 556
Copyright
Copyright © Cambridge University Press 1995

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References

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