On the correspondence between Subshifts of Finite Type and Statistical Mechanics Models

Luis Armando Corona; Raul Salgado-Garcia; Edgardo Ugalde

doi:10.3390/e24121772

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arXiv · 2104.07503

On the correspondence between Subshifts of Finite Type and Statistical Mechanics Models

Luis Armando Corona·Raul Salgado-Garcia·Edgardo Ugalde

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Abstract

R. Burton and J. Steif developed a strategy to construct examples of strongly irreducible subshifts of finite type admitting several measures of maximal entropy. This strategy exploits a correspondence between equilibrium statistical mechanics and symbolic dynamics, correspondence which was later formalized by O. Häggström. In this paper, we revisit and discuss this correspondence with the aim of presenting a simplified version of it, and to expose some applications of rigorous results concerning the Potts model and the six-vertex model to symbolic dynamics, illustrating in this way of the possibilities of this correspondence.

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Luis Armando Corona, Raul Salgado-Garcia, Edgardo Ugalde. 2022-10-20. On the correspondence between Subshifts of Finite Type and Statistical Mechanics Models. https://doi.org/10.3390/e24121772

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