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Zero Temperature Limits of Gibbs-Equilibrium States for Countable Alphabet Subshifts of Finite Type |
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| Authors: | O Jenkinson R D Mauldin M Urbański |
| Institution: | (1) School of Mathematical Sciences, Queen Mary, University of London, Mile End Road, London, E1 4NS, UK;(2) Department of Mathematics, University of North Texas, P. O. Box 311430, Denton, TX 76203-1430, USA |
| Abstract: | Let ΣA be a finitely primitive subshift of finite type on a countable alphabet. For appropriate functions f:ΣA → IR, the family of Gibbs-equilibrium states (μtf)t⩾1 for the functions tf is shown to be tight. Any weak*-accumulation point as t→∞ is shown to be a maximizing measure for f. |
| Keywords: | Gibbs state equilibrium state ground state maximizing measure countable alphabet subshift of finite type |
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