Abstract
We investigate Gibbs measures on general subshifts. In particular we show the uniqueness of Gibbs measures as equilibrium states and we construct such measures on other spaces than mixing subshifts of finite type or sofic systems.
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References
Bowen, R.: Some systems with unique equilibrium states. Math. Syst. Theory8, 193–202 (1974).
Bowen, R.: Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms. Lect. Notes Math. 470, Berlin-Heidelberg-New York: Springer 1975.
Bradley, R.: On the ψ-mixing condition for stationary random sequences. Trans. Amer. Math. Soc.276, 55–66 (1983).
Denker, M., Grillenberger, C., Sigmund, K.: Ergodic Theory on Compact Spaces. Lect. Notes Math. 527, Berlin-Heidelberg-New York: Springer. 1976.
Ledrappier, F.: Principe variationel et systèmes dynamiques symboliques. Z. Wahrscheinlichkeitsth. u. verw. Geb.30, 185–202 (1974).
Rees, M.: Checking ergodicity of some geodesic flows with infinite Gibbs measure. Ergod. Th. Dynamical Systems1, 107–133 (1981).
Ruelle, D.: Thermodynamic Formalism. Reading, Mass: Addison-Wesley. 1978.
Weiss, B.: Subshifts of finite type and sofic systems. Mh. Math.77, 462–474 (1973).
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Denker, M. Some new examples of Gibbs measures. Monatshefte für Mathematik 109, 49–62 (1990). https://doi.org/10.1007/BF01298852
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DOI: https://doi.org/10.1007/BF01298852