Geodesic
Pressure and equilibrium measures for actions of amenable groups on the space of configurations
Sbornik. Mathematics, Tome 202 (2011) no. 3, pp. 341-350

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The model of statistical physics on a countable amenable group $G$ is considered. For the natural action of $G$ on the space of configurations $S^G$, $|S|\infty$, and for any closed invariant set $X\subset S^G$ we prove that there exists pressure which corresponds to a potential with finite norm on $X$ (in the sense of the limit with respect to any Følner sequence of sets in $G$). The existence of an equilibrium measure is established. Bibliography: 8 titles.
Keywords: thermodynamic formalism, pressure, equilibrium measure.
Mots-clés : amenable group 
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     author = {A. I. Bufetov},
     title = {Pressure and equilibrium measures for actions of amenable groups on the space of configurations},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2011_202_3_a1/}
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A. I. Bufetov. Pressure and equilibrium measures for actions of amenable groups on the space of configurations. Sbornik. Mathematics, Tome 202 (2011) no. 3, pp. 341-350. http://geodesic.mathdoc.fr/item/SM_2011_202_3_a1/