Pressure and equilibrium measures for actions of amenable groups on the space of configurations
Journal Article
·
· Sbornik. Mathematics
- M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, Moscow (Russian Federation)
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{sup G}, |S|<{infinity}, and for any closed invariant set X subset of S{sup 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 Foelner sequence of sets in G). The existence of an equilibrium measure is established. Bibliography: 8 titles.
- OSTI ID:
- 21592558
- Journal Information:
- Sbornik. Mathematics, Journal Name: Sbornik. Mathematics Journal Issue: 3 Vol. 202; ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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