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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Equilibrium states of grid functions


Authors: Nelson G. Markley and Michael E. Paul
Journal: Trans. Amer. Math. Soc. 274 (1982), 169-191
MSC: Primary 28D20; Secondary 54H20
MathSciNet review: 670926
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Abstract: It is well known that locally constant functions on symbolic spaces have unique equilibrium states. In this paper we investigate the nature of equilibrium states for a type of continuous function which need not have a finite range. Although most of these functions have a unique equilibrium state, phase transitions or multiple equilibrium states do occur and can be analyzed.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1982-0670926-6
PII: S 0002-9947(1982)0670926-6
Article copyright: © Copyright 1982 American Mathematical Society