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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Equilibrium states of grid functions
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by Nelson G. Markley and Michael E. Paul PDF
Trans. Amer. Math. Soc. 274 (1982), 169-191 Request permission

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.
References
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 274 (1982), 169-191
  • MSC: Primary 28D20; Secondary 54H20
  • DOI: https://doi.org/10.1090/S0002-9947-1982-0670926-6
  • MathSciNet review: 670926