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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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Necessary and sufficient conditions for the $\textrm {GHS}$ inequality with applications to analysis and probability
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by Richard S. Ellis and Charles M. Newman PDF
Trans. Amer. Math. Soc. 237 (1978), 83-99 Request permission

Abstract:

The GHS inequality is an important tool in the study of the Ising model of ferromagnetism (a model in equilibrium statistical mechanics) and in Euclidean quantum field theory. This paper derives necessary and sufficient conditions on an Ising spin system for the GHS inequality to be valid. Applications to convexity-preserving properties of certain differential equations and diffusion processes are given.
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Additional Information
  • © Copyright 1978 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 237 (1978), 83-99
  • MSC: Primary 26A84; Secondary 35K99, 60J99, 82.60
  • DOI: https://doi.org/10.1090/S0002-9947-1978-0492131-8
  • MathSciNet review: 0492131