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Concavity of magnetization for a class of even ferromagnets


Author: Richard S. Ellis
Journal: Bull. Amer. Math. Soc. 81 (1975), 925-929
MSC (1970): Primary 82A05, 60K35; Secondary 60E05, 26A51
MathSciNet review: 0376052
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  • 1. Richard S. Ellis and James L. Monroe, A simple proof of the GHS and further inequalities, Comm. Math. Phys. 41 (1975), 33–38. MR 0376053
  • 2. R. S. Ellis and J. L. Monroe, The GHS and other correlation inequalities for even ferromagnets (in preparation).
  • 3. G. Velo and A. Wightman (eds.), Constructive quantum field theory, Springer-Verlag, Berlin-New York, 1973. The 1973 “Ettore Majorana” International School of Mathematical Physics, Erice (Sicily), 26 July–5 August 1973; Lecture Notes in Physics, Vol. 25. MR 0395513
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  • 5. Robert B. Griffiths, C. A. Hurst, and S. Sherman, Concavity of magnetization of an Ising ferromagnet in a positive external field, J. Mathematical Phys. 11 (1970), 790–795. MR 0266507
  • 6. Barry Simon and Robert B. Griffiths, The (𝜑⁴)₂ field theory as a classical Ising model, Comm. Math. Phys. 33 (1973), 145–164. MR 0428998
  • 7. A. I. Khinchin, Mathematical Foundations of Statistical Mechanics, Dover Publications, Inc., New York, N. Y., 1949. Translated by G. Gamow. MR 0029808
  • 8. Charles M. Newman, Inequalities for Ising models and field theories which obey the Lee-Yang theorem, Comm. Math. Phys. 41 (1975), 1–9. MR 0376061
  • 9. Charles M. Newman, Moment inequalities for ferromagnetic Gibbs distributions, J. Mathematical Phys. 16 (1975), no. 9, 1956–1959. MR 0391853
  • 10. Barry Simon, Approximation of Feynman integrals and Markov fields by spin systems, Proceedings of the International Congress of Mathematicians (Vancouver, B. C., 1974) Canad. Math. Congress, Montreal, Que., 1975, pp. 399–402. MR 0441161
  • 11. Barry Simon, The 𝑃(𝜑)₂ Euclidean (quantum) field theory, Princeton University Press, Princeton, N.J., 1974. Princeton Series in Physics. MR 0489552

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DOI: https://doi.org/10.1090/S0002-9904-1975-13889-4