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Concavity of magnetization for a class of even ferromagnets
Author(s):
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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References |
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Additional information
References:
- 1.
- R. S. Ellis and J. L. Monroe, A simple proof of the GHS and further inequalities, Comm. Math. Phys. 41 (1975), 33-38. MR 376053
- 2.
- R. S. Ellis and J. L. Monroe, The GHS and other correlation inequalities for even ferromagnets (in preparation).
- 3.
- J. Glimm, A. Jaffe, and T. Spencer, The particle structure of the weakly coupled $P(\varphi)_2$ model and other applications of high temperature expansions. Part I: Physics of quantum field models, Constructive Quantum Field Theory, G. Velo and A. S. Wightman (editors), Springer-Verlag, New York, 1973, pp. 133-198. MR 395513
- 4.
- R. B. Griffiths, Rigorous results for Ising ferromagnets of arbitrary spin, J. Mathematical Phys. 10 (1969), 1559-1565. MR 41 #1338. MR 256682
- 5.
- R. 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 42 #1412. MR 266507
- 6.
- R. B. Griffiths and B. Simon, The $(\phi \sp{4})\sb{2}$ field theory as a classical Ising model, Comm. Math. Phys. 33 (1975), 145-164. MR 428998
- 7.
- A. Ya. Hinčin, Mathematical foundations of statistical mechanics, OGIZ, Moscow, 1943; English transl., Dover, New York, 1949. MR 8, 187; 10, 666. MR 29808
- 8.
- C. M. Newman, Inequalities for Ising models and field theories which obey the Lee-Yang theorem, Comm. Math. Phys. 41 (1975), 1-9. MR 376061
- 9.
- C. M. Newman, Moment inequalities for ferromagnetic Gibbs distributions, J. Mathematical Phys. (to appear). MR 391853
- 10.
- B. Simon, Approximation of Feynman integrals and Markov fields by spin systems, Proc. Intl. Congress Math., Vancouver, 1974. MR 441161
- 11.
- B. Simon, The $P(\phi )\sb{2}$ Euclidean (quantum) field theory, Princeton Univ. Press, Princeton, N. J., 1974. MR 489552
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Additional Information:
DOI:
10.1090/S0002-9904-1975-13889-4
PII:
S 0002-9904(1975)13889-4
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