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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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  • 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
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  • 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
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