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math.PR/0111274

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Title: Ornstein-Zernike Theory for the finite range Ising models above T_c
Authors: M. Campanino, D. Ioffe, Y. Velenik
Categories: math.PR Probability Theory (physics.math-ph Mathematical Physics; physics.stat-mech Statistical Mechanics)
Comments: 36 pages, 5 figures
MSC: 60F15;60K15;60K35;82B20;37C30

Abstract: We derive precise Ornstein-Zernike asymptotic formula for the decay of the two-point function in the general context of finite range Ising type models on Z^d. The proof relies in an essential way on the a-priori knowledge of the strict exponential decay of the two-point function and, by the sharp characterization of phase transition due to Aizenman, Barsky and Fernandez, goes through in the whole of the high temperature region T > T_c. As a byproduct we obtain that for every T > T_c, the inverse correlation length is an analytic and strictly convex function of direction.

Owner: Yvan Velenik
Version 1: Tue, 27 Nov 2001 08:41:02 GMT

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