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most citedOrnstein-Zernike Theory for the finite range Ising models above T_c

70 citations · 472 across the 34 of their papers we have counts for

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math.PR2003★ 6 cited

Rigorous Non-Perturbative Ornstein-Zernike Theory for Ising Ferromagnets

M. Campanino, D. Ioffe, Y. Velenik

We rigorously derive the Ornstein-Zernike asymptotics of the pair-correlation functions for finite-range Ising ferromagnets in any dimensions and at any temperature above critical.

math.PR2003★ 2 cited

Random path representation and sharp correlations asymptotics at high-temperatures

M. Campanino, D. Ioffe, Y. Velenik

We recently introduced a robust approach to the derivation of sharp asymptotic formula for correlation functions of statistical mechanics models in the high-temperature regime. We…