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Correlation asymptotics for non-translation invariant lattice spin systems

Oliver Matte

math-pharXiv:math-ph/0609062

Abstract

We obtain asymptotic expressions for the Green kernels of certain non-translation invariant transition matrices using methods of semiclassical and microlocal analysis. Combined with a result by Bach and Møller this yields asymptotic formulas for the truncated two-point correlation functions of certain non-translation invariant lattice models of real-valued spins.

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