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Diffraction spectrum of lattice gas models above Tc

Michael Baake, Bernd Sing

math-pharXiv:math-ph/0405064

Abstract

The diffraction spectra of lattice gas models on Zd with finite-range ferromagnetic two-body interaction above Tc or with certain rates of decay of the potential are considered. We show that these diffraction spectra almost surely exist, are Zd-periodic and consist of a pure point part and an absolutely continuous part with continuous density.

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