Exponential decay of derivatives of covariance operators on the lattice |
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Authors: | Florin Constantinescu Berthold Ströter |
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Institution: | Institut für Angewandte Mathematik der Johann Wolfgang Goethe-Universität, Frankfurt am Main, F.R.G. |
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Abstract: | We prove exponential decay for derivatives of covariance operators on the lattice. This result is obtained by using random walk methods on the v-dimensional lattice and a certain estimate on the generating function of the one-dimensional random walk. The result is useful in the frame of the cluster and mean field expansion of continuous spin models on the lattice. |
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