The local central limit theorem for a Gibbs random field |
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| Authors: | M. Campanino D. Capocaccia B. Tirozzi |
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| Affiliation: | (1) Instituto di Matematica !["ldquo"]("/content/h235v464r88471k0/xlarge8220.gif") G. Castelnuovo!["rdquo"]("/content/h235v464r88471k0/xlarge8221.gif") , University of Rome, Italy;(2) Instituto di Matematica, University of Aquila, Italy |
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| Abstract: | ![]()
We extend the validity of the implication of a local limit theorem from an integral one. Our extension eliminates the finite range assumption present in the previous works by using the cluster expansion to analyze the contribution from the tail of the potential. |
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