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Article overview
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Pirogov-Sinai Theory With New Contours | | N. N. Ganikhodjaev
; U. A. Rozikov
; | | Date: |
1 Aug 2007 | | Abstract: | In Pirogov-Sinai theory configurations can be described by contours. The
theory allows to establish the existence of several Gibbs measures for a finite
range lattice models on Z^d with two basic properties: the existence of only a
finite number of ground states and realization of the Peierls condition. We
give a new definition of contour which allows relatively easier prove the main
result of the Pirogov-Sinai theory. Namely, our contours allow us to apply the
classical Peierls argument (with contour removal operation) for the above
mentioned models. | | Source: | arXiv, 0708.0067 | | Services: | Forum | Review | PDF | Favorites | |
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