98-596 J. L. Lebowitz (lebowitz@math.rutgers.edu), A. Mazel, (mazel@math.rutgers.edu)

Improved Peierls Argument for High Dimensional Ising Models (22K, TeX) Sep 10, 98

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Abstract. We consider the low temperature expansion for the Ising model on $\Z^d$, $d \ge 2$, with ferromagnetic nearest neighbor interactions in terms of Peierls contours. We prove that the expansion converges for all temperatures smaller than $C d (\log d)^{-1}$, which is the correct order in $d$.

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