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Semi-Markov Random Walks and Universality in Ising-like Chains

Michel Droz, Max-Olivier Hongler

cond-mat.stat-mecharXiv:cond-mat/9810378

Abstract

We exhibit a one to one correspondence between some universal probabilistic properties of the ordering coordinate of one-dimensional Ising-like models and a class of continuous time random walks. This correspondence provides an new qualitative picture of the properties of the ordering coordinate of the Ising model.

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