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Critical Phenomena and Universal Exponents in Statistical Physics. On Dyson's Hierarchical Model

Critical Phenomena and Universal Exponents in Statistical Physics. On Dyson's Hierarchical Model

We are interested in the behavior of Gibbs states at or near the critical temperature. From the point of view of classical probability theory this is a problem about the limit distribution of partial sums of strongly dependent random variables. The problem is very hard in the general case, and …