95-542 Aernout C.D. van Enter

Ill-defined block-spin transformations at arbitrarily high temperatures. (22K, latex) Dec 21, 95

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Abstract. Examples are presented of block-spin transformations which map the Gibbs measures of the Ising model in two or more dimensions at temperature intervals extending to arbitrarily high temperatures onto non-Gibbsian measures. In this way we provide the first example of this kind of pathology for very high temperatures, and as a corollary also the first example of such a pathology happening at a critical point.

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