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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Communicated by J. L. Lebowitz
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van Enter, A.C.D. Ill-defined block-spin transformations at arbitrarily high temperatures. J Stat Phys 83, 761–765 (1996). https://doi.org/10.1007/BF02183748
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DOI: https://doi.org/10.1007/BF02183748