- 95-542 Aernout C.D. van Enter
- Ill-defined block-spin transformations at arbitrarily high temperatures.
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.