94-293 van Enter A.C.D., Fern\'andez R., Koteck\'y R.

Pathological Behavior of Renormalization-Group Maps at High Fields and Above the Transition Temperature, (83K, LaTeX) Sep 21, 94

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Abstract. We show that decimation transformations applied to high-$q$ Potts models result in non-Gibbsian measures even for temperatures higher than the transition temperature. We also show that majority transformations applied to the Ising model in a very strong field at low temperatures produce non-Gibbsian measures. This shows that pathological behavior of renormalization-group transformations is even more widespread than previous examples already suggested.

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