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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van Enter, A.C.D., Fernández, R. & Kotecký, R. Pathological behavior of renormalization-group maps at high fields and above the transition temeprature. J Stat Phys 79, 969–992 (1995). https://doi.org/10.1007/BF02181211
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DOI: https://doi.org/10.1007/BF02181211