Acd. Vanenter et al., PATHOLOGICAL BEHAVIOR OF RENORMALIZATION-GROUP MAPS AT HIGH FIELDS AND ABOVE THE TRANSITION-TEMPERATURE, Journal of statistical physics, 79(5-6), 1995, pp. 969-992
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 ap
plied to the Ising model in a very strong field at low temperatures pr
oduce non-Gibbsian measures. This shows that pathological behavior of
renormalization-group transformations is even more widespread than pre
vious examples already suggested.