Abstract
We show that some measures suffering from the so-called renormalization group pathologies satisfy a variational principle and that the corresponding limit of the pressure, with boundary conditions in a set of measure 1, is equal to the pressure of the Ising model modulo a scale factor.
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Lefevere, R. Variational Principle for Some Renormalized Measures. Journal of Statistical Physics 96, 109–133 (1999). https://doi.org/10.1023/A:1004568315437
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DOI: https://doi.org/10.1023/A:1004568315437