Variational Principle for Some Renormalized Measures

Author: Lefevere R.  

Publisher: Springer Publishing Company

ISSN: 0022-4715

Source: Journal of Statistical Physics, Vol.96, Iss.1-2, 1999-07, pp. : 109-133

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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.