- 96-92 Aernout C.D. van Enter
- On the possible failure of the Gibbs property for measures on lattice
Mar 25, 96
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Abstract. We review results which have been obtained in the last few years on the
topic whether various measures of physical interest, defined on lattice
systems have the Gibbs property or not. Most of the measures we consider
occur either within renormalization-group theory or within models of
non-equilibrium statistical mechanics. In renormalization-group theory
examples we discuss in particular the uniqueness regime and the critical
regime. Moreover we consider the question how severely the Gibbs property is
violated in various examples.
Dedicated to the memory of R.L.Dobrushin.