On the Possible Failure of the Gibbs Property for Measures on Lattice Systems

A.C.D. van Enter

1996, v.2, Issue 1, 209-224


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.

Keywords: non-Gibbsian measures,quasilocality violations,renormalization-group maps


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