On the Variational Principle for Generalized Gibbs Measures

E.A. Verbitskiy, A.C.D. van Enter

2004, v.10, №3, 411-434


We present a novel approach to establishing the variational principle for Gibbs and generalized (weak and almost) Gibbs states. Limitations of a thermodynamic formalism for generalized Gibbs states will be discussed. A new class of intuitively Gibbs measures is introduced, and a typical example is studied. Finally, we present a new example of a non-Gibbsian measure arising from an industrial application.

Keywords: Gibbs versus non-Gibbs,generalized Gibbs measures,variationalprinciple,relative entropy density


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