On the Variational Principle for Generalized Gibbs Measures

Details On the Variational Principle for Generalized Gibbs Measures On the Variational Principle for Generalized Gibbs Measures

2004-10-25

arxiv.org/abs/math-ph/0410052v1

Markov Processes Related Fields 10, p411-434, 2004

Physics

Mathematical Physics

To appear in Markov Processes and Related Fields, Proceedings workshop Gibbs-nonGibbs

Scientific paper

We present a novel approach to establishing the variational principle for Gibbs and generalized (weak and almost) Gibbs states. Limitations of a thermodynamical formalism for generalized Gibbs states will be discussed. A new class of intuitively weak 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.

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