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On the Variational Principle for Generalized Gibbs Measures

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

math-pharXiv:math-ph/0410052

Abstract

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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