On the Variational Principle for Generalized Gibbs Measures

Aernout van Enter, Evgeny Verbitskiy

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Abstract

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.
Original languageEnglish
Number of pages24
JournalArXiv
Publication statusPublished - 2004

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