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On the Variational Principle for Generalized Gibbs Measures

2004/10/25 by A. C. D. van Enter, E. A. Verbitskiy
Physics and Astronomy · Mathematics · #math-ph #math.MP #msc:82B20

paper · pdf

published as Markov Processes Related Fields 10, p411-434, 2004 · To appear in Markov Processes and Related Fields, Proceedings workshop Gibbs-nonGibbs

arxiv created 2004/10/25 · arxiv updated 2009/12/01

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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