English

On the Variational Principle for Generalized Gibbs Measures

Mathematical Physics 2007-05-23 v1 math.MP

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.

Keywords

Cite

@article{arxiv.math-ph/0410052,
  title  = {On the Variational Principle for Generalized Gibbs Measures},
  author = {A. C. D. van Enter and E. A. Verbitskiy},
  journal= {arXiv preprint arXiv:math-ph/0410052},
  year   = {2007}
}

Comments

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