arXiv Analytics

Sign in

arXiv:math-ph/0410052AbstractReferencesReviewsResources

On the Variational Principle for Generalized Gibbs Measures

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

Published 2004-10-25Version 1

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.

Comments: To appear in Markov Processes and Related Fields, Proceedings workshop Gibbs-nonGibbs
Journal: Markov Processes Related Fields 10, p411-434, 2004
Categories: math-ph, math.MP
Subjects: 82B20
Related articles: Most relevant | Search more
arXiv:1102.1573 [math-ph] (Published 2011-02-08, updated 2011-04-01)
Quantization of Damping Particle Based On New Variational Principles
arXiv:0710.4790 [math-ph] (Published 2007-10-25)
Variational principle for Hamiltonians with degenerate bottom
arXiv:1402.3110 [math-ph] (Published 2014-02-13)
A variational principle and its application to estimating the electrical capacitance of a perfect conductor