The random geometry of equilibrium phases
Probability
2016-09-07 v1 Mathematical Physics
math.MP
Abstract
This is a (long) survey about applications of percolation theory in equilibrium statistical mechanics. The chapters are as follows: 1. Introduction 2. Equilibrium phases 3. Some models 4. Coupling and stochastic domination 5. Percolation 6. Random-cluster representations 7. Uniqueness and exponential mixing from non-percolation 8. Phase transition and percolation 9. Random interactions 10. Continuum models
Cite
@article{arxiv.math/9905031,
title = {The random geometry of equilibrium phases},
author = {H. -O. Georgii and O. Häggström and C. Maes},
journal= {arXiv preprint arXiv:math/9905031},
year = {2016}
}
Comments
118 pages. Addresses: [email protected] http://www.mathematik.uni-muenchen.de/~georgii.html [email protected] http://www.math.chalmers.se/~olleh [email protected]