Rapid Convergence to equilibrium in Ferromagnetic Stochastic Ising ModelsRapid Convergence to equilibrium in Ferromagnetic Stochastic Ising Models

Authors

  • Richard Holley Department of Mathematics, University of Colorado

DOI:

https://doi.org/10.11606/resimeusp.v1i2/3.74566

Keywords:

Stochastic ising model, Fast convergence to equilibrium, Mixing conditions.

Abstract

This is a review of what is known about exponentially fast convergence to equilibrium in finite range attractive Stochastic Ising Models. The main goal of this review is to explain t.he necessary and sufficient condition for fast convergence, that has recently been proven by Martinelli and Olivieri. All of the necessary background is explained so that this review is self contained.

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How to Cite

Rapid Convergence to equilibrium in Ferromagnetic Stochastic Ising ModelsRapid Convergence to equilibrium in Ferromagnetic Stochastic Ising Models. (2014). Resenhas Do Instituto De Matemática E Estatística Da Universidade De São Paulo, 1(2/3), 131-149. https://doi.org/10.11606/resimeusp.v1i2/3.74566