Exponential convergence for the Fredrikson-Andersen one spin facilitated model

2016/09/06 by Thomas Mountford, Glauco Valle, Mountford, Thomas +1
Mathematics · Physics and Astronomy · #60K35 #FOS: Mathematics #Markov Chains and Monte Carlo Methods #Probability (math.PR) #Stochastic processes and statistical mechanics #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.1609.01364

openalex publication_date 2016/09/06 · openalex created_date 2016/09/16 · openalex updated_date 2026/07/28

Abstract

We prove exponential convergence to equilibrium for the Fredrikson-Andersen one spin facilitated model on bounded degree graphs satisfying a subexponential, but larger than polynomial, growth condition. This was a classical conjecture related to non-attractive spin systems. Our proof rely on coupling techniques based on Harris graphical construction for interacting particle systems.

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