Exponential Convergence for the Fredrickson-Andersen One-Spin Facilitated Model

Mountford, ThomasValle, Glauco2019-06-182019-06-182019-06-182019-03-0110.1007/s10959-018-0812-6https://infoscience.epfl.ch/handle/20.500.14299/157152WOS:000458258800012We prove exponential convergence to equilibrium for the Fredrickson-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 relies on coupling techniques based on Harris graphical construction for interacting particle systems.Statistics & ProbabilityMathematicsfredrickson-andersen modelnon-attractivespin systemconvergence to equilibriumpercolationExponential Convergence for the Fredrickson-Andersen One-Spin Facilitated Modeltext::journal::journal article::research article