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

Thomas Mountford () and Glauco Valle ()
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Thomas Mountford: École Polytechnique Fédérale
Glauco Valle: Universidade Federal do Rio de Janeiro

Journal of Theoretical Probability, 2019, vol. 32, issue 1, 282-302

Abstract: Abstract We 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.

Keywords: Fredrickson–Andersen model; Non-attractive; Spin system; Convergence to equilibrium; 60K35 (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s10959-018-0812-6

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