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Abstract: We study the mixing time of the Glauber dynamics for general spin systems on bounded-degree trees, including the Ising model, the hard-core model (independent sets) and the antiferromagnetic Potts model at zero temperature (colorings). We generalize a framework, developed in our recent paper [18] in the context of the Ising model, for establishing mixing time O(n log n), which ties this property closely to phase transitions in the underlying model. We use this framework to obtain rapid mixing... (Update)
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BibTeX entry: (Update)
@misc{ colorings-fast,
author = "Colorings And Other",
title = "Fast Mixing for Independent Sets,",
url = "citeseer.ist.psu.edu/655979.html" }
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5 A non-Markovian coupling for randomly sampling colorings (context) - HAYES, VIGODA - 2003
4 Information flow on trees (context) - MOSSEL, PERES - 2003
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1 Combinatorial criteria for uniqueness of the Gibbs measure (context) - WEITZ - 2003
1 The Ising model on trees: Boundary conditions and mixing tim.. (context) - MARTINELLI, SINCLAIR et al. - 2003
1 A second threshold for the hard-core model on a Bethe lattic.. - BRIGHTWELL, WINKLER
1 Reconstruction thresholds on regular trees (context) - MARTIN - 2003
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