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SODA
2004
ACM

Fast mixing for independent sets, colorings and other models on trees

11 years 7 months ago
Fast mixing for independent sets, colorings and other models on trees
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 results for several models over a significantly wider range of parameter values than previously known, including situations in which the mixing time is strongly dependent on the boundary condition.
Fabio Martinelli, Alistair Sinclair, Dror Weitz
Added 31 Oct 2010
Updated 31 Oct 2010
Type Conference
Year 2004
Where SODA
Authors Fabio Martinelli, Alistair Sinclair, Dror Weitz
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