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American Mathematical Society A Power Law of Order 1/4 for Critical Mean Field Swendsen-wang Dynamics (Memoirs of the American Mathematical Society)

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Description

The Swendsen-Wang dynamics is a Markov chain widely used by physicists to sample from the Boltzmann-Gibbs distribution of the Ising model. Cooper, Dyer, Frieze and Rue proved that on the complete graph Kn the mixing time of the chain is at most O(Ön) for all non-critical temperatures. In this paper the authors show that the mixing time is Q(1) in high temperatures, Q(log n) in low temperatures and Q(n 1/4) at criticality. They also provide an upper bound of O(log n) for Swendsen-Wang dynamics for the q-state ferromagnetic Potts model on any tree of n vertices.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
24 October 2014
Listed Since
14 August 2014

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