(Enter summary)
Abstract: We consider the mixing properties o the Swendsen-Wang process or the 2state
Potts model or Ising model, on the complete n vertex graph Kn and for the
Q-state model on an a x n grid where a is bounded as n -- . (Update)
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BibTeX entry: (Update)
Cooper, C., Dyer, M., Frieze, A., and Rue, R. (2000). Mixing Properties of the Swendsen-Wang process on the complete graph and narrow grids. Journal of Mathematical Physics 41, 1499--1527. http://citeseer.ist.psu.edu/cooper00mixing.html More
@article{ cooper00mixing,
author = "Colin Cooper and Martin E. Dyer and Alan M. Frieze and Rachel Rue",
title = "Mixing properties of the {Swendsen--Wang} process on the complete graph and narrow grids",
journal = "Journal of Mathematical Physics",
volume = "41",
number = "3",
pages = "1499--1527",
year = "2000",
url = "citeseer.ist.psu.edu/cooper00mixing.html" }
Citations (may not include all citations):
957
The Probabilistic Method (context) - Alon, Spencer - 1992
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Reversible Markov Chains and Random Walks on Graphs (context) - Aldous, Fill
49
Path Coupling: A technique for proving rapid mixing in Marko.. (context) - Bubley, Dyer - 1997
39
Transactions of the American Mathematical Society (context) - Bollobs, of et al. - 1984
6
Torpid mixing of some MCMC algorithms in Statistical Physics (context) - Borgs, Chayes et al.
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