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Swendsen-Wang dynamics for the Potts model was proposed in the late 1980's as an alternative to single-site heat-bath dynamics, in which global updates allow this MCMC sampler to switch between metastable states and ideally mix faster.
Time-dependent statistics of the Ising model
R. J. Glauber · 1963
Earlier work this paper cites.
Nonuniversal critical dynamics in monte carlo simulations
R. H. Swendsen and J.-S. Wang · 1987
Earlier work this paper cites.
Generalization of the Fortuin-Kasteleyn-Swendsen-Wang representation and Monte Carlo algorithm
R. G. Edwards and A. D. Sokal · 1988
Earlier work this paper cites.
The random-cluster model on the complete graph
B. Bollobás, G. Grimmett, and S. Janson · 1996
Earlier work this paper cites.
Graphical representations and cluster algorithms i. discrete spin systems
L. Chayes and J. Machta · 1997
Earlier work this paper cites.
The Swendsen-Wang process does not always mix rapidly
V. K. Gore and M. R. Jerrum · 1997
Earlier work this paper cites.
Torpid mixing of some monte carlo markov chain algorithms in statistical physics
C. Borgs, J. Chayes, A. Frieze, J. H. Kim, P. Tetali, E. Vigoda, and V. H. Vu · 1999
Earlier work this paper cites.
Mixing properties of the Swendsen-Wang process on the complete graph and narrow grids
C. Cooper, M. E. Dyer, A. M. Frieze, and R. Rue · 2000
Cited alongside, same era.
Random Graphs
S. Janson, T. Luczak, and A. Rucinski · 2000
Cited alongside, same era.
The phase transition in the cluster-scaled model of a random graph
M. Luczak and T. Łuczak · 2006
Cited alongside, same era.
Markov chains and mixing times
D. A. Levin, Y. Peres, and E. L. Wilmer · 2009
Cited alongside, same era.
Dynamic critical behavior of the chayes–machta algorithm for the random-cluster model, i. two dimensions
T. M. Garoni, G. Ossola, M. Polin, and A. D. Sokal · 2011
Cited alongside, same era.
Tight bounds for mixing of the Swendsen-Wang algorithm at the Potts transition point
C. Borgs, J. T. Chayes, and P. Tetali · 2012
Cited alongside, same era.
Comparison of Swendsen-Wang and heat-bath dynamics
M. Ullrich · 2013
Later among the works it cites.
A power law of order 1 / 4 1/4 for critical mean field Swendsen-Wang dynamics
Y. Long, A. Nachmias, W. Ning, and Y. Peres · 2014
Later among the works it cites.
Dynamics for the mean-field random-cluster model
A. Blanca and A. Sinclair · 2015
Later among the works it cites.
Swendsen-Wang Algorithm on the Mean-Field Potts Model
A. Galanis, D. Štefankovic, and E. Vigoda · 2015
Later among the works it cites.
Mixing times of critical 2D Potts models
R. Gheissari and E. Lubetzky · 2016
Later among the works it cites.
Random cluster dynamics for the Ising model is rapidly mixing
H. Guo and M. Jerrum · 2017
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Glauber dynamics for the mean-field Potts model
P. Cuff, J. Ding, O. Louidor, E. Lubetzky, Y. Peres, and A. Sly · 2012
Cited alongside, same era.