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Mixing properties of the Swendsen–Wang process on the complete graph and narrow grids

Mixing properties of the Swendsen–Wang process on the complete graph and narrow grids

We consider the mixing properties of the Swendsen–Wang process for the two-state Potts model or Ising model, on the complete n vertex graph Kn and for the Q-state model on an a×n grid where a is bounded as n→∞.