Cutoff for the Swendsen–Wang dynamics on the lattice

Danny Nam
Danny Nam

ANNALS OF PROBABILITY, pp. 3705.0-3761.0, 2019.

Cited by: 0|Bibtex|Views4|DOI:https://doi.org/10.1214/19-AOP1344
Other Links: academic.microsoft.com|arxiv.org

Abstract:

We study the Swendsen-Wang dynamics for the q-state Potts model on the lattice. Introduced as an alternative algorithm of the classical single-site Glauber dynamics, the Swendsen-Wang dynamics is a nonlocal Markov chain that recolors many vertices at once based on the random-cluster representation of the Potts model. In this work, we esta...More

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