Efficient sampling and counting algorithms for the Potts model on ℤᵈ at all temperatures
STOC '20: 52nd Annual ACM SIGACT Symposium on Theory of Computing Chicago IL USA June, 2020, pp. 738-751, 2020.
For d ≥ 2 and all q≥ q0(d) we give an efficient algorithm to approximately sample from the q-state ferromagnetic Potts and random cluster models on the torus (ℤ / n ℤ )d for any inverse temperature β≥ 0. This stands in contrast to Markov chain mixing time results: the Glauber dynamics mix slowly at and below the critical temperature, and ...More
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