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Torpid Mixing of Some Monte Carlo Markov Chain Algorithms in Statistical Physics
FOCS, pp.218-218, (1999)
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We study two widely used algorithms, Glauber dynamics and the Swendsen-Wang algorithm, on rectangular subsets of the hypercubic lattice Zd. We prove that under certain circumstances, the mixing time in a box of side length L with periodic boundary conditions can be exponential in Ld-1. In other words, under these circumstances, the mixing...更多
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