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- W2003628723 abstract "We prove that the spectral gap of the Swendsen--Wang dynamics for the random-cluster model is larger than the spectral gap of a single-bond dynamics, which updates only a single edge per step. For this we give a representation of the algorithms on the joint (Potts/random-cluster) model. Furthermore we obtain upper and lower bounds on the mixing time of the single-bond dynamics on the discrete $d$-dimensional torus of side length $L$ at the Potts transition temperature for $q$ large enough that are exponential in $L^{d-1}$, complementing a result of Borgs, Chayes, and Tetali [Probab. Theory Related Fields, 152 (2012), pp. 509--557]." @default.
- W2003628723 created "2016-06-24" @default.
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- W2003628723 date "2014-01-01" @default.
- W2003628723 modified "2023-10-14" @default.
- W2003628723 title "Swendsen--Wang Is Faster than Single-Bond Dynamics" @default.
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- W2003628723 doi "https://doi.org/10.1137/120864003" @default.
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