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- W4387559230 abstract "Glauber dynamics of the Ising model on a random regular graph is known to mix fast below the tree uniqueness threshold and exponentially slowly above it. We show that Kawasaki dynamics of the canonical ferromagnetic Ising model on a random $d$-regular graph mixes fast beyond the tree uniqueness threshold when $d$ is large enough (and conjecture that it mixes fast up to the tree reconstruction threshold for all $dgeq 3$). This result follows from a more general spectral condition for (modified) log-Sobolev inequalities for conservative dynamics of Ising models. The proof of this condition in fact extends to perturbations of distributions with log-concave generating polynomial." @default.
- W4387559230 created "2023-10-12" @default.
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- W4387559230 date "2023-10-06" @default.
- W4387559230 modified "2023-10-17" @default.
- W4387559230 title "Kawasaki dynamics beyond the uniqueness threshold" @default.
- W4387559230 doi "https://doi.org/10.48550/arxiv.2310.04609" @default.
- W4387559230 hasPublicationYear "2023" @default.
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