Tempering chains achieve polynomial spectral gap lower bounds of order 11-12 for multimodal Gibbs measures without explicit energy landscape structure.
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A genus-preserving chord swap Markov chain on chord diagrams is shown to mix in polynomial time for any fixed genus.
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Rapid convergence of tempering chains to multimodal Gibbs measures
Tempering chains achieve polynomial spectral gap lower bounds of order 11-12 for multimodal Gibbs measures without explicit energy landscape structure.
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Polynomial mixing for polygonal side matchings
A genus-preserving chord swap Markov chain on chord diagrams is shown to mix in polynomial time for any fixed genus.