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arXiv · 2409.07892

Rapid mixing of the flip chain over non-crossing spanning trees

Konrad Anand·Weiming Feng·Graham Freifeld·Heng Guo·Mark Jerrum·Jiaheng Wang
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Abstract

We show that the flip chain for non-crossing spanning trees of $n+1$ points in convex position mixes in time $O(n^8\log n)$. We use connections between Fuss-Catalan structures to construct a comparison argument with a chain similar to Wilson's lattice path chain (Wilson 2004).

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Konrad Anand, Weiming Feng, Graham Freifeld, Heng Guo, Mark Jerrum, Jiaheng Wang. 2024-09-12. Rapid mixing of the flip chain over non-crossing spanning trees. https://arxiv.org/abs/2409.07892

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