2 papers
cs.DS2026
A Spectral Local-to-Global Principle for Spin Systems on Graphs with Girth At Least Five
Xiaoyu Chen, Kuikui Liu
It is proved that, for every , the Glauber dynamics for the uniform distribution on proper -colorings is rapidly mixing when and the underlying graph…
cs.DS2026
Subquadratic Counting via Perfect Marginal Sampling
Xiaoyu Chen, Zongchen Chen, Kuikui Liu +1
We study the computational complexity of approximately computing the partition function of a spin system. Techniques based on standard counting-to-sampling reductions yield $\tilde…