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Sep 8, 2022 at 17:46 history edited Yuval Peres CC BY-SA 4.0
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Sep 8, 2022 at 17:44 comment added Yuval Peres @NawafBou-Rabee And thank you for sharing your perspective on this important problem.
Sep 8, 2022 at 9:36 comment added Nawaf Bou-Rabee Thanks for taking the time to share this review; glad you highlighted the comment by @JamesMartin, which is important in practice and sometimes overlooked: one would indeed need that each step of the chain be implementable in poly time for the mixing time result to be of much value. I guess per step of Glauber is $O(1)$ and Swendsen-Wang is $O(n)$.
Sep 8, 2022 at 6:55 history answered Yuval Peres CC BY-SA 4.0