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I am trying to find if in active research in statistics, there is interest in mixing times, cover times of graphs, and/or the discrete Gaussian free field?

I haven't found anything so far for the cover time and the discrete gaussian free field. Mixing times give information on the duration of Markov Chain Monte Carlo, but I haven't seen this used in recent research.

Many thanks!

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The annals paper of Ding-Lee-Peres is a good start: http://annals.math.princeton.edu/2012/175-3/p08 or https://arxiv.org/abs/1004.4371

Further progress is in solo work of Ding https://arxiv.org/abs/1103.4402

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