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cs.DM2025
Spectral Independence and Local-to-Global Techniques for Optimal Mixing of Markov Chains
Zongchen Chen, Daniel Stefankovic, Eric Vigoda
This monograph is an exposition on an exciting new technique known as spectral independence, which has been instrumental in analyzing the convergence rate of Markov Chain Monte Car…
cs.DM2024
Optimal Mixing via Tensorization for Random Independent Sets on Arbitrary Trees
Charilaos Efthymiou, Thomas P. Hayes, Daniel Stefankovic +1
We study the mixing time of the single-site update Markov chain, known as the Glauber dynamics, for generating a random independent set of a tree. Our focus is obtaining optimal co…