Mixing Times of Markov Chains
Spectral gap, conductance, and cutoff phenomena.
Mixing Times of Markov Chains. Spectral gap, conductance, and cutoff phenomena.
Foundations and canonical references
The standard treatments of mixing times of markov chains approach the subject from complementary angles. Levin, Markov Chains and Mixing Times (2017) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for mixing times of markov chains include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2017Markov Chains and Mixing Timeslevin-david-2017, peres-yuval-2017, wilmer-2017
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