A Sharp Tail Bound for the Expander Random Sampler
arXiv: Probability, Volume abs/1703.10205, 2017.
Consider an expander graph in which a $mu$ fraction of the vertices are marked. A random walk starts at a uniform vertex and at each step continues to a random neighbor. Gillman showed in 1993 that the number of marked vertices seen in a random walk of length $n$ is concentrated around its expectation, $Phi := mu n$, independent of the si...More
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