Abstract
We estimate the expected mixing time of a random walk on a finite group supported by a random polylogarithmic set of elements. Following the spectral approach of Broder and Shamir, we present an alternative proof of the Dou-Hildebrand estimate and show that it holds almost surely. Good bounds on diameters follow from these results.
Citation
Yuval Roichman. "On random random walks." Ann. Probab. 24 (2) 1001 - 1011, April 1996. https://doi.org/10.1214/aop/1039639375
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