On random random walks.

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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.
Original languageAmerican English
Pages (from-to)1001-1011
JournalAnnals of Probability
StatePublished - 1996


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