Open Access
April 1996 On random random walks
Yuval Roichman
Ann. Probab. 24(2): 1001-1011 (April 1996). DOI: 10.1214/aop/1039639375


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.


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Yuval Roichman. "On random random walks." Ann. Probab. 24 (2) 1001 - 1011, April 1996.


Published: April 1996
First available in Project Euclid: 11 December 2002

zbMATH: 0912.60016
MathSciNet: MR1404541
Digital Object Identifier: 10.1214/aop/1039639375

Primary: 60B15
Secondary: 05C12 , 05C25 , 60J15

Keywords: Cayley graphs , diameters , finite groups , Random walk

Rights: Copyright © 1996 Institute of Mathematical Statistics

Vol.24 • No. 2 • April 1996
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