On random random walks

Yuval Roichman

doi:10.1214/aop/1039639375

On random random walks

Yuval Roichman

Harvard University

Research output: Contribution to journal › Article › peer-review

11 Scopus citations

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.

Original language	English
Pages (from-to)	1001-1011
Number of pages	11
Journal	Annals of Probability
Volume	24
Issue number	2
DOIs	https://doi.org/10.1214/aop/1039639375
State	Published - Apr 1996
Externally published	Yes

Keywords

Cayley graphs
Diameters
Finite groups
Random walk

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10.1214/aop/1039639375

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AB - 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.

KW - Cayley graphs

KW - Diameters

KW - Finite groups

KW - Random walk

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JO - Annals of Probability

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On random random walks

Abstract

Keywords

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