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Mixing Time of the Rudvalis Shuffle

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Mixing Time of the Rudvalis Shuffle
2.	Creator	Author's name, affiliation, country	David Bruce Wilson; Microsoft Research
3.	Subject	Discipline(s)
3.	Subject	Keyword(s)	Markov chain, card shuffling, mixing time
3.	Subject	Subject classification	60J10, 60C05
4.	Description	Abstract	We extend a technique for lower-bounding the mixing time of card-shuffling Markov chains, and use it to bound the mixing time of the Rudvalis Markov chain, as well as two variants considered by Diaconis and Saloff-Coste. We show that in each case $\Theta(n^3 \log n)$ shuffles are required for the permutation to randomize, which matches (up to constants) previously known upper bounds. In contrast, for the two variants, the mixing time of an individual card is only $\Theta(n^2)$ shuffles.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2003-06-24
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ecp.ejpecp.org/article/view/1071
10.	Identifier	Digital Object Identifier	10.1214/ECP.v8-1071
11.	Source	Journal/conference title; vol., no. (year)	Electronic Communications in Probability; Vol 8
12.	Language	English=en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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