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Mixing Times for Markov Chains on Wreath Products and Related Homogeneous Spaces

Dublin Core		PKP Metadata Items	Metadata for this Document
1.	Title	Title of document	Mixing Times for Markov Chains on Wreath Products and Related Homogeneous Spaces
2.	Creator	Author's name, affiliation, country	James Allen Fill; The Johns Hopkins University
2.	Creator	Author's name, affiliation, country	Clyde H. Schoolfield, Jr.; Harvard University
3.	Subject	Discipline(s)	Mathematics
3.	Subject	Keyword(s)	Markov chain, random walk, rate of convergence to stationarity, mixing time, wreath product, Bernoulli-Laplace diffusion, complete monomial group, hyperoctahedral group, homogeneous space, Möbius inversion.
3.	Subject	Subject classification	Primary 60J10, 60B10; secondary 20E22
4.	Description	Abstract	We develop a method for analyzing the mixing times for a quite general class of Markov chains on the complete monomial group $G \wr S_n$ and a quite general class of Markov chains on the homogeneous space $(G\wr S_n) / (S_r\times S_{n-r})$. We derive an exact formula for the $L^2$ distance in terms of the $L^2$ distances to uniformity for closely related random walks on the symmetric groups $S_j$ for $1 \leq j \leq n$ or for closely related Markov chains on the homogeneous spaces $S_{i+j}/ (S_i~\times~S_j)$ for various values of $i$ and $j$, respectively. Our results are consistent with those previously known, but our method is considerably simpler and more general.
5.	Publisher	Organizing agency, location
6.	Contributor	Sponsor(s)
7.	Date	(YYYY-MM-DD)	2001-04-23
8.	Type	Status & genre	Peer-reviewed Article
8.	Type	Type
9.	Format	File format	PDF
10.	Identifier	Uniform Resource Identifier	http://ejp.ejpecp.org/article/view/84
10.	Identifier	Digital Object Identifier	10.1214/EJP.v6-84
11.	Source	Journal/conference title; vol., no. (year)	Electronic Journal of Probability; Vol 6
12.	Language	English=en	en
14.	Coverage	Geo-spatial location, chronological period, research sample (gender, age, etc.)
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