Generating a Random Signed Permutation with Random Reversals

Clyde H. Schoolfield ()
Additional contact information
Clyde H. Schoolfield: The University of Florida

Journal of Theoretical Probability, 2005, vol. 18, issue 4, 911-931

Abstract: Signed permutations form a group known as the hyperoctahedral group. We bound the rate of convergence to uniformity for a certain random walk on the hyperoctahedral group that is generated by random reversals. Specifically, we determine that O(n log n) steps are both necessary and sufficient for total variation distance and ℓ2 distance to become small. This random walk arose as the result of an effort in molecular biology to model certain types of genome rearrangements.

Keywords: Random walk; Markov chain; wreath product; hyperoctahedral group; Fourier transform; comparison technique. (search for similar items in EconPapers)
Date: 2005
References: Add references at CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10959-005-7532-4 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jotpro:v:18:y:2005:i:4:d:10.1007_s10959-005-7532-4

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/10959

DOI: 10.1007/s10959-005-7532-4

Access Statistics for this article

Journal of Theoretical Probability is currently edited by Andrea Monica

More articles in Journal of Theoretical Probability from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().