A phase transition in the random transposition random walk

Our work is motivated by Bourque-Pevzner's simulation study of the effectiveness of the parsimony method in studying genome rearrangement, and leads to a surprising result about the random transposition walk in continuous time on the group of permutations on $n$ elements starting from the ident...

Full description

Bibliographic Details
Main Authors: Nathanael Berestycki, Rick Durrett
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2003-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/3343/pdf