A phase transition in the random transposition random walk
نویسندگان
چکیده
منابع مشابه
A phase transition in the random transposition random walk
Our work is motivated by Bourque and Pevzner’s (2002) simulation study of the effectiveness of the parsimony method in studying genome rearrangement, and leads to a surprising result about the random transposition walk on the group of permutations on n elements. Consider this walk in continuous time starting at the identity and let Dt be the minimum number of transpositions needed to go back to...
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ژورنال
عنوان ژورنال: Probability Theory and Related Fields
سال: 2005
ISSN: 0178-8051,1432-2064
DOI: 10.1007/s00440-005-0479-7