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### Distribution of Aligned Letter Pairs in Optimal Alignments of Random Sequences

Abstract:

Considering the optimal alignment of two i.i.d. random sequences of length $n$, we show that when the scoring function is chosen randomly, almost surely the empirical distribution of aligned letter pairs in all optimal alignments converges to a unique limiting distribution as $n$ tends to infinity. This result is interesting because it helps understanding the microscopic path structure of a special type of last passage percolation problem with correlated weights, an area of long-standing open...

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### Authors

Publisher:
Annals of Probability
Publication date:
2012-11-01
UUID:
uuid:5c32bc2b-dd48-4041-bcf5-9eedeaee7b37
Local pid:
oai:eprints.maths.ox.ac.uk:1625
Deposit date:
2012-11-25