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• W99142712 abstract "Finding analytically the statistics of the longest common subsequence (LCS) of a pair of random sequences drawn from $c$ alphabets is a challenging problem in computational evolutionary biology. We present exact asymptotic results for the distribution of the LCS in a simpler, yet nontrivial, variant of the original model called the Bernoulli matching (BM) model. We show that in the BM model, for all $c$, the distribution of the asymptotic length of the LCS, suitably scaled, is identical to the Tracy-Widom distribution of the largest eigenvalue of a random matrix whose entries are drawn from a Gaussian unitary ensemble." @default.
• W99142712 created "2016-06-24" @default.
• W99142712 creator A5000367020 @default.
• W99142712 creator A5047748977 @default.
• W99142712 date "2005-08-02" @default.
• W99142712 modified "2023-10-15" @default.
• W99142712 title "Exact asymptotic results for the Bernoulli matching model of sequence alignment" @default.
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• W99142712 doi "https://doi.org/10.1103/physreve.72.020901" @default.
• W99142712 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/16196539" @default.
• W99142712 hasPublicationYear "2005" @default.
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