Bethe Ansatz in the Bernoulli Matching Model of Random Sequence Alignment

Details Bethe Ansatz in the Bernoulli Matching Model of Random Sequence Alignment Bethe Ansatz in the Bernoulli Matching Model of Random Sequence Alignment

2007-10-04

arxiv.org/abs/0710.1030v2

Phys. Rev. E 77, 011110 (2008)

Physics

Condensed Matter

Statistical Mechanics

14 pages, 5 figures (some points are clarified)

Scientific paper

10.1103/PhysRevE.77.011110

For the Bernoulli Matching model of sequence alignment problem we apply the Bethe ansatz technique via an exact mapping to the 5--vertex model on a square lattice. Considering the terrace--like representation of the sequence alignment problem, we reproduce by the Bethe ansatz the results for the averaged length of the Longest Common Subsequence in Bernoulli approximation. In addition, we compute the average number of nucleation centers of the terraces.

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