Bethe Ansatz in the Bernoulli matching model of random sequence alignment

Satya N. Majumdar; Kirone Mallick; Sergei Nechaev

doi:10.1103/PhysRevE.77.011110

Bethe Ansatz in the Bernoulli matching model of random sequence alignment

Satya N. Majumdar, Kirone Mallick, Sergei Nechaev

Research output: Contribution to journal › Article › peer-review

Abstract

For the Bernoulli matching model of the sequence alignment problem we apply the Bethe Ansatz technique via an exact mapping to the five-vertex model on a square lattice. Considering the terracelike representation of the sequence alignment problem, we reproduce by the Bethe Ansatz the results for the averaged length of the longest common subsequence in the Bernoulli approximation. In addition, we compute the average number of nucleation centers of the terraces.

Original language	English
Article number	011110
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	77
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevE.77.011110
Publication status	Published - 11 Jan 2008
Externally published	Yes

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title = "Bethe Ansatz in the Bernoulli matching model of random sequence alignment",

abstract = "For the Bernoulli matching model of the sequence alignment problem we apply the Bethe Ansatz technique via an exact mapping to the five-vertex model on a square lattice. Considering the terracelike representation of the sequence alignment problem, we reproduce by the Bethe Ansatz the results for the averaged length of the longest common subsequence in the Bernoulli approximation. In addition, we compute the average number of nucleation centers of the terraces.",

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JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

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Bethe Ansatz in the Bernoulli matching model of random sequence alignment

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