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Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2008

Bethe Ansatz in the Bernoulli matching model of random sequence alignment

Abstract

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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Dates and versions

hal-00226439 , version 1 (01-09-2020)

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Satya N. Majumdar, Kirone Mallick, Sergei K. Nechaev. Bethe Ansatz in the Bernoulli matching model of random sequence alignment. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2008, 77, pp.011110. ⟨10.1103/PhysRevE.77.011110⟩. ⟨hal-00226439⟩
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