Bethe Ansatz in the Bernoulli Matching Model of Random Sequence Alignment
Statistical Mechanics
2009-11-13 v2 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0710.1030,
title = {Bethe Ansatz in the Bernoulli Matching Model of Random Sequence Alignment},
author = {Satya N. Majumdar and Kirone Mallick and Sergei Nechaev},
journal= {arXiv preprint arXiv:0710.1030},
year = {2009}
}
Comments
14 pages, 5 figures (some points are clarified)