Macroscopic non-uniqueness and transversal fluctuation in optimal random sequence alignment
Saba Amsalu, Heinrich Matzinger, Serguei Popov · ESAIM Probability and Statistics · 2007
We investigate the optimal alignment of two independent random sequences of length n. We provide a polynomial lower bound for the probability of the optimal alignment to be macroscopically non-unique. We furthermore establish a connection between the transversal fluctuation and macroscopic non-uniqueness.