| Issue |
ESAIM: PS
Volume 11, February 2007
Special Issue: "Stochastic analysis and mathematical finance" in honor of Nicole El Karoui's 60th birthday
|
|
|---|---|---|
| Page(s) | 281 - 300 | |
| DOI | https://doi.org/10.1051/ps:2007014 | |
| Published online | 19 June 2007 | |
Macroscopic non-uniqueness and transversal fluctuation in optimal random sequence alignment
1
University of Bielefeld, Postfach 10 01 31,
33501 Bielefeld, Germany; saba@uni-bielefeld.de
2
School of Mathematics, Georgia Institute of Technology,
Atlanta, GA 30332–0160, USA; matzi@math.gatech.edu
3
Instituto de Matemática e Estatística,
Universidade de São Paulo, rua do Matão 1010, CEP 05508–090,
São Paulo SP, Brasil; popov@ime.usp.br
Received:
25
November
2005
Revised:
22
June
2006
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.
Mathematics Subject Classification: 60K35 / 60J20
Key words: Longest common subsequence / path property / longitudinal fluctuation / transversed fluctuation.
© EDP Sciences, SMAI, 2007
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