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Asymmetric exclusion process and extremal statistics of random sequences

1999/11/24 by R. Bundschuh, Ralf Bundschuh, Bundschuh, R.
Biochemistry, Genetics and Molecular Biology · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Biological Physics (physics.bio-ph) #Complex Network Analysis Techniques #FOS: Biological sciences #FOS: Physical sciences #Quantitative Methods (q-bio.QM) #Statistical Mechanics (cond-mat.stat-mech) #Stochastic processes and statistical mechanics #cond-mat.stat-mech #physics.bio-ph #q-bio.QM

paper · pdf · doi:10.48550/arxiv.cond-mat/9911386

24 pages, 11 figures

arxiv created 1999/11/24 · openalex publication_date 1999/11/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An exact mapping is established between sequence alignment, one of the most commonly used tools of computational biology, and the asymmetric exclusion process, one of the few exactly solvable models of nonequilibrium physics. The statistical significance of sequence alignments is characterized through studying the total hopping current of the discrete time and space version of the asymmetric exclusion process.

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