2005/10/03 by Didier Piau, Piau, Didier
Agricultural and Biological Sciences · Biochemistry, Genetics and Molecular Biology · Mathematics · #60F17 #60G55 #92D20 #Chromosomal and Genetic Variations #Evolution and Genetic Dynamics #FOS: Biological sciences #FOS: Mathematics #Genomics (q-bio.GN) #Genomics and Phylogenetic Studies #Probability (math.PR) #math.PR #msc:60F17 #msc:60G55 #msc:92D20 #q-bio.GN
paper · pdf · doi:10.48550/arxiv.math/0510036
24 pages
arxiv created 2005/10/03 · openalex publication_date 2005/10/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study some stochastic models of physical mapping of genomic sequences. Our starting point is a global construction of the process of the clones and of the process of the anchors which are used to map the sequence. This yields explicit formulas for the moments of the proportion occupied by the anchored clones, even in inhomogeneous models. This also allows to compare, in this respect, inhomogeneous models to homogeneous ones. Finally, for homogeneous models, we provide nonasymptotic bounds of the variance and we prove functional invariance results.