The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations

Details The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations

2007-11-24

arxiv.org/abs/0711.3852v3

Mathematics

Probability

This version corrects a significant mistake in the first one

Scientific paper

We consider a (sub) critical Galton-Watson process with neutral mutations (infinite alleles model), and decompose the entire population into clusters of individuals carrying the same allele. We specify the law of this allelic partition in terms of the distribution of the number of clone-children and the number of mutant-children of a typical individual. The approach combines an extension of Harris representation of Galton-Watson processes and a version of the ballot theorem. Some limit theorems related to the distribution of the allelic partition are also given.

Affiliated with

Also associated with

No associations

Rating

The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The structure of the allelic partition of the total population for Galton-Watson processes with neutral mutations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-563022