Seminar series
Date
Mon, 17 Nov 2008
14:15
14:15
Location
Oxford-Man Institute
Speaker
Prof. Jean Bertoin
Organisation
Paris VI
We will 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 shall 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. Some limit theorems related to the distribution of the allelic partition will be also presented.