@article{EJP540,
author = {Jason Schweinsberg},
title = {Waiting for m mutations},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {13},
year = {2008},
keywords = {Waiting times; mutations; population genetics; Moran model},
abstract = {We consider a model of a population of fixed size $N$ in which each individual gets replaced at rate one and each individual experiences a mutation at rate $\mu$. We calculate the asymptotic distribution of the time that it takes before there is an individual in the population with $m$ mutations. Several different behaviors are possible, depending on how μ changes with $N$. These results have applications to the problem of determining the waiting time for regulatory sequences to appear and to models of cancer development.},
pages = {no. 52, 1442-1478},
issn = {1083-6489},
doi = {10.1214/EJP.v13-540},
url = {http://ejp.ejpecp.org/article/view/540}}