Author: Raphael Cerf

Three series of lectures were given at the 34th Probability Summer School in Saint-Flour (July 6-24, 2004), by the Professors Cerf, Lyons and Slade. We have decided to publish these courses separatel …

The goal of this work is to propose a finite population counterpart to Eigen’s model, which incorporates stochastic effects. The author considers a Moran model describing the evolution of a populatio …

This monograph studies a series of mathematical models of the evolution of a population under mutation and selection. Its starting point is the quasispecies equation, a general non-linear equation wh …