Job description: The ALW researcher has to assist in the development of a bifurcation theory for Evolutionarily Stable Strategies, analogous to the existing bifurcation theory for equilibria of dynamical systems. ESSes are equilibria of the evolutionary process of repeated adaptive gene substitutions. The simplest form of the latter process has been formalized under the name of Adaptive Dynamics. Adaptive Dynamics differ from the more usual dynamical systems in that the state space isn't a smooth manifold but consists of contiguous components of different dimension. Moreover, there sometimes is less differentiability than in the usual bifurcation theory for dynamical systems. This is compensated for by a number of consistency conditions which derive from the population dynamics that underlie the substitution process.
Info: Hans Metz (Metz@rulsfb.Leidenuniv.nl)