Speaker
Prof.
Joachim Krug
(University of Cologne)
Description
The evolutionary search of a finite population in a rugged
fitness or energy landscape with many local optima is a
paradigmatic problem that connects evolutionary biology to
the statistical physics of disordered systems and computer
science. In this brief presentation I summarize the results
of two recent studies which addressed different aspects of
this problem. A detailed numerical investigation of
evolutionary trajectories in a sequence space of finite
extent revealed a hierarchy of dynamical regimes that are
traversed with increasing population size, connecting the
adaptive walk of a pointlike population to the deterministic
quasispecies limit at extremely large population sizes [1].
In the second study the limit of infinite sequence length
was employed, which leads to an analytically tractable
problem closely related to the dynamics of records [2].
[1] K. Jain, J. Krug, Genetics 175, 1275 (2007).
[2] S.C. Park, J. Krug, JSTAT (2008) P04014.
[1] K. Jain, J. Krug, Genetics 175, 1275 (2007).
[2] S.C. Park, J. Krug, JSTAT (2008) P04014.