Schedule Aug 18, 2003
A Momentary Glance at The Solitary Wave of Asexual Evolution
David Kessler (Bar-Ilan University)

We study the problem of the evolution of a population in a smooth landscape. The problem can be characterized by the noisy propagation of a solitary wave, the distribution of fitness. The finite size of the population acts as a singular perturbation of the mean-field description of the problem. We show how we can use the infinite moment hierarchy to completely describe the time-varying speed of advance of the wave. We find that the velocity crosses over from a linear dependence on the population size for small populations to a log dependence for large populations.

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