KTH/SU Mathematics Colloquium

October 21, 2009; 16:00-17:00 in room 3721

Peter Jagers, Chalmers University of Technology

Extinction: how often, how soon, and in what way?

Branching processes were born out of the observation that extinction (of separate families or subpopulations) is ubiquitous in nature and society. This lead to Galton's and Watson's famous error, as they claimed that all family lines must die out, even in exponentially growing populations. We look back at this discussion, and proceed to exhibiting the time and path to extinction.