Back to Departmental Colloquium: Fall 1999
Departmental Colloquium
Date: Thursday, Nov 18, 1999
Time: 4:15PM
Location: JWB 335
Rick Durrett
Cornell
Title |
Stochastic spatial models; easy as 1, 2, 3 |
Abstract |
In many situations in biology it is useful to consider a model that represents space as a grid of sites each of which can be in one of a finite number of states and changes at a rate that depends on the state of finitely many neighbors. Durrett and Levin proposed in 1994 that the behavior of these systems can be inferred by looking at the associated mean field ODE that is obtained by pretending that all sites are always independent. We will describe the answers that result from this approach for a number of systems of interest in biology and illustrate our results by a videotape of computer simulations. |
Probability
Mathematical Biology
Computational Mathematics