Abstract: Stochastic differential equations and their applications

Abstract: Stochastic differential equations and their applications

I will give a brief introduction to stochastic differential equations and name several applied problems in which they naturally appear.  In particular, I will mention open quantum systems, emergent behavior in swarms and bacterial colonies, and a model of gene expression.  The talk will be nontechnical, presenting potential areas of research rather than specific problems.  Suggested research directions will include both analytical and numerical problems.