Our present interests include a variety of physical systems which are described by classical nonlinear partial differential equations, and that can be studied using a combination of analytical and numerical methods. These systems range from multicomponent Bose condensates to surfaces undergoing ion bombardment to voids in metals carrying large electric current densities.

We have been developing and applying methods to effectively distinguish physical systems which are deterministic but chaotic from those which exhibit random behavior, based on analysis of experimental time series. The main focus of applications presently is to stream flows; we have also investigated weather and brain behavior.

Our main efforts are directed towards computational studies of equilibrium and near-equilibrium properties of simple models which are motivated by interesting materials or condensed-matter phenomena. Examples include superconductivity, quantum spin systems, quantum Hall effect, and alkali fullerides.