Biological and physical systems whose dynamics are described by delay- differential or functional differential equations.
Current biological research includes:
- Dynamic hematological diseases
- Dynamics in gene regulatory systems
Physically motivated research includes:
- Ergodic properties of infinite dimensional dynamical systems
- The effects of "noise" in driving non-equilibrium processes
- Understanding how totally deterministic dynamics can mimic what we customarily call noise in the physical world
- The foundations of statistical mechanics, and especially the origins of irreversibility