My research interests are at the interface of applied mathematics and theoretical physics in the field of statistical mechanics. In particular, I use the framework of interacting particle systems and the tools of large deviation theory to study fundamental aspects of non-equilibrium physics such as the probability of rare events and the validity of so-called “fluctuation relations”. I am also engaged in using similar mathematical approaches to gain insight into the features of real-life complex systems and have published work on econophysics and transport processes. One focus of my present research is the theory and applications of non-Markovian models for which memory of the past plays a crucial role in the future dynamics.
Website and publications: http://www.maths.qmul.ac.uk/~harris/