Two main themes describe my current research interests:  Ergodic theory of dynamical systems and its applications to the analysis of biological processes at molecular, cellular and population levels and Quantum statistics as a formalism to investigate the dynamics of electron transport and proton transduction in cellular metabolism.  These themes involve work of a methodological nature — which is primarily mathematical — and studies of biological models using computational and empirical methods. The methodological studies draw from areas such as the theory of large deviation, non-linear dynamical systems, game theory, products of random matrices. The biological processes investigated include: evolutionary genetics and evolutionary dynamics, biological networks, allometric relations and demography.