Statistical Mechanics and Disordered
Systems
Joseph V. Pulé
A mathematically rigourous approach to the study of Statistical Mechanics
and related areas is adopted. By using methods of functional analysis and
probability theory intuitive treatments in these areas are made exact and
extended to give new results.
One area of interest is the study of systems of electrons in the
presence of a random potential in a magnetic field. This has significant
consequences in the theory of the Quantum Hall effect. Related to this
is the application of methods of functional integration Brownian motion
to the study of diamagnetic currents in quantum systems.
Another area of interest is the application of the theory of
large derivative to treat interacting quantum systems, especially
Boson systems to examine the existence of Bose-Einstein Condensation.
A third area of interest is the study polymers in random media by
probabilistic methods.
Current Collaboration:
This research is carried out in collaboration with amongst others, EPFL
(Switzerland), University of Lille (France), Marseille (France), DIAS.
