Research Interests
I study mathematical physics, with emphasis on time-dependent aspects of statistical mechanics, in both quantum and classical systems. Relevant mathematical tools to study such problems include:
- probability theory (large deviations, stochastic differential equations);
- dynamical systems and ergodic theory (recurrence, mixing, theory of C*-algebras, random dynamical systems);
- operator theory (spectra, resolvents, perturbation theory, one-parameter semigroups).