My research activity regards probability theory and its application to statistical physics, my work covers the following topics:

__Duality between stochastic processes:__ duality theory is a powerful technique to investigate properties of stochastic processes. It is possible to study a continuous time Markov process through its dual, that is usually simpler; the connection between the two processes is given by a set of functions, called duality functions.

__Non-equilibrium statistical mechanics:__ stochastic models can be used to inspect non-equilibrium systems and their universal properties. Since many phenomenological laws of non-equilibrium are not yet understood at the microscopical level, the study of diffusion processes under a "dual" point of view can be convenient.