Supervised by Carsten Wiuf. My Ph.D. project was focused on the study of stochastic reaction networks. Specifically, I studied their limit behaviour and their relationship with the associated deterministic ODE models. The effects of simplification by removal of chemical species (variables) and interactions from a stochastic reaction network were studied. Moreover, a new theory for stochastic models was built, which connects stationary properties of the stochastic processes of interest with features of a finite graph associated with the model. This theory can be regarded as the counterpart of a classical theory for deterministic models. Finally, relationships between the deterministic and stochastic models were studied in the special case of absolute concentration robustness models.

I graduated with a score of 110/110 cum laude. As my final project, I studied the paper Thick points for spatial Brownian motion: Multifractal analysis of occupation measure by A. Dembo, Y. Peres, and J. Rosen, under the supervision of Franco Flandoli. Specifically, some balls centered in the Brownian trajectory may have, in the limit, an exceptionally high occupancy measure with respect to their area. The centers of such balls are called thick points and their Hausdorff dimension is analysed.

I graduated with a score of 110/110 cum laude. As my final project, I did a statistical analysis of different kinds of volcanic hazards in the Phlegraean Fields, an active caldera in the nearby of Naples, under the supervision of Franco Flandoli. I used gaussian mixtures fitted by the EM algorithm, several simulations of lava flows implemented in C and R and the PAM algorithm for cluster analysis.