Dipartimento di Matematica -UTV-

Research interests

Stochastic processes connected to risk theory and to stochastic modelling in finance. Large deviations, with applications to simulation and to numerical methods in risk theory and finance; ruin probabilities for complex models and variance reduction for their computation by simulation, in particular for long memory or heavy tail models; Monte Carlo methods for the pricing/hedging of options via Malliavin calculus techniques.
Isotropic random fields. Characterizations, harmonic analysis, connections with representation theory, high frequency asymptotics.
Stochastic modelling and statistics in biology and medicine. First passage times and inverse problems. Methods and models in medical statistics. Modelling and statistics of disease spread.
Filtering. Filtering with delayed data; non linear filtering and applications to partially observed queues model estimation; high frequency data models and estimates.
Statistical inference on stochastic processes and random fields. Spectral analysis of stationary and nonstationary processes, long memory, cointegration and fractional cointegration; statistics of spherical random fields, higher order angular power spectra, spherical wavelets, application to cosmological data.
Random processes on random structures. Random walks in random environment, spatial random graphs, particle systems and hydrodynamic limits, stochastic homogenization, mixing time.
Statistical learning. Generalization, scalability, dimension reduction, neural networks, kernel methods, multiscale methods, wavelets.

People

Here is a link to the Rome Center on Mathematics for Modeling and Data ScienceS.

Seminars

Webinars of the PRISMA group.
RoMaDS seminars from Tor Vergata's Rome Center on Mathematics for Modeling and Data ScienceS.