AVVISO DI SEMINARIO
Speaker: Ivan Nourdin (Luxembourg University) Luogo: Aula Dal Passo, Dipartimento di Matematica, Università di Roma Tor Vergata Data ed ora: mercoledì 12 aprile, ore 16
Title: CLT for symmetric integrals of fractional Brownian motion
Abstract: In this talk, based on a joint work with Giulia Binotto and David Nualart, I will explain how to establish the weak convergence of symmetric Riemann sums for functionals of the fractional Brownian motion when the Hurst parameter takes a certain critical value. As a consequence, we will then see that one can derive a change-of-variable formula in distribution, where the correction term is a stochastic integral with respect to a Brownian motion that is independent of the underlying fractional Brownian motion.
Grazie per l'attenzione, Domenico Marinucci