Department of Mathematics, Univ. Roma Tor Vergata
PhD Course held by Paolo Pigato (10 hours)
Title: Fractional Brownian motion and non-Markovian modeling
Schedule: March 03, 2020; h. 14-16. Room: Aula D'Antoni March 05, 2020; h. 14-17. Room: Aula D'Antoni March 10, 2020; h. 14-16. Room: Aula De Blasi March 12, 2020; h. 14-17. Room: Aula D'Antoni
Abstract. In several applications of stochastic analysis (financial engineering, telecommunication networks, ...), it is desirable to model real-world quantities which are non-Markovian, for example because the noise process exhibits slowly decaying auto-correlations and long memory. In this course we will focus on fractional Brownian motion, a prototypical example of non-Markovian process. Such process is a generalisation of Brownian motion with Holder regularity possibly different than 1/2 and it is not a martingale. We will consider large deviations problems, simulation methods and some examples of application.
Some other details can be found here: http://www.mat.uniroma2.it/~macci/corso-dottorato-pigato.htm
Best regards. Claudio Macci.