Cari tutti,
nei giorni
mercoledi' 19 aprile, dalle ore 11:00 alle 13:00 (presso l'aula seminari)
giovedì 20 aprile, dalle ore 11:00 alle ore 13:00 (presso l'aula Magna)
Giovanni Zanco terra' un minicorso dal titolo
A brief introduction to rough paths
Abstract: We will introduce basic concepts and tools from rough paths
theory, motivated by the need to establish a solution theory for
differential equations driven by irregular signals.
In particular we will discuss controlled rough paths, integration
against rough paths, we will compare it to stochastic integration
theories and show how classical results can be extended to the rough
paths framework.
We will mainly consider \alpha-Hölder signals with \alpha\in(1/3,1/2];
this choice allows to simplify many concepts of the theory and,
although restrictive, provides enough instruments to deal with
interesting problems, like nonlinear SPDEs driven by space-time white
noise.
Saluti,
Marta Leocata