A course on rough paths : with an introduction to regularity structures /
Peter K. Friz, Martin Hairer.
- xiv, 251 páginas : 2 ilustraciones
- Universitext, 0172-5939 .
Springer eBooks
Introduction -- The space of rough paths -- Brownian motion as a rough path -- Integration against rough paths -- Stochastic integration and Itˆo’s formula -- Doob–Meyer type decomposition for rough paths -- Operations on controlled rough paths -- Solutions to rough differential equations -- Stochastic differential equations -- Gaussian rough paths -- Cameron–Martin regularity and applications -- Stochastic partial differential equations -- Introduction to regularity structures -- Operations on modelled distributions -- Application to the KPZ equation.