Friz, Peter K,

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.

9783319083322

QA273.A1-274.9