Stochastical Analysis
Stochastical Analysis
Stochastic analysis deals with stochastic processes. These can also be viewed as random functions. Due to the element of “randomness,” these functions exhibit less regularity but prove to be more realistic for many applications. As a rule, the functions are not differentiable and, like chaotic and fractal phenomena, have no length; that is, they are of infinite variation. In particular, we study infinite-dimensional processes such as measure-valued diffusions, (affine) path processes, and rough processes.