Article ID Journal Published Year Pages File Type
4619100 Journal of Mathematical Analysis and Applications 2010 24 Pages PDF
Abstract

We present an abstract approach to noncommutative stochastic integration in the context of a finite von Neumann algebra equipped with a normal, faithful, tracial state, with respect to processes with tensor or freely independent increments satisfying a stationarity condition, using a decoupling technique. We obtain necessary and sufficient conditions for stochastic integrability of Lp-processes with respect to such integrators. We apply the theory to stochastic integration with respect to Boson and free Brownian motion.

Related Topics
Physical Sciences and Engineering Mathematics Analysis