Stochastic processes on quantum logics
Joint distributions of observables were studied by several authors. In the present paper, we use the joint distributions originally introduced by \textit{K. Urbanik} [Stud. Math. 21, 117-133 (1961; Zbl 0099.224)]. We shall give a definition of the Brownian motion process analogous to the definition in the classical case and study its properties. We also try to construct a stochastic integral with respect to this Brownian motion process.
scientific article; zbMATH DE number 3870322
scientific article