Dynamical and Hamiltonian dilations of stochastic processes
This is a study of the problem which stochastic processes could arise from dynamical systems by loss of information. The notions of ''dilation'' and ''approximate dilation'' of a stochastic process are introduced to give exact definitions of this particular relationship. It is shown that every generalized stochastic process is approximately dilatable by a sequence of dynamical systems, but for stochastic processes in full generality one needs nets.
dynamical systems by loss of information
scientific article; zbMATH DE number 3982241