Derieva, O. M. Some properties of measures corresponding to random fields of diffusion type on the plane. (English. Ukrainian original) Zbl 0861.60061 Theory Probab. Math. Stat. 50, 71-76 (1995); translation from Teor. Jmovirn. Mat. Stat. 50, 70-75 (1994). Summary: The Radon-Nikodým derivative of the measure corresponding to a diffusion field over the Wiener measure is proved to be a solution of a stochastic differential equation of special form. Under additional conditions, the type of a random field whose measure is absolutely continuous with respect to the Wiener measure is established. MSC: 60G60 Random fields 60J60 Diffusion processes Keywords:Radon-Nikodým derivative; stochastic differential equation; Wiener measure PDFBibTeX XMLCite \textit{O. M. Derieva}, Theory Probab. Math. Stat. 50, 1 (1994; Zbl 0861.60061); translation from Teor. Jmovirn. Mat. Stat. 50, 70--75 (1994)