Diffusion processes with identical bridges

It is shown that diffusions with identical bridges compose classes of stochastic processes for which the methods of calculation of distributions of functionals are identical as well. Some particular classes of such processes are considered. Bibliography: 8 titles.Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 294, 2002, pp. 29–42.This research was supported in part by the Russian Foundation for Basic Research, grants 02-01-00265, 00-15-96019, and 99-01-04027 (joint with DFG).Translated by V. N. Sudakov.