Let n be a positive integer, let μ be a probability measure on ℝ[sup n] , and let (B[sub t])[sub 0≤t<∞] be Brownian motion with initial distribution μ. […] For each random time T let μ[sub T] be the distribution of the random variable B[sub t]. […] It is natural to ask which measures ν on ℝ[sup n] are of the form μ[sub T] where T is a stopping time. [the rest of the abstract can be found in the attached PDF file]Science, Faculty ofMathematics, Department ofGraduat