an:00059650
Zbl 0758.58037
Taylor, J. C.
Brownian motion on a symmetric space of non-compact type: Asymptotic behaviour in polar coordinates
EN
Can. J. Math. 43, No. 5, 1065-1085 (1991).
00007754
1991
j
58J65 60J65 43A85 22E30 60B15
Brownian motion; symmetric space; skew product representation
This expository paper is a sequel to the author's paper in [Contemp. Math. 73, 303-332 (1988; Zbl 0658.58041)]. Results of Orihara and Malliavin from the early 1970's concerning the asymptotic behaviour of Brownian motion on a symmetric space of noncompact type are obtained by a simpler and more direct method. The Brownian motion lives on the set of regular points of the symmetric space, where a skew product representation analogous to polar coordinates is available; asymptotically the `radial' variable tends to infinity almost surely in a precise direction, and the `angle' also converges a.s..
R.Darling
Zbl 0658.58041