On the intersection number of the path of a diffusion and chains
Shojiro Manabe · Proceedings of the Japan Academy Series A Mathematical Sciences · 1979
Communicated by KSsaku YOSIDA, M. $. A., Jan. 16, 1979) 1o We are concerned with the 2ollowing problem which was already considered by H. P. McKean [4] or the Brownian motion" in what manner does the path of a diffusion on a manifold wind around a fixed point or a hole asymptotically?For this purpose, we shll define a stochastic version oi the intersection number.As is well-