Notes on the integrability of exit times from unbounded domains of Brownian motion

J. Math. Sci. Univ. Tokyo
Vol. 3 (1996), No. 1, Page 15--44.

Atsuji, Atsushi
Notes on the integrability of exit times from unbounded domains of Brownian motion
[Full Article (PDF)] [MathSciNet Review (HTML)] [MathSciNet Review (PDF)]


Abstract:
The integrability and the tail distribution of the first exit time from unbounded domain of Brownian motions will be considered. They are characterized by the growth order of the first eigen values of the intersection of domains and sphere with radius $r$ and quasi-hyperbolic distance.

Mathematics Subject Classification (1991): 58G32, 60J65
Mathematical Reviews Number: MR1414617

Received: 1994-09-28