Hypersurfaces in R-D and the Variance of Exit Times for Brownian MotionProceedings of the American Mathematical Society
AbstractUsing the first exit time for Brownian motion from a smoothly bounded domain in Euclidean space, we define two natural functionals on the space of embedded, compact, oriented, unparametrized hypersurfaces in Euclidean space. We develop explicit formulas for the first variation of each of the functionals and characterize the critical points.
Citation InformationKimberly Kinateder and Patrick McDonald. "Hypersurfaces in R-D and the Variance of Exit Times for Brownian Motion" Proceedings of the American Mathematical Society Vol. 125 Iss. 8 (1997) p. 2453 - 2462 ISSN: 0002-9939
Available at: http://works.bepress.com/kimberly_kinateder/3/