Brownian Functionals on Hypersurfaces in Euclidean Space
نویسندگان
چکیده
Using 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.
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تاریخ انتشار 1997