Local Measure of Convex Surfaces induced by the Wiener Measure of Paths

Details Local Measure of Convex Surfaces induced by the Wiener Measure of Paths Local Measure of Convex Surfaces induced by the Wiener Measure of Paths

2009-11-10

arxiv.org/abs/0911.1969v1

Physics

High Energy Physics

High Energy Physics - Theory

Talk presented at QFEXT09 in Norman, Oklahoma (6 pages, 2 figs.)

Scientific paper

The Wiener measure induces a measure of closed, convex, (d-1)-dimensional,
Euclidean (hyper-)surfaces that are the convex hulls of closed d-dimensional
Brownian bridges. I present arguments and numerical evidence that this measure,
for odd d, is generated by a local classical action of length dimension two
that depends on geometric invariants of the (d-1)-dimensional surface only.

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