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

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Schaden, Martin
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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.
Comment: Talk presented at QFEXT09 in Norman, Oklahoma (6 pages, 2 figs.)
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High Energy Physics - Theory
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