Cone points of Brownian motion in arbitrary dimension
classification
🧮 math.PR
math.MG
keywords
conebrownianmotiondimensionpointsalmostarbitraryconclude
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We show that the convex hull of the path of Brownian motion in $n$-dimensions, up to time $1$, is a smooth set. As a consequence, we conclude that a Brownian motion in any dimension almost surely has no cone points for any cone whose dual cone is nontrivial.
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