The Knotting of Brownian Motion in 3-space
نویسنده
چکیده
The " knotting " properties of Brownian motion are investigated. Because the path of Brownian motion in 3-space intersects itself, the topological definition of a knot does not apply. A modified concept is defined; implication in a knot-tube. It is shown that 3-space Brownian motion is implicated in infinitely many disjoint knot-tubes in every time interval. As a corollary every segment of the Brownian path is knotted in this sense.
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تاریخ انتشار 2006