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Brownian motion can see a knot

Published online by Cambridge University Press:  24 October 2008

N. Th. Varopoulos
N. Th. Varopoulos
Affiliation:
Université de Paris VI
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Extract

Let be the 3-dimensional sphere and let be a smooth knot, i.e. K is the image of a regular diffeomorphism . We say that K is unknotted if there exists a diffeomorphism of onto the unit sphere of , that brings K to the equatorial circle otherwise we say that K is knotted.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 2 , March 1985 , pp. 299 - 309
Copyright
Copyright © Cambridge Philosophical Society 1985

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