Abstract
A property of the square of the linking number of two closed rigid curves randomly displaced in a three dimensional space, has been recently found by W. Pohl. Here, this result is reproduced and generalized. This new approach is quite different and uses a simple Fourier transformation.
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Rolfsen, D.: Knots and Links. Mathematics Lecture Series, Vol. 7, p. 132. Berkeley, CA: Publish or Perish, Inc. 1976
Alexandroff, P. and Hopf, H.: Topologie I. Berlin: Springer 1935
Pohl, W.: International Symposium in honour of N.H. Kuiper, Utrecht 1980. In: Lecture Notes in Mathematics. Berlin, Heidelberg, New York: Springer (to be published)
Duplantier, B.: Linking umbers, contracts, and mutal inductances of a Random set of closed curves. Commun. Math. Phys. (to appear)
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Communicated by J.L. Lebowitz
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Cloizeaux, J.d., Ball, R. Rigid curves at random positions and linking numbers. Commun.Math. Phys. 80, 543–553 (1981). https://doi.org/10.1007/BF01941662
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DOI: https://doi.org/10.1007/BF01941662