Rigid curves at random positions and linking numbers
- 48 Downloads
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.
KeywordsNeural Network Fourier Fourier Transformation Statistical Physic Complex System
Unable to display preview. Download preview PDF.
- 1.Rolfsen, D.: Knots and Links. Mathematics Lecture Series, Vol. 7, p. 132. Berkeley, CA: Publish or Perish, Inc. 1976Google Scholar
- 2.Alexandroff, P. and Hopf, H.: Topologie I. Berlin: Springer 1935Google Scholar
- 3.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)Google Scholar
- 4.Duplantier, B.: Linking umbers, contracts, and mutal inductances of a Random set of closed curves. Commun. Math. Phys. (to appear)Google Scholar