Skip to main content

The probability of linking of random closed curves

  • Conference paper
  • First Online:
Geometry Symposium Utrecht 1980

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 894))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 39.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Banchoff, T.F., Pohl, W.F.: A generalization of the isoperimetric inequality. J. Diff. Geom. 6, 175–192 (1971).

    MathSciNet  MATH  Google Scholar 

  2. Blaschke, W.: Vorlesungen über Integralgeometrie. Chelsea Pub. Co. N.Y., 1949.

    MATH  Google Scholar 

  3. Chern, S.-S.: On the kinematic formula in the Euclidean space of N dimensions. Amer. J. Math. 74, 227–236 (1952).

    Article  MathSciNet  MATH  Google Scholar 

  4. Kuiper, N.H.: Distribution modulo 1 of some continuous functions. Indag. Math. 12, 460–466 (1950).

    MathSciNet  MATH  Google Scholar 

  5. Kuiper, N.H.: On the random cumulative frequency function. Indag. Math. 22, 32–37, 1960.

    Article  MathSciNet  MATH  Google Scholar 

  6. Kuiper, N.H.: Tests concerning random points on a circle. Indag. Math. 22, 38–47, 1960.

    Article  MathSciNet  MATH  Google Scholar 

  7. Mallows, C.L., Clark, J.M.C.: Linear-intercept distributions do not characterize plane sets. J. Appl. Prob. 7, 240–244, 1970.

    Article  MathSciNet  MATH  Google Scholar 

  8. Osserman, R.: The isoperimetric inequality. Bull. Amer. Math. Soc. 84, 1182–1238, 1978.

    Article  MathSciNet  MATH  Google Scholar 

  9. Pohl, W.F.: Some integral formulas for space curves and their generalization. Amer. J. Math. 90, 1321–1345, 1968.

    Article  MathSciNet  MATH  Google Scholar 

  10. Pohl, W.F.: The self-linking number of a closed space curve. J. Math. Mech. 17, 975–985, 1968.

    MathSciNet  MATH  Google Scholar 

  11. Santaló, L.A.: Integral Geometry and Geometric Probability. Addison-Wesley, Reading, Mass., 1976.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

E. Looijenga D. Siersma F. Takens

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Pohl, W.F. (1981). The probability of linking of random closed curves. In: Looijenga, E., Siersma, D., Takens, F. (eds) Geometry Symposium Utrecht 1980. Lecture Notes in Mathematics, vol 894. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0096227

Download citation

  • DOI: https://doi.org/10.1007/BFb0096227

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11167-2

  • Online ISBN: 978-3-540-38641-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics