The Torsion of Three-Dimensional Random Walk*

  • Mikelis G. Bickis
Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 103)


Measures of torsion for the sample paths of three-dimensional random walk are defined. Their asymptotic distributions are shown to be normal both in the case of unrestricted random walk, and in the case of non-reversal random walk.


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  1. [1]
    Alexandrov, A.D. and Reshetnyak, Yu.G., General Theory of Irregular Curves, Dordrecht: Kluwer (1989).zbMATHGoogle Scholar
  2. [2]
    Feller, W., An Introduction to Probability Theory and Its Applications, II, 2nd ed. New York: Wiley (1971).Google Scholar
  3. [3]
    Madras, N. and Slade, G., The Self-Avoiding Walk, Boston: Birkhäuser (1993).zbMATHGoogle Scholar
  4. [4]
    Millman, R.S. and Parker, G.D., Elements of Differential Geometry, Englewood Cliffs: Prentice-Hall (1977).zbMATHGoogle Scholar
  5. [5]
    Tesi, M.C., Geometrical Entanglement in Lattice Models of Linear Polymers: Torsion and Writhe, IMA Volumes in Mathematics and its Applications, “Numerical Methods for Polymeric Systems”, Editor: Stuart Whittington, Vol. 102, Springer-Verlag New York, Inc. (1997).Google Scholar

Copyright information

© Springer-Verlag New York, Inc. 1998

Authors and Affiliations

  • Mikelis G. Bickis
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of Saskatchewan, SaskatoonCanada

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