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The thrown string: a Markov field approach

Published online by Cambridge University Press:  01 July 2016

Leon Willenborg
Leon Willenborg*
Affiliation:
Netherlands Central Bureau of Statistics
*
∗Postal address: Netherlands Central Bureau of Statistics, P.O. Box 4481, 6401CZ Heerlen, The Netherlands.
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Abstract

A static model is proposed for a string thrown at random on a horizontal plane. The curvature of such a string is described by a Markov field that is derived from the Brownian bridge.

Keywords

BROWNIAN BRIDGESTATISTICAL MECHANICSCHAIN MOLECULES
Type
Research Article
Information
Advances in Applied Probability , Volume 17 , Issue 3 , September 1985 , pp. 607 - 622
Copyright
Copyright © Applied Probability Trust 1985 

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Footnotes

The views expressed in this paper are those of the author and do not necessarily reflect the policies of the Netherlands Central Bureau of Statistics. This paper is based on the author’s master’s thesis written under the supervision of Professor W. Vervaat, and presented to the Department of Mathematics of the Catholic University of Nijmegen in September 1980.

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