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Some Dual Problems of Geometric Probability in the Plane

Published online by Cambridge University Press:  12 September 2008

John Gates
John Gates
Affiliation:
Applied Statistics and Operational Modelling Section, School of Mathematics, Statistics and Computing, Greenwich University, Wellington Street, Woolwich, London SE18 6PF
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Abstract

A definition is adopted for convexity of a set of directed lines in the plane. Following this, the duals of a number of standard problems of geometric probability are formulated. Problems considered in detail are the duals of Sylvester's problem, chord length distributions and Ambartzumian's combinatorial geometry. The paper suggests some questions for further work.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 2 , Issue 1 , March 1993 , pp. 11 - 23
Copyright
Copyright © Cambridge University Press 1993

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References

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