Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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GEOMETRIC PROBABILITY IN THE MINKOWSKI PLANE

  • Kim, Weon-Bae (Department of Mathematics, Daejin University) ;
  • Kim, Yong-Il (Department of Mathematics, SungKyunKwan University)
  • Published : 2003.08.01
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Abstract

In this paper, we get the measure of strips and lines in the Minkowski plane $M^2$ that meet a fixed compact convex body in $M^2$. From this we also investigate the probability that strips and lines meet a fixed compact convex body in $M^2$.

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References

  1. Elements de geometrie differentielle Minkowskienne O.Biberstein
  2. Duke Math. J. v.29 Integral geometry in the Minkowski plane G.D.Chakerian https://doi.org/10.1215/S0012-7094-62-02936-8
  3. Minkowski Geometry A.C.Thompson
  4. Integral geometry and geometry probability L.A.Santalo