DOI QR코드

DOI QR Code

GEOMETRIC PROBABILITY IN THE MINKOWSKI PLANE

Kim, Weon-Bae;Kim, Yong-Il

  • Published : 2003.08.01

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 $M^2$.

Keywords

density;Minkowski length;perimeter;strip

References

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