GEOMETRIC PROBABILITY IN THE MINKOWSKI PLANE

Title & Authors
GEOMETRIC PROBABILITY IN THE MINKOWSKI PLANE
Kim, Weon-Bae; Kim, Yong-Il;

Abstract
In this paper, we get the measure of strips and lines in the Minkowski plane $\small{M^2}$ that meet a fixed compact convex body in $\small{M^2}$. From this we also investigate the probability that strips and lines meet a fixed compact convex body in $\small{M^2}$.
Keywords
density;Minkowski length;perimeter;strip;
Language
English
Cited by
References
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Elements de geometrie differentielle Minkowskienne, 1959.

2.
Duke Math. J., 1962. vol.29. pp.375-381

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Minkowski Geometry, 1996.

4.
Integral geometry and geometry probability, 1976.