Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2003; 40(3): 521-529

Printed September 1, 2003

Copyright © The Korean Mathematical Society.

Geometric probability in the Minkowski plane

Weon-Bae Kim and Yong-Il Kim

Daejin University, Sungkyunkwan University

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

MSC numbers: 60D05, 53C65, 52A22