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On the possible form of size distributions for Gibbsian processes of mutually non-intersecting balls

Published online by Cambridge University Press:  14 July 2016

Shigeru Mase
Shigeru Mase*
Affiliation:
Hiroshima University
*
∗ Postal address: Faculty of Integrated Arts and Sciences, Hiroshima University, Higashi-Senda-Machi, Naka-Ku, Hiroshima, 730 Japan.
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Abstract

We construct a model of mutually non-intersecting balls using a generalized notion of Gibbsian processes and characterize its size, i.e. radius, distribution. The explicit form of this distribution is given in the one-dimensional case, that is, mutually non-intersecting segment processes on the line.

Keywords

RANDOM BALLSNON-INTERSECTIONSTEREOLOGYSEGMENT PROCESS

Information

Type
Research Paper
Information
Journal of Applied Probability , Volume 23 , Issue 3 , September 1986 , pp. 646 - 659
Copyright
Copyright © Applied Probability Trust 1986 

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Footnotes

This research was supported in part by a Grant-in-Aid for Scientific Research of the Ministry of Education, Science and Culture under Contract Number 321–6059–59530012.

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