Abstract
We study properties of the clusters of a system of fully penetrable balls, a model formed by centering equal-sized balls on the points of a Poisson process. We develop a formal expression for the density of connected clusters of k balls (called k-mers) in the system, first rigorously derived by Penrose [15]. Our integral expressions are free of inherent redundancies, making them more tractable for numerical evaluation. We also derive and evaluate an integral expression for the average volume of k-mers.
Original language | English (US) |
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Pages (from-to) | 327-336 |
Number of pages | 10 |
Journal | Advances in Applied Probability |
Volume | 29 |
Issue number | 2 |
DOIs | |
State | Published - Jun 1997 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Applied Mathematics
Keywords
- Boolean model
- Cluster properties