On the visibility in well-behaved random sets in Euclidean space |
| |
Authors: | Johan Tykesson |
| |
Affiliation: | The Weizmann Institute of Science, Faculty of Mathematics and Computer Science, POB 26, Rehovot 76100, Israel |
| |
Abstract: | In Calka et al. (2009), the decay of the probability of reaching distance at least r in some direction from a given point without hitting any ball, in the Poisson Boolean model of continuum percolation, was studied. The methods used in Calka et al. (2009) include coverage techniques, and the most precise results were obtained in dimension 2. In this note, we strengthen some of the results obtained in Calka et al. (2009) to dimension 3 and higher and at the same time extend them to more general random sets. |
| |
Keywords: | Visibility Continuum percolation |
本文献已被 ScienceDirect 等数据库收录! |
|