Stucki, Kaspar (2013). Continuum percolation for Gibbs point processes. Electronic communications in probability, 18(67), pp. 1-10. Institute of Mathematical Statistics 10.1214/ECP.v18-2837
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We consider percolation properties of the Boolean model generated by a Gibbs point process and balls with deterministic radius. We show that for a large class of Gibbs point processes there exists a critical activity, such that percolation occurs a.s. above criticality. For locally stable Gibbs point processes we show a converse result, i.e. they do not percolate a.s. at low activity.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematical Statistics and Actuarial Science |
UniBE Contributor: |
Stucki, Kaspar |
Subjects: |
300 Social sciences, sociology & anthropology > 360 Social problems & social services 500 Science > 510 Mathematics |
ISSN: |
1083-589X |
Publisher: |
Institute of Mathematical Statistics |
Language: |
English |
Submitter: |
Lutz Dümbgen |
Date Deposited: |
01 Apr 2014 03:22 |
Last Modified: |
05 Dec 2022 14:28 |
Publisher DOI: |
10.1214/ECP.v18-2837 |
ArXiv ID: |
1305.0492 |
BORIS DOI: |
10.7892/boris.41525 |
URI: |
https://boris.unibe.ch/id/eprint/41525 |
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