Jahnel, Benedikt and Tóbiás, András József and Cali, Elie (2022) Phase transitions for the Boolean model of continuum percolation for Cox point processes. BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, 36 (1). pp. 20-44. ISSN 0103-0752
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Official URL: https://doi.org/10.1214/21-BJPS514
Abstract
We consider the Boolean model with random radii based on Cox point processes. Under a condition of stabilization for the random environment, we establish existence and non-existence of subcritical regimes for the size of the cluster at the origin in terms of volume, diameter and number of points. Further, we prove uniqueness of the infinite cluster for sufficiently connected environments.
| Item Type: | Article |
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| Additional Information: | Cited By :1 Export Date: 22 February 2023 |
| Subjects: | H Social Sciences / társadalomtudományok > HA Statistics / statisztika Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 04 Sep 2025 08:00 |
| Last Modified: | 04 Sep 2025 08:00 |
| URI: | https://real.mtak.hu/id/eprint/223388 |
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