| Heydenreich, Markus; Hulshof, Tim; Jorritsma, Joost (2017): Structures in supercritical scale-free percolation. In: Annals of Applied Probability, Vol. 27, No. 4: pp. 2569-2604 |
Full text not available from 'Open Access LMU'.
DOI: 10.1214/16-AAP1270
Abstract
Scale-free percolation is a percolation model on Z(d) which can be used to model real-world networks. We prove bounds for the graph distance in the regime where vertices have infinite degrees. We fully characterize transience versus recurrence for dimension 1 and 2 and give sufficient conditions for transience in dimension 3 and higher. Finally, we show the existence of a hierarchical structure for parameters where vertices have degrees with infinite variance and obtain bounds on the cluster density.
| Item Type: | Journal article |
|---|---|
| Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
| Subjects: | 500 Science > 510 Mathematics |
| ISSN: | 1050-5164 |
| Language: | English |
| ID Code: | 53459 |
| Deposited On: | 14. Jun 2018 09:53 |
| Last Modified: | 04. Nov 2020 13:32 |
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