Some two-dimensional finite energy percolation processes
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1. | Title | Title of document | Some two-dimensional finite energy percolation processes |
2. | Creator | Author's name, affiliation, country | Olle Häggström; Chalmers University of Technology |
2. | Creator | Author's name, affiliation, country | Péter Mester; Indiana University |
3. | Subject | Discipline(s) | |
3. | Subject | Keyword(s) | percolation, uniform finite energy, coexistence |
3. | Subject | Subject classification | 60K35 |
4. | Description | Abstract | Some examples of translation invariant site percolation processes on the $Z^2$ lattice are constructed, the most far-reaching example being one that satisfies uniform finite energy (meaning that the probability that a site is open given the status of all others is bounded away from 0 and 1) and exhibits a.s. the coexistence of an infinite open cluster and an infinite closed cluster. Essentially the same example shows that coexistence is possible between an infinite open cluster and an infinite closed cluster that are both robust under i.i.d. thinning. |
5. | Publisher | Organizing agency, location | |
6. | Contributor | Sponsor(s) | Swedish Research Council, Goran Gustafsson Foundation for Research in the Natural Sciences and Medicine, Hungarian Scientific Research Fund |
7. | Date | (YYYY-MM-DD) | 2009-02-04 |
8. | Type | Status & genre | Peer-reviewed Article |
8. | Type | Type | |
9. | Format | File format | |
10. | Identifier | Uniform Resource Identifier | http://ecp.ejpecp.org/article/view/1446 |
10. | Identifier | Digital Object Identifier | 10.1214/ECP.v14-1446 |
11. | Source | Journal/conference title; vol., no. (year) | Electronic Communications in Probability; Vol 14 |
12. | Language | English=en | |
14. | Coverage | Geo-spatial location, chronological period, research sample (gender, age, etc.) | |
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