Uniqueness of the infinite entangled component in three-dimensional bond percolation

Authors
Haggstrom, O
Citation
O. Haggstrom, Uniqueness of the infinite entangled component in three-dimensional bond percolation, ANN PROBAB, 29(1), 2001, pp. 127-136
Citations number
14
Categorie Soggetti
Mathematics
Journal title
ANNALS OF PROBABILITY
ISSN journal
00911798 → ACNP
Volume
29
Issue
1
Year of publication
2001
Pages
127 - 136
Database
ISI
SICI code
0091-1798(200101)29:1<127:UOTIEC>2.0.ZU;2-V
Abstract
We prove uniqueness of the infinite entangled component for bond percolatio n on the three-dimensional cubic lattice above the entanglement critical pr obability. This improves earlier results by Grimmett and Holroyd.