Mixed percolation as a bridge between site and bond percolation

Authors
Chayes, Lincoln Schonmann, Roberto H.
Citation
Chayes, Lincoln et H. Schonmann, Roberto, Mixed percolation as a bridge between site and bond percolation, Annals of applied probability , 10(4), 2000, pp. 1182-1196
Journal title
Annals of applied probability → ACNP
ISSN journal
10505164
Volume
10
Issue
4
Year of publication
2000
Pages
1182 - 1196
Database
ACNP
SICI code
Abstract
By using mixed percolation as a bridge between site and bond percolation, we derive a new inequality between the critical points of these processes that is optimal in a certain sense.We also extend a result on the crossover exponent of bond-diluted Potts models to site-diluted Potts models. Some newresults about the critical line in mixed percolation are also proved.