| Issue |
ESAIM: PS
Volume 18, 2014
|
|
|---|---|---|
| Page(s) | 171 - 184 | |
| DOI | https://doi.org/10.1051/ps/2013032 | |
| Published online | 27 March 2014 | |
On the time constant in a dependent first passage percolation model
Universitéde Lorraine, Institut Élie Cartan de Lorraine, UMR 7502, 54506
Vandoeuvre-lès-Nancy, France
Julie.Scholler@univ-lorraine.fr
Received:
12
January
2012
Revised:
7
December
2012
We pursue the study of a random coloring first passage percolation model introduced by Fontes and Newman. We prove that the asymptotic shape of this first passage percolation model continuously depends on the law of the coloring. The proof uses several couplings, particularly with greedy lattice animals.
Mathematics Subject Classification: 60K35 / 82B43
Key words: First passage percolation / percolation / time constant / random coloring
© EDP Sciences, SMAI, 2014
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