Geodesic
On the time constant in a dependent first passage percolation model
ESAIM: Probability and Statistics, Tome 18 (2014), pp. 171-184

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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.

DOI : 10.1051/ps/2013032
Classification : 60K35, 82B43
Keywords: first passage percolation, percolation, time constant, random coloring 
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     author = {Scholler, Julie},
     title = {On the time constant in a dependent first passage percolation model},
     journal = {ESAIM: Probability and Statistics},
     pages = {171--184},
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     year = {2014},
     doi = {10.1051/ps/2013032},
     mrnumber = {3230873},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/ps/2013032/}
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Scholler, Julie. On the time constant in a dependent first passage percolation model. ESAIM: Probability and Statistics, Tome 18 (2014), pp. 171-184. doi: 10.1051/ps/2013032

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