On the Time Constant in a Dependent First Passage Percolation Model

Details On the Time Constant in a Dependent First Passage Percolation Model On the Time Constant in a Dependent First Passage Percolation Model

2011-12-23

arxiv.org/abs/1112.5656v1

Mathematics

Probability

Scientific paper

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.

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