On the time constant in a dependent first passage percolation model

Julie Scholler

ESAIM: Probability and Statistics (2014)

  • Volume: 18, page 171-184
  • ISSN: 1292-8100

Abstract

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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.

How to cite

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Scholler, Julie. "On the time constant in a dependent first passage percolation model." ESAIM: Probability and Statistics 18 (2014): 171-184. <http://eudml.org/doc/274355>.

@article{Scholler2014,
abstract = {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.},
author = {Scholler, Julie},
journal = {ESAIM: Probability and Statistics},
keywords = {first passage percolation; percolation; time constant; random coloring},
language = {eng},
pages = {171-184},
publisher = {EDP-Sciences},
title = {On the time constant in a dependent first passage percolation model},
url = {http://eudml.org/doc/274355},
volume = {18},
year = {2014},
}

TY - JOUR
AU - Scholler, Julie
TI - On the time constant in a dependent first passage percolation model
JO - ESAIM: Probability and Statistics
PY - 2014
PB - EDP-Sciences
VL - 18
SP - 171
EP - 184
AB - 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.
LA - eng
KW - first passage percolation; percolation; time constant; random coloring
UR - http://eudml.org/doc/274355
ER -

References

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  12. [12] H. Kesten, Aspects of first passage percolation. In École d’été de probabilités de Saint-Flour, XIV—1984, vol. 1180 of Lect. Notes in Math. Springer, Berlin (1986) 125–264. Zbl0602.60098MR876084
  13. [13] H. Kesten, First-passage percolation. From classical to modern probability, in vol. 54 of Progr. Probab. Birkhäuser, Basel (2003) 93–143. Zbl1041.60077MR2045986
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