TY - JOUR
T1 - The shape of large balls in highly supercritical percolation
AU - Basdevant, Anne Laure
AU - Enriquez, Nathanaël
AU - Geriny, Lucas
AU - Gouéréz, Jean Baptiste
PY - 2014/2/28
Y1 - 2014/2/28
N2 - We exploit a connection between distances in the infinite percolation cluster, when the parameter is close to one, and the discrete-time TASEP on ℤ. This shows that when the parameter goes to one, large balls in the cluster are asymptotically shaped near the axes like arcs of parabola.
AB - We exploit a connection between distances in the infinite percolation cluster, when the parameter is close to one, and the discrete-time TASEP on ℤ. This shows that when the parameter goes to one, large balls in the cluster are asymptotically shaped near the axes like arcs of parabola.
KW - First-passage percolation
KW - Supercritical percolation
KW - TASEP
U2 - 10.1214/EJP.v19-3062
DO - 10.1214/EJP.v19-3062
M3 - Article
AN - SCOPUS:84897807443
SN - 1083-6489
VL - 19
JO - Electronic Journal of Probability
JF - Electronic Journal of Probability
M1 - 26
ER -