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The shape of large balls in highly supercritical percolation
Abstract : We exploit a connection between distances in the infinite percolation cluster, when the parameter is close to one, and the discrete-time TASEP on $\mathbb{Z}$. This shows that when the parameter goes to one, large balls in the cluster are asymptotically shaped near the axes like arcs of parabola.
Cited literature [13 references]
https://hal.archives-ouvertes.fr/hal-00819221
Contributor : Jean-Baptiste Gouéré Connect in order to contact the contributor
Submitted on : Tuesday, April 30, 2013 - 2:54:33 PM
Last modification on : Tuesday, November 16, 2021 - 4:59:03 AM
Long-term archiving on: : Tuesday, April 4, 2017 - 2:02:20 AM
Contributor : Jean-Baptiste Gouéré Connect in order to contact the contributor
Submitted on : Tuesday, April 30, 2013 - 2:54:33 PM
Last modification on : Tuesday, November 16, 2021 - 4:59:03 AM
Long-term archiving on: : Tuesday, April 4, 2017 - 2:02:20 AM
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BEGG-0430-Lyon.pdf
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