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 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.
Citation
Anne-Laure Basdevant. Nathanaël Enriquez. Lucas Gerin. Jean-Baptiste Gouéré. "The shape of large balls in highly supercritical percolation." Electron. J. Probab. 19 1 - 14, 2014. https://doi.org/10.1214/EJP.v19-3062
Information
