Resumen de Distances in the highly supercritical percolation cluster
Anne-Laure Basdevant, Nathanaël Enriquez, Lucas Gerin
On the supercritical percolation cluster with parameter p, the distances between two distant points of the axis are asymptotically increased by a factor 1+1−p2+o(1−p) with respect to the usual distance. The proof is based on an apparently new connection with the TASEP (totally asymmetric simple exclusion process).
