most citedCoalescing directed random walks on the backbone of a 1 +1-dimensional oriented percolation cluster converge to the Brownian web

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math.PR2018★ 1 cited

Coalescing directed random walks on the backbone of a 1 +1-dimensional oriented percolation cluster converge to the Brownian web

Matthias Birkner, Nina Gantert, Sebastian Steiber

We consider the backbone of the infinite cluster generated by supercritical oriented site percolation in dimension 1 +1. A directed random walk on this backbone can be seen as an "…