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

@article{Birkner2019CoalescingDR, title={Coalescing directed random walks on the backbone of a 1+1-dimensional oriented percolation cluster converge to the Brownian web}, author={Matthias C. F. Birkner and Nina Gantert and Sebastian Steiber}, journal={Latin American Journal of Probability and Mathematical Statistics}, year={2019} }

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 "ancestral line" of an individual sampled in the stationary discrete-time contact process. Such ancestral lineages were investigated in [BCDG13] where a central limit theorem for a single walker was proved. Here, we consider infinitely many coalescing walkers on the same backbone starting at each space-time point. We…

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