35 citations · 84 across the 24 of their papers we have counts for
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math.PR2010★ 35 cited
The 2d-Directed Spanning Forest is almost surely a tree
David Coupier, Viet Chi Tran
We consider the Directed Spanning Forest (DSF) constructed as follows: given a Poisson point process N on the plane, the ancestor of each point is the nearest vertex of N having a…
math.PR2010★ 2 cited
Coexistence probability in the last passage percolation model is
David Coupier, Philippe Heinrich
A competition model on between three clusters and governed by directed last passage percolation is considered. We prove that coexistence, i.e. the three clusters are simul…