85 citations · 124 across the 6 of their papers we have counts for
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math.PR2003★ 2 cited
Reconstruction thresholds on regular trees
James B. Martin
We consider a branching random walk with binary state space and index set , the infinite rooted tree in which each node has k children (also known as the model of "broadcastin…
math.PR2003★ 85 cited
Limiting shape for directed percolation models
James B. Martin
We consider directed first-passage and last-passage percolation on the nonnegative lattice Z_+^d, d\geq2, with i.i.d. weights at the vertices. Under certain moment conditions on th…