75 citations
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Showing 2003Show all
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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.CO2003
Domino tilings and related models: space of configurations of domains with holes
Sebastien Desreux, Martin Matamala, Ivan Rapaport +1
We first prove that the set of domino tilings of a fixed finite figure is a distributive lattice, even in the case when the figure has holes. We then give a geometrical interpretat…