Stochastic Domination for the Last Passage Percolation Model
D. Coupier, P. Heinrich
2011, v.17, Issue 1, 37-48
ABSTRACT
A competition model on $Z_{+}^{2}$ governed by directed last passage percolation is considered. A stochastic domination argument between subtrees of the last passage percolation is put forward.
Keywords: last passage percolation,stochastic domination,optimal path,random tree,competition interface
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