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arXiv · 1801.05777

On the number of maximal paths in directed last-passage percolation

Hugo Duminil-Copin·Harry Kesten·Fedor Nazarov·Yuval Peres·Vladas Sidoravicius
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Abstract

We show that the number of maximal paths in directed last-passage percolation on the hypercubic lattice ${\mathbb Z}^d$ $(d\geq2)$ in which weights take finitely many values is typically exponentially large.

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Hugo Duminil-Copin, Harry Kesten, Fedor Nazarov, Yuval Peres, Vladas Sidoravicius. 2018-01-17. On the number of maximal paths in directed last-passage percolation. https://arxiv.org/abs/1801.05777

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