Abstract
We show that the number of maximal paths in directed last-passage percolation on the hypercubic lattice ${\mathbb{Z}}^{d}$ $(d\geq 2)$ in which weights take finitely many values is typically exponentially large.
Citation
Hugo Duminil-Copin. Harry Kesten. Fedor Nazarov. Yuval Peres. Vladas Sidoravicius. "On the number of maximal paths in directed last-passage percolation." Ann. Probab. 48 (5) 2176 - 2188, September 2020. https://doi.org/10.1214/19-AOP1419
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