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

Wednesday, 17 January, 2018

Published in: 

arXiv:1801.05777

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

Author(s): 

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