ON THE NUMBER OF MAXIMAL PATHS IN DIRECTED LAST-PASSAGE PERCOLATION
成果类型：
Article
署名作者：
Duminil-Copin, Hugo; Kesten, Harry; Nazarov, Fedor; Peres, Yuval; Sidoravicius, Vladas
署名单位：
University of Geneva; Cornell University; University System of Ohio; Kent State University; Kent State University Salem; Kent State University Kent; Microsoft; New York University; NYU Shanghai
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/19-AOP1419
发表日期：
2020
页码：
2176-2188
关键词：
摘要：
We show that the number of maximal paths in directed last-passage percolation on the hypercubic lattice Z(d) (d >= 2) in which weights take finitely many values is typically exponentially large.