Multiple geodesics with the same direction

Details Multiple geodesics with the same direction Multiple geodesics with the same direction

2011-04-07

arxiv.org/abs/1104.1321v1

Mathematics

Probability

10 pages, 1 figure

Scientific paper

The directed last-passage percolation (LPP) model with independent exponential times is considered. We complete the study of asymptotic directions of infinite geodesics, started by Ferrari and Pimentel \cite{FP}. In particular, using a recent result of \cite{CH2} and a local modification argument, we prove there is no (random) direction with more than two geodesics with probability 1.

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