Abstract
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 [5]. In particular, using a recent result of [3] and a local modification argument, we prove there is no (random) direction with more than two geodesics with probability 1.
Citation
David Coupier. "Multiple geodesics with the same direction." Electron. Commun. Probab. 16 517 - 527, 2011. https://doi.org/10.1214/ECP.v16-1656
Information
