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Multiple geodesics with the same direction

   
@article{ECP1656,
	author = {David Coupier},
	title = {Multiple geodesics with the same direction},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {16},
	year = {2011},
	keywords = {geodesic; last-passage percolation; topological end; random tree},
	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.},
	pages = {no. 46, 517-527},
	issn = {1083-589X},
	doi = {10.1214/ECP.v16-1656},    
        url = {http://ecp.ejpecp.org/article/view/1656}}