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2011 Multiple geodesics with the same direction
David Coupier
Author Affiliations +
Electron. Commun. Probab. 16: 517-527 (2011). DOI: 10.1214/ECP.v16-1656

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

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David Coupier. "Multiple geodesics with the same direction." Electron. Commun. Probab. 16 517 - 527, 2011. https://doi.org/10.1214/ECP.v16-1656

Information

Accepted: 26 September 2011; Published: 2011
First available in Project Euclid: 7 June 2016

zbMATH: 1244.60093
MathSciNet: MR2836758
Digital Object Identifier: 10.1214/ECP.v16-1656

Subjects:
Primary: 60K35
Secondary: 82B43

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