# Non-existence of bi-infinite geodesics in the exponential corner growth model

@article{Balazs2020NonexistenceOB,
title={Non-existence of bi-infinite geodesics in the exponential corner growth model},
author={Marton E. Balazs and Ofer Busani and Timo Sepp{\"a}l{\"a}inen},
journal={Forum of Mathematics, Sigma},
year={2020},
volume={8}
}
• Published 15 September 2019
• Mathematics
• Forum of Mathematics, Sigma
Abstract This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights. The techniques used are couplings, coarse graining, and control of geodesics through planarity and estimates derived from increment-stationary versions of the last-passage percolation process.

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