Geodesic
Non-existence of bi-infinite geodesics in the exponential corner growth model
Forum of Mathematics, Sigma, Tome 8 (2020)

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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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     author = {M\'arton Bal\'azs and Ofer Busani and Timo Sepp\"al\"ainen},
     title = {Non-existence of bi-infinite geodesics in the exponential corner growth model},
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Márton Balázs; Ofer Busani; Timo Seppäläinen. Non-existence of bi-infinite geodesics in the exponential corner growth model. Forum of Mathematics, Sigma, Tome 8 (2020). doi: 10.1017/fms.2020.31

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