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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.
- bi-infinite, corner growth model, directed percolation, geodesic, random growth model, last-passage percolation, queues
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- 1 Finished
1/06/18 → 20/05/22