• Corpus ID: 244773243

Non-existence of non-trivial bi-infinite geodesics in Geometric Last Passage Percolation

  title={Non-existence of non-trivial bi-infinite geodesics in Geometric Last Passage Percolation},
  author={Sean Groathouse and Christopher Janjigian and Firas Rassoul-Agha},
— We show non-existence of non-trivial bi-infinite geodesics in the solvable last-passage percolation model with i.i.d. geometric weights. This gives the first example of a model with discrete weights where non-existence of nontrivial bi-infinite geodesics has been proven. Our proofs rely on the structure of the increment-stationary versions of the model, following the approach recently introduced by Balázs, Busani, and Seppäläinen. Most of our results work for a general weights distribution… 

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