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math.PR2021
Non-existence of non-trivial bi-infinite geodesics in Geometric Last Passage Percolation
Sean Groathouse, Christopher Janjigian, 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 wit…
math.PR2021★ 9 cited
Optimal-order exit point bounds in exponential last-passage percolation via the coupling technique
Elnur Emrah, Christopher Janjigian, Timo Seppäläinen
We develop a new probabilistic method for deriving deviation estimates in directed planar polymer and percolation models. The key estimates are for exit points of geodesics as they…