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math.PR2021
Negative correlation of adjacent Busemann increments
Ian Alevy, Arjun Krishnan
We consider i.i.d. last-passage percolation on with weights having distribution and time-constant . We provide an explicit condition on the large deviation…
math.PR2021★ 1 cited
Geodesic length and shifted weights in first-passage percolation
Arjun Krishnan, Firas Rassoul-Agha, Timo Seppäläinen
We study first-passage percolation through related optimization problems over paths of restricted length. The path length variable is in duality with a shift of the weights. This p…