8 citations · 9 across the 4 of their papers we have counts for
7 papers · 1 filter
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…
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…
Stationary coalescing walks on the lattice II: Entropy
Jon Chaika, Arjun Krishnan
This paper is a sequel to Chaika and Krishnan [arXiv:1612.00434]. We again consider translation invariant measures on families of nearest-neighbor semi-infinite walks on the intege…
Stationary coalescing walks on the lattice
Jon Chaika, Arjun Krishnan
We consider translation invariant measures on families of nearest-neighbor semi-infinite walks on the integer lattice. We assume that once walks meet, they coalesce. In , we cl…
Tracy-Widom fluctuations for perturbations of the log-gamma polymer in intermediate disorder
Arjun Krishnan, Jeremy Quastel
The free-energy fluctuations of the discrete directed polymer in 1+1 dimensions is conjecturally in the Tracy-Widom universality class at all finite temperatures and in the interme…
Variational formula for the time-constant of first-passage percolation
Arjun Krishnan
We consider first-passage percolation with positive, stationary-ergodic weights on the square lattice . Let be the first-passage time from the origin to a poin…
Variational formula for the time-constant of first-passage percolation
Arjun Krishnan
We consider first-passage percolation with positive, stationary-ergodic weights on the square lattice . Let be the first-passage time from the origin to a poin…