8 citations · 9 across the 4 of their papers we have counts for
8 papers
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…
Kostka Numbers and Longest Increasing Subsequences
Arjun Krishnan, Scott Neville
A classical bijection relates certain Kostka numbers, the Catalan numbers, and permutations of length with longest increasing subsequence (LIS) of length at most We genera…
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…