3 papers
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.PR2019
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…
math.CO2019
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…