A remark on a theorem of Chatterjee and last passage percolation

Abstract

In this paper we prove universality of random matrix fluctuations of the last passage time of last passage percolation (LPP) in thin rectangles. The proof is a simple corollary of a theorem of Chatterjee. This gives an alternative (and more elementary) proof of the same result in Baik and Suidan (2005 Int. Math. Res. Not. 325–37) and Bodineau and Martin (2005 Electron. Commun. Probab. 10 105–12 (electronic)) in the special case of finite third moment.