45 citations · 65 across the 6 of their papers we have counts for
7 papers · 1 filter
A GUE Central Limit Theorem and Universality of Directed First and Last Passage Site Percolation
Jinho Baik, Toufic M. Suidan
We prove a GUE central limit theorem for random variables with finite fourth moment. We apply this theorem to prove that the directed first and last passage percolation problems in…
Phase transition of the largest eigenvalue for non-null complex sample covariance matrices
Jinho Baik, Gerard Ben Arous, Sandrine Peche
We compute the limiting distributions of the largest eigenvalue of a complex Gaussian sample covariance matrix when both the number of samples and the number of variables in each s…
Limiting distribution of last passage percolation models
Jinho Baik
We survey some results and applications of last percolation models of which the limiting distribution can be evaluated.
Optimal tail estimates for directed last passage site percolation with geometric random variables
Jinho Baik, Percy Deift, Ken McLaughlin +2
In this paper, we obtain optimal uniform lower tail estimates for the probability distribution of the properly scaled length of the longest up/right path of the last passage site p…
Riemann-Hilbert problems for last passage percolation
Jinho Baik
Last three years have seen new developments in the theory of last passage percolation, which has variety applications to random permutations, random growth and random vicious walks…
Limiting distributions for a polynuclear growth model with external sources
Jinho Baik, Eric Rains
The purpose of this paper is to investigate the limiting distribution functions for a polynuclear growth model with two external sources, which was considered by Prähofer and Spohn…