151 citations · 698 across the 48 of their papers we have counts for
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math.PR2001★ 1 cited
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…
math-ph2001★ 14 cited
Fredholm determinants, Jimbo-Miwa-Ueno tau-functions, and representation theory
Alexei Borodin, Percy Deift
The authors show that a wide class of Fredholm determinants arising in the representation theory of "big" groups such as the infinite-dimensional unitary group, solve Painleve equa…
math.CO2001★ 21 cited
A Fredholm Determinant Identity and the Convergence of Moments for Random Young Tableaux
Jinho Baik, Percy Deift, Eric Rains
We obtain an identity between Fredholm determinants of two kinds of operators, one acting on functions on the unit circle and the other acting on functions on a subset of the integ…