117 citations · 277 across the 16 of their papers we have counts for
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math.CA1999
A Fredholm determinant formula for Toeplitz determinants
Alexei Borodin, Andrei Okounkov
We prove a formula expressing a general n by n Toeplitz determinant as a Fredholm determinant of an operator 1-K acting on l_2({n,n+1,...}), where the kernel K admits an integral r…
math.RT1999
Infinite wedge and random partitions
Andrei Okounkov
Using techniques from integrable systems, we obtain a number of exact results for random partitions. In particular, we prove a simple formula for correlation functions of what we c…
math.CO1999
Random Matrices and Random Permutations
Andrei Okounkov
We prove the conjecture of Baik, Deift, and Johansson which says that with respect to the Plancherel measure on the set of partitions of , the 1st, 2nd, and so on, rows behave,…