9 citations · 10 across the 3 of their papers we have counts for
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math.CO1999
Riemann-Hilbert problem and the discrete Bessel kernel
Alexei Borodin
We use discrete analogs of Riemann-Hilbert problem's methods to derive the discrete Bessel kernel which describes the poissonized Plancherel measures for symmetric groups. To do th…
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…