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math-ph2002★ 9 cited
Janossy Densities I. Determinantal Ensembles
Alexei Borodin, Alexander Soshnikov
We derive an elementary formula for Janossy densities for determinantal point processes with a finite rank projection-type kernel. In particular, for beta=2 polynomial ensembles of…
math.CA2002★ 1 cited
Isomonodromy transformations of linear systems of difference equations
Alexei Borodin
We introduce and study isomonodromy transformations of the matrix linear difference equation Y(z+1)=A(z)Y(z) with polynomial (or rational) A(z). Our main result is a construction o…