The generating function for the Bessel point process and a system of coupled Painlevé V equations
The generating function for the Bessel point process and a system of coupled Painlevé V equations
We study the joint probability generating function for [Formula: see text] occupancy numbers on disjoint intervals in the Bessel point process. This generating function can be expressed as a Fredholm determinant. We obtain an expression for it in terms of a system of coupled Painlevé V equations, which are derived …