Additive functionals of the determinantal point process with confluent hypergeometric kernel converge to Gaussian with a Kolmogorov-Smirnov distance estimate as R tends to infinity.
Ehrhardt,A new algebraic approach to the Szeg˝ o-Widom limit theorem, Acta Mathematica Hungarica99(2003), 233-262
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Central limit theorem for the determinantal point process with the confluent hypergeometric kernel
Additive functionals of the determinantal point process with confluent hypergeometric kernel converge to Gaussian with a Kolmogorov-Smirnov distance estimate as R tends to infinity.