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math.PR2020
Precise deviations for disk counting statistics of invariant determinantal processes
Marcel Fenzl, Gaultier Lambert
We consider two-dimensional determinantal processes which are rotation-invariant and study the fluctuations of the number of points in disks. Based on the theory of mod-phi converg…
math.PR2020
Multivariate normal approximation for traces of random unitary matrices
Kurt Johansson, Gaultier Lambert
In this article, we obtain a super-exponential rate of convergence in total variation between the traces of the first powers of an random unitary matrices and a $2m…