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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.PR2019
Asymptotic results for stabilizing functionals of point processes having fast decay of correlations
Marcel Fenzl
We establish precise bounds on cumulants for a rather general class of non-linear geometric functionals satisfying the stabilization property under a simple, stationary (marked) po…