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math.PR2020
Lipschitz-Killing Curvatures for Arithmetic Random Waves
Valentina Cammarota, Domenico Marinucci, Maurizia Rossi
In this paper, we show that the Lipschitz-Killing Curvatures for the excursion sets of Arithmetic Random Waves (toral Gaussian eigenfunctions) are dominated, in the high-frequency…
math.PR2020
Non-Universal Fluctuations of the Empirical Measure for Isotropic Stationary Fields on
Domenico Marinucci, Maurizia Rossi, Anna Vidotto
In this paper, we consider isotropic and stationary real Gaussian random fields defined on and we investigate the asymptotic behavior, as $T\rightarr…