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math.PR2020
A Note on the Reduction Principle for the Nodal Length of Planar Random Waves
Anna Vidotto
Inspired by the recent work [MRW20], we prove that the nodal length of a planar random wave , i.e. the length of its zero set , is asymptotically equivalent,…
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…