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math.PR2025
Tightness of Stationary Nodal Measures
Louis Gass, Giovanni Peccati
We study the rescaled nodal volume field associated with a smooth, stationary Gaussian field on , whose covariance satisfies adequate integrability conditions. Our m…
math.PR2025
Universal Cancellations in Uniform Random Waves
Louis Gass, Domenico Marinucci, Giovanni Peccati +2
A vast literature over the past fifteen years has been devoted to the study of the geometric properties of Gaussian random waves. In this work, we investigate the geometric behavio…
math.PR2024
Nodal Volumes as Differentiable Functionals of Gaussian fields
Giovanni Peccati, Michele Stecconi
We characterize the absolute continuity of the law and the Malliavin-Sobolev regularity of random nodal volumes associated with smooth Gaussian fields on generic ma…