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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…