3 papers
math.PR2026
Scars in random waves and the FGF 1/2 universality class
Louis Gass, Giovanni Peccati, Michele Stecconi
We study the large-domain asymptotics of geometric observables in Berry's random wave model on . We show that, in sharp contrast with the behavior of stationary rando…
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…
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…