Louis Gass

collaborators

4 papers

math.PR2025

Tightness of Stationary Nodal Measures

Louis Gass, Giovanni Peccati

We study the rescaled nodal volume field $ξ_{R}$ associated with a smooth, stationary Gaussian field on $[0, R]^{d}$ , 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.PR2025

Zeros and critical points of Gaussian fields: cumulants asymptotics and limit theorems

Michele Ancona, Louis Gass, Thomas Letendre +1

Let $f : R^{d} \to R^{k}$ be a smooth centered stationary Gaussian field and $B \subset R^{d}$ be a bounded Borel set. In this paper, we determine the…

math.PR2025

Spectral Criteria for the Asymptotics of Local Functionals of Gaussian Fields and Their Application to Nodal Volumes and Critical Points

Louis Gass

We establish a general criterion for the positivity of the variance of a chaotic component of local functionals of stationary vector-valued Gaussian fields. This criterion is formu…