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

Michele Ancona, Louis Gass, Thomas Letendre +1

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