Small Scale CLTs for the Nodal Length of Monochromatic Waves

Gauthier Dierickx, Ivan Nourdin, Giovanni Peccati +1

We consider the nodal length $L(\lambda )$ of the restriction to a ball of radius $r_{\lambda }$ of a {\it Gaussian pullback monochromatic random wave} of parameter $\lambda >0$ associated with a Riemann…