Universality of the nodal length of bivariate random trigonometric polynomials

Jürgen Angst, Guillaume Poly, Hung Pham Viet

We consider random trigonometric polynomials of the form \[ f_n(x,y)=\sum_{1\le k,l \le n} a_{k,l} \cos(kx) \cos(ly), \] where the entries $(a_{k,l}{)}_{k,l\ge 1}$ are i.i.d. random…