On the geometry of the nodal lines of eigenfunctions of the two-dimensional torus (Q639272)

The width of nodal lines of the Laplacian's eigenfunctions on the standard flat torus \(\mathbb{T}^2=\mathbb{R}^2/\mathbb{Z}^2\) is considered. The authors prove a conglomeration of results on the width. Some of those improve existing versions under the assumption that the Cilleruelo-Granville conjecture holds.