Log-scale equidistribution of nodal sets in Grauert tubes

Robert Chang, Steve Zelditch

Let $M_{{\tau }_0}$ be the Grauert tube (of some fixed radius ${\tau }_0$) of a compact, negatively curved, real analytic Riemannian manifold $M$ without boundary. Let ${\varphi }_{\lambda }$ be a Laplacian eig…