John A. Toth

Riemannian manifolds with uniformly bounded eigenfunctions

The standard eigenfunctions

Lp Norms of Eigenfunctions in the Completely Integrable Case

\phi_{\lambda} = e^{i }

Asymptotic Statistics of Zeroes for the Lamé Ensemble

on flat tori

L2-Restriction Bounds for Eigenfunctions Along Curves in the Quantum Completely Integrable Case

\R^n / L

A Law of Large Numbers for the Zeroes of Heine–Stieltjes Polynomials

have

Nodal length of Steklov eigenfunctions on real-analytic Riemannian surfaces

L^{\infty}

Nodal Sets of Schrödinger Eigenfunctions in Forbidden Regions

-norms bounded independently of the eigenvalue. In the case of irrational flat tori, it follows that

On the distribution of perturbations of propagated Schrödinger eigenfunctions

L^2

Averages of Eigenfunctions Over Hypersurfaces

-normalized eigenfunctions have uniformly bounded

Eigenfunction scarring and improvements in L∞ bounds

L^{\infty}