John A. Toth

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math.AP2026

Non-concentration estimates for Laplace eigenfunctions on compact $C^{\infty}$ manifolds with boundary

Hans Christianson, John A. Toth

Let $I^c ◯$ be an $n$ -dimensional compact Riemannian manifold $(n \geq 3)$ with $C^{\infty}$ boundary, and consider $L^{2}$ -normalized eigenfunctions $- I^ I ¨ _{I^} » = I^»^{2} I ¨ _{I^} »$ with Dirich…

math.AP2025

$L^{2}$ restriction bounds for analytic continuations of quantum ergodic Laplace eigenfunctions

John A. Toth, Xiao Xiao

We prove a quantum ergodic restriction (QER) theorem for real hypersurfaces $I^£ \subset X,$ where $X$ is the Grauert tube associated with a real-analytic, compact Riemannian manifol…

Non-concentration estimates for Laplace eigenfunctions on compact C∞ manifolds with boundary

L2 restriction bounds for analytic continuations of quantum ergodic Laplace eigenfunctions

Non-concentration estimates for Laplace eigenfunctions on compact $C^{\infty}$ manifolds with boundary

$L^{2}$ restriction bounds for analytic continuations of quantum ergodic Laplace eigenfunctions