John A. Toth

activity

20232025

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math.AP2024

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

Hans Christianson, John A. Toth

Let $Ω$ be an $n$ -dimensional compact Riemannian manifold $(n \geq 3)$ with $C^{\infty}$ boundary, and consider $L^{2}$ -normalized eigenfunctions $- Δ ϕ_{λ} = λ^{2} ϕ_{λ}$ with Dirichlet or…

math.AP2024

Quantum Flux and Quantum Ergodicity for Cross Sections

Hans Christianson, John Toth

For sequences of quantum ergodic eigenfunctions, we define the quantum flux norm associated to a codimension $1$ submanifold $Σ$ of a non-degenerate energy surface. We prove restri…

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

Quantum Flux and Quantum Ergodicity for Cross Sections

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