Xiao Xiao

collaborators

2 papers

math.AP2026

Trace estimates and improved pointwise bounds for joint eigenfunctions

Xianchao Wu, Xiao Xiao

For $L^{2}$ -normalized joint eigenfunctions in a quantum integrable system, [GT20] gave polynomial improvements over the standard HÃ¶mander bounds for typical points. In this paper,…

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…

Trace estimates and improved pointwise bounds for joint eigenfunctions

L2 restriction bounds for analytic continuations of quantum ergodic Laplace eigenfunctions

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