Arbitrarily small perturbations of Dirichlet Laplacians are quantum unique ergodic

Sourav Chatterjee, Jeffrey Galkowski

Given an Euclidean domain with very mild regularity properties, we prove that there exist perturbations of the Dirichlet Laplacian of the form $-(I+S_{\epsilon })\Delta$ with $\|S_ε\|_{L^2\to L^2…