Quantum Limits on product manifolds
Spectral Theory
2022-02-10 v1
Abstract
We establish some properties of quantum limits on a product manifold, proving for instance that, under appropriate assumptions, the quantum limits on the product of manifolds are absolutely continuous if the quantum limits on each manifolds are absolutely continuous. On a product of Riemannian manifolds satisfying the minimal multiplicity property, we prove that a periodic geodesic can never be charged by a quantum limit.
Keywords
Cite
@article{arxiv.2202.04379,
title = {Quantum Limits on product manifolds},
author = {Emmanuel Humbert and Yannick Privat and Emmanuel Trélat},
journal= {arXiv preprint arXiv:2202.04379},
year = {2022}
}