Quantum unique ergodicity for random bases of spectral projections
Spectral Theory
2013-08-21 v2
Abstract
We consider a random wave model introduced by Zelditch to study the behavior of typical quasi-modes on a Riemannian manifold. Using the exponential moment method, we show that random waves satisfy the quantum unique ergodicity property with probability one under mild growth assumptions.
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Cite
@article{arxiv.1306.3329,
title = {Quantum unique ergodicity for random bases of spectral projections},
author = {Kenneth Maples},
journal= {arXiv preprint arXiv:1306.3329},
year = {2013}
}
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8 pages