Mathematical Research Letters

Volume 20 (2013)

Number 6

Quantum unique ergodicity for random bases of spectral projections

Pages: 1115 – 1124

DOI: https://dx.doi.org/10.4310/MRL.2013.v20.n6.a10

Author

Kenneth Maples (Institut für Mathematik, Universität Zürich, Switzerland)

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.

Full Text (PDF format)

Accepted 9 October 2013

Published 13 June 2014