Quantum unique ergodicity for random bases of spectral projections

Published 14 Jun 2013 in math.SP | (1306.3329v2)

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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Kenneth Maples

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