Quantum unique ergodicity for random bases of spectral projections
classification
🧮 math.SP
keywords
randomergodicityquantumuniqueassumptionsbasesbehaviorconsider
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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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