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math-ph2007
Quantum Ergodicity for products of hyperbolic planes
Dubi Kelmer
For manifolds with geodesic flow that is ergodic on the unit tangent bundle, the quantum ergodicity theorem implies that almost all Laplacian eigenfunctions become equidistributed…
math.NT2007★ 2 cited
On PAC Extensions and Scaled Trace Forms
Lior Bary-Soroker, Dubi Kelmer
Any non-degenerate quadratic form over a Hilbertian field (e.g., a number field) is isomorphic to a scaled trace form. In this work we extend this result to more general fields. In…