On quantum ergodicity for vector bundles

DOI10.1007/s10440-006-9029-2zbMath1141.81011arXivmath/0411558OpenAlexW2046669968MaRDI QIDQ2498371

Ulrich Bunke, Martin Olbrich

Publication date: 16 August 2006

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0411558

zbMATH Keywords

quantum ergodicitylocally symmetric spacequantum unique ergodicity

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Applications of operator theory in the physical sciences (47N50) Quantum chaos (81Q50) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Semisimple Lie groups and their representations (22E46) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (4)

A Haar component for quantum limits on locally symmetric spaces ⋮ High energy limits of Laplace-type and Dirac-type eigenfunctions and frame flows ⋮ Quantum ergodicity and symmetry reduction ⋮ Triple product \(L\)-functions and quantum chaos on \(\mathrm{SL}(2,\mathbb C)\)

Cites Work

• Ergodicity and eigenfunctions of the Laplacian
• Uniform distribution of eigenfunctions on compact hyperbolic surfaces
• The behaviour of eigenstates of arithmetic hyperbolic manifolds
• On quantum unique ergodicity for locally symmetric spaces
• Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
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