Partially localized quasimodes in large subspaces

DOI10.1007/s11856-013-0027-6zbMath1301.30037arXiv1111.1626OpenAlexW1988509515MaRDI QIDQ375520

Shimon Brooks

Publication date: 31 October 2013

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1626

zbMATH Keywords

Laplacian operatorcompact hyperbolic surfaceHecke operatorquasimodesquantum unique ergodicity

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Compact Riemann surfaces and uniformization (30F10) Spectral theory; eigenvalue problems on manifolds (58C40) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Related Items (2)

Joint quasimodes, positive entropy, and quantum unique ergodicity ⋮ Eisenstein quasimodes and QUE

Cites Work

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• Scarring on invariant manifolds for perturbed quantized hyperbolic toral automorphisms
• Invariant measures and arithmetic unique ergodicity. Appendix by E. Lindenstrauss and D. Rudolph
• Recent progress on the quantum unique ergodicity conjecture

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