Quantum ergodicity and quantum limits for sub-Riemannian Laplacians

DOI10.5802/slsedp.78zbMath1368.58016arXiv1505.01702OpenAlexW1929814834WikidataQ115158933 ScholiaQ115158933MaRDI QIDQ344598

Emmanuel Trélat, Luc Hillairet, Yves Colin de Verdière

Publication date: 23 November 2016

Published in: Séminaire Laurent Schwartz. EDP et Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.01702

zbMATH Keywords

Reeb flowquantum ergodicity (QE)quantum limits (QL)sub-Riemannian (sR) metric

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Elliptic equations on manifolds, general theory (58J05) Sub-Riemannian geometry (53C17) Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity (58J51)

Related Items (5)

The length spectrum of the sub-Riemannian three-sphere ⋮ Weyl's law for singular Riemannian manifolds ⋮ Spectral asymptotics for sub-Riemannian Laplacians. I: Quantum ergodicity and quantum limits in the 3-dimensional contact case ⋮ Spectral analysis and the Aharonov-Bohm effect on certain almost-Riemannian manifolds ⋮ Small-time asymptotics of hypoelliptic heat kernels near the diagonal, nilpotentization and related results

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