Geodesic
Quantum limits of sub-Laplacians via joint spectral calculus
Documenta mathematica, Tome 28 (2023) no. 1, pp. 55-104

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We establish two results concerning the quantum limits (QLs) of some sub-Laplacians. First, under a commutativity assumption on the vector fields involved in the definition of the sub- Laplacian, we prove that it is possible to split any QL into several pieces which can be studied separately, and which come from well-characterized parts of the associated sequence of eigenfunctions.
DOI : 10.4171/dm/908
Classification : 35H10, 35S05, 35P05, 81Q10
Mots-clés : Eigenfunction, hypoelliptic, sub-Laplacian, microlocal analysis 
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     author = {Cyril Letrouit},
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Cyril Letrouit. Quantum limits of sub-Laplacians via joint spectral calculus. Documenta mathematica, Tome 28 (2023) no. 1, pp. 55-104. doi: 10.4171/dm/908

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