Semi-classical measures for generalized plane waves. (English) Zbl 1320.58009
Summary: Following the author’s joint work with S. Dyatlov [Ann. Sci. Éc. Norm. Supér. (4) 47, No. 2, 371–448 (2014; Zbl 1297.58007)], we describe the semi-classical measures associated with generalized plane waves for metric perturbation of \(\mathbb{R}^d\), under the condition that the geodesic flow has trapped set \(K\) of Liouville measure 0.
MSC:
| 58J05 | Elliptic equations on manifolds, general theory |
| 58J51 | Relations between spectral theory and ergodic theory, e.g., quantum unique ergodicity |
| 58J45 | Hyperbolic equations on manifolds |
| 58J50 | Spectral problems; spectral geometry; scattering theory on manifolds |
Citations:
Zbl 1297.58007References:
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