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Subjects
58-XX Global analysis, analysis on manifolds
58Jxx Partial differential equations on manifolds; differential operators
58J51 Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity

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Semi-classical measures for generalized plane waves

Colin Guillarmou (2011/2012)

Séminaire Laurent Schwartz — EDP et applications

Following joint work with Dyatlov [DyGu], we describe the semi-classical measures associated with generalized plane waves for metric perturbation of $ℝ^{d}$ , under the condition that the geodesic flow has trapped set $K$ of Liouville measure $0$ .

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