Geodesic
Asymptotics of eigenvalues of transmissions problems
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 16, Tome 138 (1984), pp. 137-145

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Asymptotics of eigenvalues of transmissions problems is studied by the method of wave equation. In case when set of periodic points of geodesic billiards has measure zero second term of asymptotics is computed. 
@article{ZNSL_1984_138_a9,
     author = {Yu. G. Safarov},
     title = {Asymptotics of eigenvalues of transmissions problems},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {137--145},
     publisher = {mathdoc},
     volume = {138},
     year = {1984},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a9/}
}
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Yu. G. Safarov. Asymptotics of eigenvalues of transmissions problems. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 16, Tome 138 (1984), pp. 137-145. http://geodesic.mathdoc.fr/item/ZNSL_1984_138_a9/