Propriétés génériques de l'application de Poincaré et des géodésiques périodiques généralisées
Séminaire Équations aux dérivées partielles (Polytechnique) (1985-1986), Talk no. 11, 12 p. 
@article{SEDP_1985-1986____A11_0,
     author = {Petkov, V. M. and Stojanov, L. N.},
     title = {Propri\'et\'es g\'en\'eriques de l'application de Poincar\'e et des g\'eod\'esiques p\'eriodiques g\'en\'eralis\'ees},
     journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique)},
     publisher = {Ecole Polytechnique, Centre de Math\'ematiques},
     year = {1985-1986},
     note = {talk:11},
     zbl = {0611.58048},
     mrnumber = {874570},
     language = {fr},
     url = {http://www.numdam.org/item/SEDP_1985-1986____A11_0}
}

Petkov, V. M.; Stojanov, L. N. Propriétés génériques de l'application de Poincaré et des géodésiques périodiques généralisées. Séminaire Équations aux dérivées partielles (Polytechnique) (1985-1986), Talk no. 11, 12 p. http://www.numdam.org/item/SEDP_1985-1986____A11_0/

[1] K. Andersson and R. Melrose, The propagation of singularities along gliding rays, Invent. Math., 41, (1977), p.197-232. | MR 494322 | Zbl 0373.35053

[2] M. Golubitsny and V. Guillemin, Stable mappings and their singularities Springer, New York, 1973. | MR 341518 | Zbl 0294.58004

[3] V. Guillemin, Sojourn time and asymptotic properties of the scattering matrix, Publ. R.I.M.S. Kyoto Univ. 12, Supl., (1977), p.69-88. | MR 448453 | Zbl 0381.35064

[4] V. Guillemin and R. Melrose, The Poisson summation formula for manifolds with boundary, Adv. in Math., 32, (1979), p.204-232. | MR 539531 | Zbl 0421.35082

[5] W. Klingenberg and F. Takens, Generic properties of geodesic flows, Math., Ann., 197, (1972), p. 323-334. | MR 307282 | Zbl 0225.58006

[6] V.F. Lazutkin, Convex billiard and eigenfunctions of the Laplace operator, Ed. Leningrad University, 1981, (in Russian). | MR 633153 | Zbl 0532.58031

[7] R. Melrose and I. Sjöstrand, Singularities in boundary value problems I, II, Comm. Pure Appl. Math., 31, (1978), p.593-617 and 35, (1982), p. 129-168. | Zbl 0368.35020

[8] V. Petkov, Propriétés génériques des rayons réfléchissants et applications aux problèmes spectraux, Séminaire Bony-Sjöstrand-Meyer, Ecole Polytechnique, Centre de Mathématiques, Exposé XII, 1984-1985. | Numdam | MR 819778 | Zbl 0597.35092

[9] V. Petkov, High frequency asymptotics of the scattering amplitude for non-convex bodies, Comm. in Partial Diff. Equations, 5, (1980), p.293-329. | MR 562545 | Zbl 0435.35065

[10] V. Petkov, Note on the distribution of poles of the scattering matrix, J. Math. Anal. Appl., 101, (1984), p.582-587. | MR 748591 | Zbl 0562.35065

[11] V. Petkov et P. Vogel, La représentation de l'application de Poincaré correspondant aux rayons périodiques réfléchissants, C.R. Acad. Sci. Paris, Ser.A, 296, (1983), p.633-635. | MR 705678 | Zbl 0543.35004

[12] V. Petkov and L. Stojanov, Periods of multiple reflecting rays and inverse spectral results, preprint.

[13] V. Petkov and L. Stojanov, Generic properties of the spectrum of the Poincaré map for multiple reflecting rays, preprint.

[14] V. Petkov and L. Stojanov, Sojourn time for reflecting scattered rays, preprint.

[15] L. Stojanov, Generic properties of periodic reflecting rays, preprint. | MR 922367 | Zbl 0619.58030

[16] L. Stojanov, Generic properties of scattered rays, C.R. Acad. Sci. Bulg. (to appear). | MR 868703 | Zbl 0605.58045