Sur les longueurs des trajectoires périodiques d'un billard
Séminaire de théorie spectrale et géométrie, Volume 1  (1982-1983), Talk no. 3, 18 p.
@article{TSG_1982-1983__1__A3_0,
     author = {Colin de Verdi\`ere, Yves},
     title = {Sur les longueurs des trajectoires p\'eriodiques d'un billard},
     journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {1},
     year = {1982-1983},
     note = {talk:3},
     zbl = {1126.37307},
     language = {fr},
     url = {http://www.numdam.org/item/TSG_1982-1983__1__A3_0}
}
Colin de Verdière, Yves. Sur les longueurs des trajectoires périodiques d'un billard. Séminaire de théorie spectrale et géométrie, Volume 1 (1982-1983) , Talk no. 3, 18 p. http://www.numdam.org/item/TSG_1982-1983__1__A3_0/

[B] G. Birkhoff. Dynamical Systems, (AMS Public.) chap.VI. | Zbl 0171.05402

[D-L] Dvorin - Lazutkin. The existence of infinite number of elliptic and hyperbolic trajectories for a convex billiard. Functional analysis and its applications 7 ( 1973), pp. 103-109. | Zbl 0298.58006

[G-M 1] Guillemin - Melrose. A cohomological invariant of discrete dynamical Systems (preprint). | Zbl 0482.58032

[L] Lazutkin. The existence of caustics for a billiard problem in a convex domain. Math. USSR. Izv. 7 ( 1973), pp. 185-214. | Zbl 0277.52002

[M-M] Marvizi -Melrose. Spectral invariant of convex planar regions. Journal of differential geometry 17 ( 1982), pp. 475-502. | MR 679068 | Zbl 0492.53033

[P] H. Poritzki. Annals of Mathematics 5 ( 1950), pp. 446-470.

[B-N] Brown - Neumann. Michigan Math. Journal 24 ( 1977), pp. 21-31. | MR 448339 | Zbl 0402.55001

[F] J.P. Francoise. Thèse de 3ème cycle (Grenoble 1978).

[K] A. Katok. Some remarks on Birkhoff and Mather twist map theorems. Ergod. Th. and Dynam. Syst. 2 ( 1982), pp. 185-194. | MR 693974 | Zbl 0521.58048

[M] J. Mather. Existence of quasi-periodic orbits for twist homeomorphisms of the annulus. Topology 21 ( 1982), pp. 457-467. | MR 670747 | Zbl 0506.58032

[N] Neumann. Bull. Aust. Math. Soc. 17 ( 1977), pp. 375-389. | MR 584597 | Zbl 0372.54041

[S-M] Siegel - Moser. Lectures on celestial mechanics. | Zbl 0817.70001

[B-B] Balian - Bloch. Annals of Physics, 69 ( 1972), pp. 76-160. | MR 289962 | Zbl 0226.35070

[G-M 2] Guillemin - Melrose. Adv. in Math. 32 ( 1979), pp. 204-232. | MR 539531 | Zbl 0421.35082

[H] Harthong. Thèse de 3ème cycle (Strasbourg 1976).