Sur les longueurs des trajectoires périodiques d'un billard

Yves Colin de Verdière

Séminaire de théorie spectrale et géométrie (1982-1983)

  • Volume: 1, page 1-18
  • ISSN: 1624-5458

How to cite

top

Colin de Verdière, Yves. "Sur les longueurs des trajectoires périodiques d'un billard." Séminaire de théorie spectrale et géométrie 1 (1982-1983): 1-18. <http://eudml.org/doc/114227>.

@article{ColindeVerdière1982-1983,
author = {Colin de Verdière, Yves},
journal = {Séminaire de théorie spectrale et géométrie},
language = {fre},
pages = {1-18},
publisher = {Institut Fourier},
title = {Sur les longueurs des trajectoires périodiques d'un billard},
url = {http://eudml.org/doc/114227},
volume = {1},
year = {1982-1983},
}

TY - JOUR
AU - Colin de Verdière, Yves
TI - Sur les longueurs des trajectoires périodiques d'un billard
JO - Séminaire de théorie spectrale et géométrie
PY - 1982-1983
PB - Institut Fourier
VL - 1
SP - 1
EP - 18
LA - fre
UR - http://eudml.org/doc/114227
ER -

References

top
  1. [B] G. BIRKHOFF. Dynamical Systems, (AMS Public.) chap.VI. Zbl0171.05402
  2. [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. Zbl0298.58006
  3. [G-M 1] GUILLEMIN - MELROSE. A cohomological invariant of discrete dynamical Systems (preprint). Zbl0482.58032
  4. [L] LAZUTKIN. The existence of caustics for a billiard problem in a convex domain. Math. USSR. Izv. 7 ( 1973), pp. 185-214. Zbl0277.52002
  5. [M-M] MARVIZI - MELROSE. Spectral invariant of convex planar regions. Journal of differential geometry 17 ( 1982), pp. 475-502. Zbl0492.53033MR679068
  6. [P] H. PORITZKI. Annals of Mathematics 5 ( 1950), pp. 446-470. 
  7. [B-N] BROWN - NEUMANN. Michigan Math. Journal 24 ( 1977), pp. 21-31. Zbl0402.55001MR448339
  8. [F] J.P. FRANCOISE. Thèse de 3ème cycle (Grenoble 1978). 
  9. [K] A. KATOK. Some remarks on Birkhoff and Mather twist map theorems. Ergod. Th. and Dynam. Syst. 2 ( 1982), pp. 185-194. Zbl0521.58048MR693974
  10. [M] J. MATHER. Existence of quasi-periodic orbits for twist homeomorphisms of the annulus. Topology 21 ( 1982), pp. 457-467. Zbl0506.58032MR670747
  11. [N] NEUMANN. Bull. Aust. Math. Soc. 17 ( 1977), pp. 375-389. Zbl0372.54041MR584597
  12. [S-M] SIEGEL - MOSER. Lectures on celestial mechanics. Zbl0817.70001
  13. [B-B] BALIAN - BLOCH. Annals of Physics, 69 ( 1972), pp. 76-160. Zbl0226.35070MR289962
  14. [G-M 2] GUILLEMIN - MELROSE. Adv. in Math. 32 ( 1979), pp. 204-232. Zbl0421.35082MR539531
  15. [H] HARTHONG. Thèse de 3ème cycle (Strasbourg 1976). 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.