Billiards in polygons

[1]  Y. Sinai,et al.  BILLIARD TRAJECTORIES IN A POLYHEDRAL ANGLE , 1978 .

[2]  S. V. Fomin,et al.  Ergodic Theory , 1982 .

[3]  E. A. Sataev.  ON THE NUMBER OF INVARIANT MEASURES FOR FLOWS ON ORIENTABLE SURFACES , 1975 .

[4]  M. V. Berry,et al.  Pseudointegrable systems in classical and quantum mechanics , 1981 .

[5]  Steven P. Kerckhoff,et al.  Ergodicity of billiard flows and quadratic differentials , 1986 .

[6]  J. Smillie,et al.  A rational billiard flow is uniquely ergodic in almost every direction , 1985 .

[7]  L. Bunimovich.  On the ergodic properties of nowhere dispersing billiards , 1979 .

[8]  F. Henyey,et al.  The autocorrelation function of a pseudointegrable system , 1982 .

[9]  Maciej P. Wojtkowski,et al.  Principles for the design of billiards with nonvanishing Lyapunov exponents , 1986, Hamiltonian Dynamical Systems.

[10]  A. N. Zemlyakov,et al.  Topological transitivity of billiards in polygons , 1975 .

[11]  W. Veech.  Finite group extensions of irrational rotations , 1975 .

[12]  Y. Sinai,et al.  Dynamical systems with elastic reflections , 1970 .

[13]  G. Gal'perin.  ELASTIC COLLISIONS OF PARTICLES ON A LINE , 1978 .

[14]  V. Arnold.  Mathematical Methods of Classical Mechanics , 1974 .

[15]  E. Gutkin.  Billiards on almost integrable polyhedral surfaces , 1984, Ergodic Theory and Dynamical Systems.

[16]  A. Katok.  Interval exchange transformations and some special flows are not mixing , 1980 .

[17]  G. Galperin.  Non-periodic and not everywhere dense billiard trajectories in convex polygons and polyhedrons , 1983 .

[18]  V F Lazutkin,et al.  THE EXISTENCE OF CAUSTICS FOR A BILLIARD PROBLEM IN A CONVEX DOMAIN , 1973 .

[19]  M. Boshernitzan.  A condition for minimal interval exchange maps to be uniquely ergodic , 1985 .

[20]  C. Boldrighini,et al.  Billiards in Polygons , 1978 .

[21]  Y. C. Verdière.  Sur les longueurs des trajectoires périodiques d'un billard , 1983 .

[22]  R. Kershner,et al.  Concerning the transitive properties of geodesics on a rational polyhedron , 1936 .