Structure of transversal leaves in multidimensional semidispersing billiards

Ya. G. Sinai, "Dynamical systems with elastic reflections. Ergodic properties of dissipating billiards," Usp. Mat. Nauk,25, No. 2, 141–191 (1970). L. A. Bunimovich and Ya. G. Sinai, "A theorem of the theory of dissipating billiards," Mat. Sb.,90, 415–431 (1973). Ya. B. Pesin, "Lyapunov characteristic exponents and smooth ergodic theory," Usp. Mat. Nauk,32, No. 4, 55–112 (1977). Ya. B. Pesin, "Families of invariant manifolds, corresponding to nonzero characteristic exponents," Izv. Akad. Nauk SSSR, Ser. Mat.,40, 1332–1379 (1976). I. P. Kornfel'd, Ya. G. Sinai, and S. V. Fomin, Ergodic Theory [in Russian], Nauka, Moscow (1980). Ya. G. Sinai, "Entropy per particle for the dynamical system of Hard spheres," Preprint, Harvard University (1978). A. Katok and J. M. Strelcyn, "Invariant manifolds for smooth maps with singularities," Preprint, University of Maryland (1980). Ya. G. Sinai, "Development of Krylov's ideas," in: N. S. Krylov, Works on the Foundations of Statistical Physics, Princeton University Press, Princeton (1979), pp. 239–281. H. Federer, "Curvature measures," Trans. Am. Math. Soc.,93, 418–491 (1959). Ya. G. Sinai, "Ergodic properties of a Lorentz gas," Funkts. Anal.,13, No. 3, 46–59 (1979). L. A. Bunimovich and Ya. G. Sinai, "Markov partitions for dispersed billiards," Commun. Math. Phys.,78, 247–280 (1980). L. A. Bunimovich and Ya. G. Sinai, "Statistical properties of Lorentz gas with periodic configurations of scatterers," Commun. Math. Phys.,78, 479–497 (1981). D. V. Anosov and Ya. G. Sinai, "Some smooth ergodic systems," Usp. Mat. Nauk,22, No. 5, 107–172 (1967). Ya. G. Sinai, "Classical dynamical systems with countably multiple Lebesgue spectrum. II," Izv. Akad. Nauk SSSR, Ser. Mat., 30, No. 1, 15–68 (1966).