Galperin, G. A. Non-periodic and not everywhere dense billiard trajectories in convex polygons and polyhedrons. (English) Zbl 0529.70001 Commun. Math. Phys. 91, 187-211 (1983). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 11 Documents MSC: 70F99 Dynamics of a system of particles, including celestial mechanics 70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics 57R42 Immersions in differential topology Keywords:differential topology; billiard trajectories in convex polygons and polyhedrons; rational polygons; set of trajectories neither periodic nor everywhere dense; absolutely elastic balls PDFBibTeX XMLCite \textit{G. A. Galperin}, Commun. Math. Phys. 91, 187--211 (1983; Zbl 0529.70001) Full Text: DOI References: [1] Zemlyakov, A.N., Katok, A.B.: Topological transitivity of billiards in polygons. Mat. Zametki18, 291-300 (1975) · Zbl 0315.58014 [2] Boldrighini, C., Keane, M., Marchetti, F.: Billiards in polygons. Ann. Prob.6, 532-540 (1978) · Zbl 0377.28014 · doi:10.1214/aop/1176995475 [3] Zemlyakov, A.N.: Billiards and surfaces. Kvant9, 2-9 (1979) [4] Sinai, Ya.G.: An introduction to ergodic theory. Moscow: Erivan (Lecture 10), 1976 · Zbl 0375.28011 [5] Kornfeld, I.P., Sinai, Ya.G., Fomin, S.V.: Ergodic theory. Moscow: Nauka 1980 [6] Khinchin, A. Ya.: Continued fractions. Moscow 1961 · JFM 63.0924.02 [7] Galperin, G.A.: On systems of locally interacting and repelling particles moving in space. Trudy MMO,43, 142-196 (1981) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.