메뉴 건너뛰기
SIAM Review
Volumn 42, Issue 4, 2000, Pages 657-670
On periodic billiard trajectories in obtuse triangles
Author keywords

[No Author keywords available]
Indexed keywords

ASYMPTOTIC STABILITY; CONFORMAL MAPPING; MATHEMATICAL TRANSFORMATIONS; PARAMETER ESTIMATION; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; SET THEORY; THEOREM PROVING; TOPOLOGY; VARIATIONAL TECHNIQUES;
EID: 0343408151     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036144599355725     Document Type: Article
Times cited : (16)
References (15)
  • 1
    • 0002146672 scopus 로고
    • Ergodicité générique des billards polygonaux (d'apres Kerckhoff, Masur, Smillie)
    • P. ARNOUX, Ergodicité générique des billards polygonaux (d'apres Kerckhoff, Masur, Smillie), Asterisque, 696 (1988), pp. 203-221.
    • (1988) Asterisque , vol.696 , pp. 203-221
    • Arnoux, P.1
  • 3
    • 0000706198 scopus 로고
    • Billiards and rational periodic directions in polygons
    • M. D. BOSHERNITZAN, Billiards and rational periodic directions in polygons, Amer. Math. Monthly, 99 (1992), pp. 522-529.
    • (1992) Amer. Math. Monthly , vol.99 , pp. 522-529
    • Boshernitzan, M.D.1
  • 5
    • 0342336184 scopus 로고
    • Notes on closed billiard ball trajectories in polygonal domains II
    • F. G. FRIEDLANDER, Notes on closed billiard ball trajectories in polygonal domains II, Comm. Partial Differential Equations, 16 (1991), pp. 1687-1694.
    • (1991) Comm. Partial Differential Equations , vol.16 , pp. 1687-1694
    • Friedlander, F.G.1
  • 6
    • 0343641399 scopus 로고
    • The existence of nonperiodic and not everywhere dense billiard trajectories in polygons and polyhedra
    • G. A. GAL'PERIN, The existence of nonperiodic and not everywhere dense billiard trajectories in polygons and polyhedra, Dokl. Akad. Nauk SSSR, 275 (1984), pp. 18-22.
    • (1984) Dokl. Akad. Nauk SSSR , vol.275 , pp. 18-22
    • Gal'perin, G.A.1
  • 8
    • 84956110926 scopus 로고
    • Periodic billiard trajectories in polygons: Generation mechanisms
    • G. A. GAL'PERIN, A. M. STEPIN, AND Y. B. VOROBETS, Periodic billiard trajectories in polygons: Generation mechanisms, Russian Math. Surveys, 47 (1992), pp. 5-80.
    • (1992) Russian Math. Surveys , vol.47 , pp. 5-80
    • Gal'perin, G.A.1    Stepin, A.M.2    Vorobets, Y.B.3
  • 9
    • 0342771136 scopus 로고
    • Periodic reflecting paths in right triangles
    • F. HOLT, Periodic reflecting paths in right triangles, Geom. Dedicata, 46 (1993), pp. 73-90.
    • (1993) Geom. Dedicata , vol.46 , pp. 73-90
    • Holt, F.1
  • 10
    • 21344482276 scopus 로고
    • The polygon quantum-billiard problem
    • R. L. LIBOFF, The polygon quantum-billiard problem, J. Math. Phys., 35 (1994), pp. 596-607.
    • (1994) J. Math. Phys. , vol.35 , pp. 596-607
    • Liboff, R.L.1
  • 11
    • 84972550038 scopus 로고
    • Closed trajectories for quadratic differentials with an application to billiards
    • H. MASUR, Closed trajectories for quadratic differentials with an application to billiards, Duke Math. J., 53 (1986), pp. 307-314.
    • (1986) Duke Math. J. , vol.53 , pp. 307-314
    • Masur, H.1
  • 13
    • 0004328103 scopus 로고
    • K. Weisertrass, ed., Reimer, Berlin
    • J. STEINER, Gesammelte Werke, K. Weisertrass, ed., Reimer, Berlin, 1881/1882.
    • (1881) Gesammelte Werke
    • Steiner, J.1
  • 14
    • 24844469677 scopus 로고
    • The properties of the mechanical system equivalent to a billiard in a triangle
    • J. SZCZEPAŃSKI, The properties of the mechanical system equivalent to a billiard in a triangle, Bull. Polish Acad. Sci. Tech., 36 (1988), pp. 441-448.
    • (1988) Bull. Polish Acad. Sci. Tech. , vol.36 , pp. 441-448
    • Szczepański, J.1
  • 15
    • 5244300118 scopus 로고
    • The billiard in a regular polygon
    • W. A. VEECH, The billiard in a regular polygon, Geom. Funct. Anal., 2 (1992), pp. 341-379.
    • (1992) Geom. Funct. Anal. , vol.2 , pp. 341-379
    • Veech, W.A.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.