메뉴 건너뛰기




Volumn 12, Issue 3, 1999, Pages 513-524

Billiards in infinite polygons

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033130604     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/12/3/005     Document Type: Article
Times cited : (5)

References (16)
  • 1
    • 0000706198 scopus 로고
    • Billiards and rational periodic directions in polygons
    • Boshernitzan M 1992 Billiards and rational periodic directions in polygons Am. Math. Monthly June-July 522-9
    • (1992) Am. Math. Monthly , vol.JUNE-JULY , pp. 522-529
    • Boshernitzan, M.1
  • 2
    • 35949005254 scopus 로고
    • Periodic trajectories in right triangle billiards
    • Cipra B. Hanson R and Kolan A 1995 Periodic trajectories in right triangle billiards Phys. Rev. E 52 2066-71
    • (1995) Phys. Rev. E , vol.52 , pp. 2066-2071
    • Cipra, B.1    Hanson, R.2    Kolan, A.3
  • 4
    • 21844520427 scopus 로고
    • Local instability of orbits in polygonal and polyhedral billiards
    • Galperin G, Krüger T and Troubetzkoy S 1995 Local instability of orbits in polygonal and polyhedral billiards Commun. Math. Phys. 169 463-73
    • (1995) Commun. Math. Phys. , vol.169 , pp. 463-473
    • Galperin, G.1    Krüger, T.2    Troubetzkoy, S.3
  • 5
    • 84956110926 scopus 로고
    • Periodic billiard trajectories in polygons, generating mechanisms
    • Galperin G, Stepin A and Vorobets Ya 1992 Periodic billiard trajectories in polygons, generating mechanisms Russ. Math. Surv. 47 5-80
    • (1992) Russ. Math. Surv. , vol.47 , pp. 5-80
    • Galperin, G.1    Stepin, A.2    Vorobets, Y.3
  • 6
    • 45949131024 scopus 로고
    • Billiard in polygons
    • Gutkin E 1986 Billiard in polygons Physica D 19 311-33
    • (1986) Physica D , vol.19 , pp. 311-333
    • Gutkin, E.1
  • 7
    • 0009151459 scopus 로고
    • Billiard in polygons: Survey of recent results
    • Gutkin E 1995 Billiard in polygons: survey of recent results J. Stat. Phys. 174 43-56
    • (1995) J. Stat. Phys. , vol.174 , pp. 43-56
    • Gutkin, E.1
  • 8
    • 0009232191 scopus 로고    scopus 로고
    • Int. Conf. On dynamical systems (Montevideo, Uruguay)
    • ed F Ledrappier et al
    • Gutkin E and Troubetzkoy S 1996 Int. Conf. on Dynamical Systems (Montevideo, Uruguay) ed F Ledrappier et al (Pitman Research Notes in Mathematics 362)
    • (1996) Pitman Research Notes in Mathematics , pp. 362
    • Gutkin, E.1    Troubetzkoy, S.2
  • 10
    • 33645064917 scopus 로고
    • Topological transitivity of billiards in polygons
    • Katok A and Zemlyakov A 1975 Topological transitivity of billiards in polygons Math. Notes 18 760-4
    • (1975) Math. Notes , vol.18 , pp. 760-764
    • Katok, A.1    Zemlyakov, A.2
  • 11
    • 0000923571 scopus 로고
    • Ergodicity of billiard flows and quadratic differentials
    • Kerckhoff S, Masur H and Smillie J 1986 Ergodicity of billiard flows and quadratic differentials Ann. Math. 124 293-311
    • (1986) Ann. Math. , vol.124 , pp. 293-311
    • Kerckhoff, S.1    Masur, H.2    Smillie, J.3
  • 12
    • 84972550038 scopus 로고
    • Closed trajectories of a quadratic differential
    • Masur H 1986 Closed trajectories of a quadratic differential Duke J. Math. 53 307-14
    • (1986) Duke J. Math. , vol.53 , pp. 307-314
    • Masur, H.1
  • 14
    • 0009231881 scopus 로고    scopus 로고
    • Recurrence and periodic orbits for billiards in polygons
    • Troubetzkoy S Recurrence and periodic orbits for billiards in polygons Preprint
    • Preprint
    • Troubetzkoy, S.1
  • 15
    • 21944445556 scopus 로고    scopus 로고
    • Complexity lower bounds for polygonal billiards
    • Troubetzkoy S 1998 Complexity lower bounds for polygonal billiards Chaos 8 242-4
    • (1998) Chaos , vol.8 , pp. 242-244
    • Troubetzkoy, S.1
  • 16
    • 0031286041 scopus 로고    scopus 로고
    • Ergodicity of billiards in polygons
    • Vorobets Ya 1997 Ergodicity of billiards in polygons Sbornik Math. 188 389-434
    • (1997) Sbornik Math. , vol.188 , pp. 389-434
    • Vorobets, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.