메뉴 건너뛰기
Ergodic Theory and Dynamical Systems
Volumn 24, Issue 1, 2004, Pages 177-197
Billiards with polynomial decay of correlations
Author keywords

[No Author keywords available]
Indexed keywords

EID: 1542613042     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385703000270     Document Type: Article
Times cited : (76)
References (15)
  • 1
    • 0002031610 scopus 로고
    • Markov partitions for two-dimensional hyperbolic billiards
    • [BSC90]
    • [BSC90] L. A. Bunimovich, Ya. G. Sinai and N. I. Chernov. Markov partitions for two-dimensional hyperbolic billiards. Russian Math. Surveys 45(3) (1990), 105-152.
    • (1990) Russian Math. Surveys , vol.45 , Issue.3 , pp. 105-152
    • Bunimovich, L.A.1    Sinai, Ya.G.2    Chernov, N.I.3
  • 2
    • 84956084246 scopus 로고
    • Statistical properties of two-dimensional hyperbolic billiards
    • [BSC91]
    • [BSC91] L. A. Bunimovich. Ya. G. Sinai and N. I. Chernov. Statistical properties of two-dimensional hyperbolic billiards. Russian Math. Surveys 46(4) (1991), 47-106.
    • (1991) Russian Math. Surveys , vol.46 , Issue.4 , pp. 47-106
    • Bunimovich, L.A.1    Sinai, Ya.G.2    Chernov, N.I.3
  • 3
    • 29444443343 scopus 로고
    • On ergodic properties of nowhere dispersing billiards
    • [Bu79]
    • [Bu79] L. A. Bunimovich. On ergodic properties of nowhere dispersing billiards. Commun. Math. Phys. 65 (1979), 295-312.
    • (1979) Commun. Math. Phys. , vol.65 , pp. 295-312
    • Bunimovich, L.A.1
  • 4
    • 0033074305 scopus 로고    scopus 로고
    • Decay of correlations and dispersing billiards
    • [Ch99]
    • [Ch99] N. I. Chernov. Decay of correlations and dispersing billiards. J. Star. Phys. 94 (1999), 513-556.
    • (1999) J. Star. Phys. , vol.94 , pp. 513-556
    • Chernov, N.I.1
  • 5
    • 0042221334 scopus 로고    scopus 로고
    • Ergodicity of billiards in polygons with pockets
    • [CT98]
    • [CT98] N. I. Chernov and S. Troubetzkoy. Ergodicity of billiards in polygons with pockets. Nonlinearity 11 (1998), 1095-1102.
    • (1998) Nonlinearity , vol.11 , pp. 1095-1102
    • Chernov, N.I.1    Troubetzkoy, S.2
  • 6
    • 0035511440 scopus 로고    scopus 로고
    • Ergodicity of a class of truncated elliptical billiards
    • [DelM01]
    • [DelM01] G. Del Magno. Ergodicity of a class of truncated elliptical billiards. Nonlinearity 14 (2001), 1761-1786.
    • (2001) Nonlinearity , vol.14 , pp. 1761-1786
    • Del Magno, G.1
  • 7
    • 0032348050 scopus 로고    scopus 로고
    • Statistical properties of dynamical systems with some hyperbolicity
    • [LSY98]
    • [LSY98] L. S. Young. Statistical properties of dynamical systems with some hyperbolicity. Ann. Math. 147 (1998), 585-650.
    • (1998) Ann. Math. , vol.147 , pp. 585-650
    • Young, L.S.1
  • 8
    • 0001396372 scopus 로고    scopus 로고
    • Recurrence times and rates of mixing
    • [LSY99]
    • [LSY99] L. S. Young. Recurrence times and rates of mixing. Israel J. Math. 110 (1999), 153-188.
    • (1999) Israel J. Math. , vol.110 , pp. 153-188
    • Young, L.S.1
  • 9
    • 0002472059 scopus 로고
    • Billiards with Pesin region of measure one
    • [Ma88]
    • [Ma88] R. Markarian. Billiards with Pesin region of measure one. Commun. Math. Phys. 118 (1988), 87-97.
    • (1988) Commun. Math. Phys. , vol.118 , pp. 87-97
    • Markarian, R.1
  • 10
    • 0001385478 scopus 로고
    • New ergodic billiards: Exact results
    • [Ma93]
    • [Ma93] R. Markarian. New ergodic billiards: exact results. Nonlinearity 6 (1993), 819-841.
    • (1993) Nonlinearity , vol.6 , pp. 819-841
    • Markarian, R.1
  • 11
    • 1542743489 scopus 로고
    • Statistical properties of dynamical systems
    • [Ma95]
    • [Ma95] R. Markarian. Statistical properties of dynamical systems J. Stat. Phys. 80 (1995), 1207-1239.
    • (1995) J. Stat. Phys. , vol.80 , pp. 1207-1239
    • Markarian, R.1
  • 12
    • 84971972535 scopus 로고
    • Dynamical systems with generalized hyperbolic attractors: Hyperbolic, ergodic and topological properties
    • [Pe92]
    • [Pe92] Ya. B. Pesin. Dynamical systems with generalized hyperbolic attractors: hyperbolic, ergodic and topological properties. Ergod. Th. & Dynam. Sys. 12 (1992), 123-151.
    • (1992) Ergod. Th. & Dynam. Sys. , vol.12 , pp. 123-151
    • Pesin, Ya.B.1
  • 13
    • 0036027231 scopus 로고    scopus 로고
    • Subexponential decay of correlations
    • [Sa02]
    • [Sa02] O. M. Sarig. Subexponential decay of correlations. Invent. Math. 150 (2002), 629-653.
    • (2002) Invent. Math. , vol.150 , pp. 629-653
    • Sarig, O.M.1
  • 14
    • 84927896522 scopus 로고
    • Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards
    • [Si70]
    • [Si70] Ya. G. Sinai. Dynamical systems with elastic reflections. Ergodic properties of dispersing billiards. Russian Math. Surveys 25(1) (1970), 137-189.
    • (1970) Russian Math. Surveys , vol.25 , Issue.1 , pp. 137-189
    • Sinai, Ya.G.1
  • 15
    • 0000441757 scopus 로고
    • Origin of long-time tails in strongly chaotic systems
    • [VCG83]
    • [VCG83] F. Vivaldi, G. Casati and I. Guanieri. Origin of long-time tails in strongly chaotic systems. Phys. Rev. Lett. 51 (1983), 727-730.
    • (1983) Phys. Rev. Lett. , vol.51 , pp. 727-730
    • Vivaldi, F.1    Casati, G.2    Guanieri, I.3

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.