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Volumn 18, Issue 4, 1998, Pages 791-805

Topological entropy of semi-dispersing billiards

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Indexed keywords


EID: 0032328548     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385798108246     Document Type: Article
Times cited : (17)

References (17)
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    • Aleksandrov, A.D.1
  • 6
    • 85033894572 scopus 로고    scopus 로고
    • Uniform estimates on the number of collisions in semi-dispersing billiards
    • To appear
    • D. Burago, S. Ferleger and A. Kononenko. Uniform estimates on the number of collisions in semi-dispersing billiards. Ann. Math. To appear.
    • Ann. Math.
    • Burago, D.1    Ferleger, S.2    Kononenko, A.3
  • 7
    • 0010107975 scopus 로고
    • Topological entropy and periodic points of two-dimensional hyperbolic billiards
    • N. I. Chernov. Topological entropy and periodic points of two-dimensional hyperbolic billiards. Funct. Anal. Appl. 25(1) (1991), 39-45.
    • (1991) Funct. Anal. Appl. , vol.25 , Issue.1 , pp. 39-45
    • Chernov, N.I.1
  • 8
    • 0038157138 scopus 로고
    • New proof of Sinai's formula for the entropy of hyperbolic billiard systems. Application to Lorentz gases and Bunimovich stadiums
    • N. I. Chernov. New proof of Sinai's formula for the entropy of hyperbolic billiard systems. Application to Lorentz gases and Bunimovich stadiums. Funct. Anal. Appl. 25(1) (1991), 204-219.
    • (1991) Funct. Anal. Appl. , vol.25 , Issue.1 , pp. 204-219
    • Chernov, N.I.1
  • 10
    • 0001796966 scopus 로고
    • Topological entropy of generalized polygon exchanges
    • E. Gutkin and N. Haydn. Topological entropy of generalized polygon exchanges. Bull. Amer. Math. Soc. 32(1) (1995), 50-56.
    • (1995) Bull. Amer. Math. Soc. , vol.32 , Issue.1 , pp. 50-56
    • Gutkin, E.1    Haydn, N.2
  • 11
    • 0001212617 scopus 로고
    • The grows rate of the number of singular and periodic orbits for a polygonal billiard
    • A. Katok. The grows rate of the number of singular and periodic orbits for a polygonal billiard. Comm. Math. Phys. 111 (1987), 151-160.
    • (1987) Comm. Math. Phys. , vol.111 , pp. 151-160
    • Katok, A.1
  • 12
    • 0003280184 scopus 로고
    • Smooth maps with singularities: Invariant manifolds, entropy and billiards
    • Springer
    • A. Katok and J. M. Strelcyn. Smooth maps with singularities: invariant manifolds, entropy and billiards. Lecture Notes in Mathematics, 1222. Springer, 1987.
    • (1987) Lecture Notes in Mathematics , vol.1222
    • Katok, A.1    Strelcyn, J.M.2
  • 13
    • 34250136902 scopus 로고
    • Topological pressure and variational principle for non-compact sets
    • Ya. B. Pesin and B. S. Pitskel. Topological pressure and variational principle for non-compact sets. Funct. Anal. Appl. 18(4) (1984), 307-318.
    • (1984) Funct. Anal. Appl. , vol.18 , Issue.4 , pp. 307-318
    • Pesin, Ya.B.1    Pitskel, B.S.2
  • 14
    • 0001019654 scopus 로고
    • On the theory of spaces of curvature not greater than K
    • In Russian
    • Yu. G. Reshetnyak. On the theory of spaces of curvature not greater than K. Mat. Sb. Nov. Ser., 52 (1960), 789-798. (In Russian.)
    • (1960) Mat. Sb. Nov. Ser. , vol.52 , pp. 789-798
    • Reshetnyak, Yu.G.1
  • 17
    • 0001764008 scopus 로고
    • An estimate from above of the number of periodic orbits for semi-dispersed billiards
    • L. Stojanov. An estimate from above of the number of periodic orbits for semi-dispersed billiards. Comm. Math. Phys. 124(2) (1989), 217-227.
    • (1989) Comm. Math. Phys. , vol.124 , Issue.2 , pp. 217-227
    • Stojanov, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.