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Volumn 83, Issue 1-2, 1996, Pages 193-202

Measures with infinite Lyapunov exponents for the periodic Lorentz gas

Author keywords

Billiard; Lorentz gas; Lyapunov exponent; Measure of maximal entropy

Indexed keywords


EID: 0030534470     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02183645     Document Type: Article
Times cited : (6)

References (14)
  • 1
    • 0000313327 scopus 로고
    • Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon
    • P. M. Bleher, Statistical properties of two-dimensional periodic Lorentz gas with infinite horizon, J. Stat. Phys. 66:315-373 (1992).
    • (1992) J. Stat. Phys. , vol.66 , pp. 315-373
    • Bleher, P.M.1
  • 2
    • 0039558773 scopus 로고
    • The fundamental theorem of the theory of scattering billiards
    • L. A. Bunimovich and Ya. G. Sinai, The fundamental theorem of the theory of scattering billiards, Math. USSR-Sb. 19:407-423 (1973).
    • (1973) Math. USSR-Sb. , vol.19 , pp. 407-423
    • Bunimovich, L.A.1    Sinai, Ya.G.2
  • 3
    • 11744373241 scopus 로고
    • Statistical properties of Lorentz gas with periodic configuration of scattercrs
    • L. A. Bunimovich and Ya. G. Sinai, Statistical properties of Lorentz gas with periodic configuration of scattercrs, Commun. Math. Phys. 78:479-497 (1981).
    • (1981) Commun. Math. Phys. , vol.78 , pp. 479-497
    • Bunimovich, L.A.1    Sinai, Ya.G.2
  • 5
    • 84956084246 scopus 로고
    • Statistical properties of two-dimensional hyperbolic billiards
    • L. A. Bunimovich, Ya. G. Sinai and N. I. Chernov, Statistical properties of two-dimensional hyperbolic billiards, Russ. Math. Surv. 46: 47-106 (1991).
    • (1991) Russ. Math. Surv. , vol.46 , pp. 47-106
    • Bunimovich, L.A.1    Sinai, Ya.G.2    Chernov, N.I.3
  • 6
    • 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. 25:39-45 (1991).
    • (1991) Funct. Anal. Appl. , vol.25 , pp. 39-45
    • Chernov, N.I.1
  • 7
    • 0038157138 scopus 로고
    • New proof of Siniai's formula for the entropy of hyperbolic billiard systems. Applications to Lorentz gases and Bunimovich stadiums
    • N. I. Chernov, New proof of Siniai's formula for the entropy of hyperbolic billiard systems. Applications to Lorentz gases and Bunimovich stadiums, Funct. Anal. Appl. 25:204-219 (1991).
    • (1991) Funct. Anal. Appl. , vol.25 , pp. 204-219
    • Chernov, N.I.1
  • 10
    • 84972539502 scopus 로고
    • Perturbed billiard systems I
    • I. Kubo, Perturbed billiard systems I, Nagoya Math. J. 61:1-57 (1976).
    • (1976) Nagoya Math. J. , vol.61 , pp. 1-57
    • Kubo, I.1
  • 12
    • 84968480689 scopus 로고
    • Intrinsic Markov chains
    • W. Parry, Intrinsic Markov chains, Trans. Am. Math. Soc. 114:55-66 (1965).
    • (1965) Trans. Am. Math. Soc. , vol.114 , pp. 55-66
    • Parry, W.1
  • 13
    • 84927896522 scopus 로고
    • Dynamical systems with elastic reflections. Ergodic properties of scattering billiards
    • Ya. G. Sinai, Dynamical systems with elastic reflections. Ergodic properties of scattering billiards, Russ. Math. Surv. 25:137-189 (1970).
    • (1970) Russ. Math. Surv. , vol.25 , pp. 137-189
    • Sinai, Ya.G.1
  • 14
    • 84956132011 scopus 로고
    • Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls
    • Ya. G. Sinai and N. I. Chernov, Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls, Russ. Math. Surv. 42:181-207 (1987).
    • (1987) Russ. Math. Surv. , vol.42 , pp. 181-207
    • Sinai, Ya.G.1    Chernov, N.I.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.