메뉴 건너뛰기




Volumn 28, Issue 2, 1997, Pages 315-342

Anosov maps with rectangular holes. Nonergodic cases

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0007349787     PISSN: 01003569     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01233396     Document Type: Article
Times cited : (26)

References (13)
  • 1
    • 85009367586 scopus 로고
    • Equilibrium states and the ergodic theory of Anosov diffeomorphisms
    • Springer-Verlag, Berlin
    • R. Bowen, Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lect. Notes Math. 470, Springer-Verlag, Berlin, 1975.
    • (1975) Lect. Notes Math. , vol.470
    • Bowen, R.1
  • 2
    • 0039844055 scopus 로고
    • A natural invariant measure on Smale's horseshoe
    • N.N. Čencova, A natural invariant measure on Smale's horseshoe, Soviet Math. Dokl. 23 (1981), 87-91.
    • (1981) Soviet Math. Dokl. , vol.23 , pp. 87-91
    • Čencova, N.N.1
  • 3
    • 0039844059 scopus 로고
    • Statistical properties of smooth Smale horseshoes
    • R.L. Dobrushin, Editor, Reidel, Dordrecht
    • N.N. Čencova, Statistical properties of smooth Smale horseshoes, in: Mathematical Problems of Statistical Mechanics and Dynamics, R.L. Dobrushin, Editor, pp. 199-256, Reidel, Dordrecht, 1986.
    • (1986) Mathematical Problems of Statistical Mechanics and Dynamics , pp. 199-256
    • Čencova, N.N.1
  • 4
    • 0001104053 scopus 로고    scopus 로고
    • Ergodic properties of Anosov maps with rectangular holes
    • N. Chernov and R. Markarian, Ergodic properties of Anosov maps with rectangular holes, Bol. Soc. Bras. Mat., Vol. 28, 2, (1997), pp. 271-314.
    • (1997) Bol. Soc. Bras. Mat. , vol.28 , Issue.2 , pp. 271-314
    • Chernov, N.1    Markarian, R.2
  • 5
    • 0000905087 scopus 로고
    • The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems
    • P. Collet, S. Martinez and B. Schmitt, The Yorke-Pianigiani measure and the asymptotic law on the limit Cantor set of expanding systems, Nonlinearity 7 (1994), 1437-1443.
    • (1994) Nonlinearity , vol.7 , pp. 1437-1443
    • Collet, P.1    Martinez, S.2    Schmitt, B.3
  • 7
    • 0001437632 scopus 로고
    • Transport properties, Lyapunov exponents, and entropy per unit time
    • P. Gaspard and G. Nicolis, Transport properties, Lyapunov exponents, and entropy per unit time, Phys. Rev. Lett. 65 (1990), 1693-1696.
    • (1990) Phys. Rev. Lett. , vol.65 , pp. 1693-1696
    • Gaspard, P.1    Nicolis, G.2
  • 8
    • 36549101751 scopus 로고
    • Scattering from a classically chaotic repellor
    • P. Gaspard and S. Rice, Scattering from a classically chaotic repellor, J. Chem. Phys. 90 (1989), 2225-2241.
    • (1989) J. Chem. Phys. , vol.90 , pp. 2225-2241
    • Gaspard, P.1    Rice, S.2
  • 9
    • 0030128039 scopus 로고    scopus 로고
    • Open billiards: Cantor sets, invariant and conditionally invariant probabilities
    • A. Lopes and R. Markarian, Open billiards: Cantor sets, invariant and conditionally invariant probabilities, SIAM J. on Applied Math. 56 (1996), 651-680.
    • (1996) SIAM J. on Applied Math. , vol.56 , pp. 651-680
    • Lopes, A.1    Markarian, R.2
  • 10
    • 84967713041 scopus 로고
    • Expanding maps on sets which are almost invariant: Decay and chaos
    • G. Pianigiani and J. Yorke, Expanding maps on sets which are almost invariant: decay and chaos, Trans. Amer. Math. Soc. 252 (1979), 351-366.
    • (1979) Trans. Amer. Math. Soc. , vol.252 , pp. 351-366
    • Pianigiani, G.1    Yorke, J.2
  • 11
    • 0000809231 scopus 로고
    • A measure associated with Axiom A attractors
    • D. Ruelle, A measure associated with Axiom A attractors, Amer. J. Math. 98 (1976), 619-654.
    • (1976) Amer. J. Math. , vol.98 , pp. 619-654
    • Ruelle, D.1
  • 12
    • 34250521086 scopus 로고
    • Markov partitions and C-diffeomorphisms
    • Ya.G. Sinai, Markov partitions and C-diffeomorphisms, Funct. Anal. Its Appl. 2 (1968), 61-82.
    • (1968) Funct. Anal. Its Appl. , vol.2 , pp. 61-82
    • Sinai, Ya.G.1
  • 13
    • 84956071330 scopus 로고
    • Gibbs measures in ergodic theory
    • Ya.G. Sinai, Gibbs measures in ergodic theory, Russ. Math. Surveys 27 (1972), 21-69.
    • (1972) Russ. Math. Surveys , vol.27 , pp. 21-69
    • Sinai, Ya.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.