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Volumn 18, Issue 5, 1998, Pages 1049-1073

Conditionally invariant measures for Anosov maps with small holes

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EID: 0032354941     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385798117492     Document Type: Article
Times cited : (42)

References (14)
  • 3
    • 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
  • 4
    • 0039844059 scopus 로고
    • Statistical properties of smooth Smale horseshoes
    • Ed. R. L. Dobrushin. Reidel, Dordrecht
    • N. N. Čencova. Statistical properties of smooth Smale horseshoes. Mathematical Problems of Statistical Mechanics and Dynamics. Ed. R. L. Dobrushin. Reidel, Dordrecht, 1986, pp. 199-256.
    • (1986) Mathematical Problems of Statistical Mechanics and Dynamics , pp. 199-256
    • Čencova, N.N.1
  • 5
    • 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. Mar. 28 (1997), 271-314.
    • (1997) Bol. Soc. Bras. Mar. , vol.28 , pp. 271-314
    • Chernov, N.1    Markarian, R.2
  • 6
    • 0007349787 scopus 로고    scopus 로고
    • Anosov maps with rectangular holes. Nonergodic cases
    • N. Chernov and R. Markarian. Anosov maps with rectangular holes. Nonergodic cases. Bol. Soc. Bras. Mat. 28 (1997), 315-342.
    • (1997) Bol. Soc. Bras. Mat. , vol.28 , pp. 315-342
    • Chernov, N.1    Markarian, R.2
  • 7
    • 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
  • 8
    • 6144292336 scopus 로고
    • Chaotic scattering theory, thermodynamic formalism, and transport coefficients
    • P. Gaspard and J. R. Dorfman. Chaotic scattering theory, thermodynamic formalism, and transport coefficients. Phys. Rev. E 52 (1995), 3525-3552.
    • (1995) Phys. Rev. E , vol.52 , pp. 3525-3552
    • Gaspard, P.1    Dorfman, J.R.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. Appl. Math. 56 (1996), 651-680.
    • (1996) SIAM J. Appl. Math. , vol.56 , pp. 651-680
    • Lopes, A.1    Markarian, R.2
  • 10
    • 51249189995 scopus 로고
    • Unique ergodicity of some flows related to Axiom A diffeomorphisms
    • B. Marcus. Unique ergodicity of some flows related to Axiom A diffeomorphisms. Israel J. Math. 21 (1975), 111-132.
    • (1975) Israel J. Math. , vol.21 , pp. 111-132
    • Marcus, B.1
  • 11
    • 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
  • 12
    • 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
  • 13
    • 0030510906 scopus 로고    scopus 로고
    • Positivity of entropy production in nonequilibrium statistical mechanics
    • D. Ruelle. Positivity of entropy production in nonequilibrium statistical mechanics. J. Statist. Phys. 85 (1996), 1-23.
    • (1996) J. Statist. Phys. , vol.85 , pp. 1-23
    • Ruelle, D.1
  • 14
    • 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.