메뉴 건너뛰기




Volumn 358, Issue 9, 2006, Pages 3751-3780

Dimension of hyperbolic measures of random diffeomorphisms

Author keywords

Eckmann Ruelle conjecture; Hyperbolic measure; Random dynamical systems

Indexed keywords


EID: 33748329403     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-06-03933-X     Document Type: Article
Times cited : (11)

References (15)
  • 2
    • 54649083619 scopus 로고    scopus 로고
    • Characterization of measures satisfying Pesin's entropy formula for random dynamical systems
    • MR1646606 (99j:58118)
    • J. Bahnmüller and P.-D. Liu. Characterization of measures satisfying Pesin's entropy formula for random dynamical systems. J. Dynam. Diff. Equ. 10(3)(1998), 425-448. MR1646606 (99j:58118)
    • (1998) J. Dynam. Diff. Equ. , vol.10 , Issue.3 , pp. 425-448
    • Bahnmüller, J.1    Liu, P.-D.2
  • 3
    • 0033416835 scopus 로고    scopus 로고
    • Dimension and product structure of hyperbolic measures
    • MR1709302 (2000f:37027)
    • L. Barreira, Y. Pesin and J. Schmeling. Dimension and product structure of hyperbolic measures. Ann. Math. 140 (1999), 755-783. MR1709302 (2000f:37027)
    • (1999) Ann. Math. , vol.140 , pp. 755-783
    • Barreira, L.1    Pesin, Y.2    Schmeling, J.3
  • 4
    • 0011033173 scopus 로고
    • Entropy, pressure, and a variational principle for random dynamical systems
    • MR1181382 (93k:28023)
    • T. Bogenschütz. Entropy, pressure, and a variational principle for random dynamical systems. Random and Computational Dynamics 1 (1992), 219-227. MR1181382 (93k:28023)
    • (1992) Random and Computational Dynamics , vol.1 , pp. 219-227
    • Bogenschütz, T.1
  • 6
    • 0002250134 scopus 로고
    • Lecture Notes in Math. Springer-Verlag, New York. MR0457661 (56:15866)
    • n. Lecture Notes in Math. 481, Springer-Verlag, New York, 1975. MR0457661 (56:15866)
    • (1975) n , vol.481
    • De Guzmán, M.1
  • 8
    • 0001048955 scopus 로고
    • The metric entropy of diffeomorphisms. Part II: Relations between entropy, exponents and dimension
    • MR0819557 (87i:58101b)
    • F. Ledrappier and L.-S. Young. The metric entropy of diffeomorphisms. Part II: Relations between entropy, exponents and dimension. Ann. Math. 122 (1985), 540-574. MR0819557 (87i:58101b)
    • (1985) Ann. Math. , vol.122 , pp. 540-574
    • Ledrappier, F.1    Young, L.-S.2
  • 9
    • 0040971821 scopus 로고    scopus 로고
    • Dynamics of random transformations: Smooth ergodic theory
    • MR1855833 (2002g:37024)
    • P.-D. Liu. (Survey) Dynamics of random transformations: smooth ergodic theory. Ergod. Th. Dynam. Sys. 21 (2001), 1279-1319. MR1855833 (2002g:37024)
    • (2001) Ergod. Th. Dynam. Sys. , vol.21 , pp. 1279-1319
    • Liu, P.-D.1
  • 10
    • 0031631675 scopus 로고    scopus 로고
    • Random perturbations of Axiom a basic sets
    • MR1611096 (99a:58108)
    • P.-D. Liu. Random perturbations of Axiom A basic sets. J. Stat. Phys. 90(1/2) (1998), 467-490. MR1611096 (99a:58108)
    • (1998) J. Stat. Phys. , vol.90 , Issue.1-2 , pp. 467-490
    • Liu, P.-D.1
  • 13
    • 26044452757 scopus 로고    scopus 로고
    • Entropy formula for random dynamical systems: Relations between entropy, exponents and dimension
    • MR2032494 (2004m:37096)
    • M. Qian, M.-P. Qian and J.-S. Xie. Entropy formula for random dynamical systems: Relations between entropy, exponents and dimension. Ergod. Th. Dynam. Sys. 23 (2003), no. 6, 1907-1931. MR2032494 (2004m:37096)
    • (2003) Ergod. Th. Dynam. Sys. , vol.23 , Issue.6 , pp. 1907-1931
    • Qian, M.1    Qian, M.-P.2    Xie, J.-S.3
  • 14
    • 0002802366 scopus 로고
    • On the foundamental ideas of measure theory
    • V. A. Rokhlin. On the foundamental ideas of measure theory. Amer. Math. Soc. Transl. (1) 10 (1962), 1-52.
    • (1962) Amer. Math. Soc. Transl. (1) , vol.10 , pp. 1-52
    • Rokhlin, V.A.1
  • 15
    • 0003108925 scopus 로고
    • Lectures on the entropy theory of measure-preserving transformations
    • V. A. Rokhlin. Lectures on the entropy theory of measure-preserving transformations. Russ. Math. Surveys 22:5 (1967), 1-54.
    • (1967) Russ. Math. Surveys , vol.22 , Issue.5 , pp. 1-54
    • Rokhlin, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.