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Volumn 23, Issue 6, 2003, Pages 1907-1931

Entropy formula for random dynamical systems: Relations between entropy, exponents and dimension

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EID: 26044452757     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385703000178     Document Type: Article
Times cited : (12)

References (12)
  • 3
    • 0001048955 scopus 로고
    • The metric entropy of diffeomorphisms. Part I: Characterization of measures satisfying Pesin's entropy formula
    • F. Ledrappier and L.-S. Young. The metric entropy of diffeomorphisms. Part I: Characterization of measures satisfying Pesin's entropy formula. Ann. Math. 122 (1985), 509-539.
    • (1985) Ann. Math. , vol.122 , pp. 509-539
    • Ledrappier, F.1    Young, L.-S.2
  • 4
    • 0001048955 scopus 로고
    • The metric entropy of diffeomorphisms. Part II: Relations between entropy, exponents and dimension
    • 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.
    • (1985) Ann. Math. , vol.122 , pp. 540-574
    • Ledrappier, F.1    Young, L.-S.2
  • 5
    • 0000740518 scopus 로고
    • Dimension formula for random transformations
    • F. Ledrappier and L.-S. Young. Dimension formula for random transformations. Commun. Math. Phys. 117 (1988), 529-548.
    • (1988) Commun. Math. Phys. , vol.117 , pp. 529-548
    • Ledrappier, F.1    Young, L.-S.2
  • 6
    • 0001462759 scopus 로고
    • Entropy formula for random transformations
    • F. Ledrappier and L.-S. Young. Entropy formula for random transformations. Prob. Th. Rel. Fields 80 (1988), 217-240.
    • (1988) Prob. Th. Rel. Fields , vol.80 , pp. 217-240
    • Ledrappier, F.1    Young, L.-S.2
  • 8
    • 0002401417 scopus 로고
    • A proof of Pesin's formula
    • R. Mañé. A proof of Pesin's formula. Ergod. Th. & Dynam. Sys. 1 (1981), 95-102.
    • (1981) Ergod. Th. & Dynam. Sys. , vol.1 , pp. 95-102
    • Mañé, R.1
  • 10
    • 84961291543 scopus 로고
    • Lyapunov characteristic exponents and smooth ergodic theory
    • Ya. B. Pesin. Lyapunov characteristic exponents and smooth ergodic theory. Russ. Math. Surv. 32(4) (1977), 55-114.
    • (1977) Russ. Math. Surv. , vol.32 , Issue.4 , pp. 55-114
    • Pesin, Ya.B.1
  • 11
    • 0002802366 scopus 로고
    • On the fundamental ideas of measure theory
    • V. A. Rokhlin. On the fundamental 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
  • 12
    • 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. Surv. 22(5) (1967), 1-54.
    • (1967) Russ. Math. Surv. , vol.22 , Issue.5 , pp. 1-54
    • Rokhlin, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.