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Volumn 11, Issue 4, 1999, Pages 583-593

Topological fixed point theorems do not hold for random dynamical systems

Author keywords

Cocyele; Fixed point theorem; Invariant measure; Random dynamical system

Indexed keywords


EID: 44049106756     PISSN: 10407294     EISSN: 15729222     Source Type: Journal    
DOI: 10.1023/A:1022670227876     Document Type: Article
Times cited : (8)

References (13)
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    • Arnold, L.1
  • 3
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    • Additive noise turns a hyperbolic fixed point into a stationary solution
    • Arnold, L., Crauel, H., and Eckmann, J.-P. (eds.), Lyapunor Exponents, Oberwolfach 1990. Springer, Berlin/Heidelberg/New York
    • Arnold, L., and Boxler, P. (1991). Additive noise turns a hyperbolic fixed point into a stationary solution. In Arnold, L., Crauel, H., and Eckmann, J.-P. (eds.), Lyapunor Exponents, Oberwolfach 1990. Lecture Notes Math. I486, Springer, Berlin/Heidelberg/New York, pp. 159-164.
    • (1991) Lecture Notes Math. , vol.486 , pp. 159-164
    • Arnold, L.1    Boxler, P.2
  • 5
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    • The structure of ergodic measures for compact group extensions
    • Keynes, H. B., and Newton, D. (1974). The structure of ergodic measures for compact group extensions. Israel J. Math. 18, 363-389.
    • (1974) Israel J. Math. , vol.18 , pp. 363-389
    • Keynes, H.B.1    Newton, D.2
  • 6
    • 0003387713 scopus 로고
    • The upper Lyapunov exponents of SL(2, ℝ) cocycles: Discontinuity and the problem of positivity
    • Arnold, L., Crauel, H., and Eckmann, J.-P. (eds.), Lyapunor Exponents, Oberwolfach 1990. Springer, Berlin/Heidelberg/New York
    • Knill, O. (1991 ). The upper Lyapunov exponents of SL(2, ℝ) cocycles: Discontinuity and the problem of positivity. In Arnold, L., Crauel, H., and Eckmann, J.-P. (eds.), Lyapunor Exponents, Oberwolfach 1990. Lecture Notes Math. 1486, Springer, Berlin/Heidelberg/New York, pp. 86-97.
    • (1991) Lecture Notes Math. , vol.1486 , pp. 86-97
    • Knill, O.1
  • 7
    • 0031631675 scopus 로고
    • Random perturbations of Axiom A basic sets
    • Liu, P.-D. (1988). Random perturbations of Axiom A basic sets. J. Stat. Phys. 90, 467-490.
    • (1988) J. Stat. Phys. , vol.90 , pp. 467-490
    • Liu, P.-D.1
  • 8
    • 53149111474 scopus 로고    scopus 로고
    • Examples of random dynamical systems without random fixed points
    • Krakow
    • Ochs, G. (1998). Examples of random dynamical systems without random fixed points. Universitatis lagellonicae Ada Mathematics, Fasc. XXXVI, Krakow, pp. 133-141.
    • (1998) Universitatis Lagellonicae Ada Mathematics, Fasc. , vol.36 , pp. 133-141
    • Ochs, G.1
  • 10
    • 0000858711 scopus 로고    scopus 로고
    • A random fixed point theorem based on Lyapunov exponents
    • Schmalfuß, B. (1996). A random fixed point theorem based on Lyapunov exponents. Rand. Comp. Dyn. 4, 267-268.
    • (1996) Rand. Comp. Dyn. , vol.4 , pp. 267-268
    • Schmalfuß, B.1
  • 12
    • 84958426430 scopus 로고
    • Amenability, Kazdan's property T, strong ergodicity and invariant means for ergodic group actions
    • Schmidt, K. (1981). Amenability, Kazdan's property T, strong ergodicity and invariant means for ergodic group actions. Ergod. Theory Dynam. Syst. 1, 223-236.
    • (1981) Ergod. Theory Dynam. Syst. , vol.1 , pp. 223-236
    • Schmidt, K.1
  • 13
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    • Random walks on compact groups and the existence of cocycles
    • Zimmer, R. ( 1977). Random walks on compact groups and the existence of cocycles. Israel J. Math. 26, 84-90.
    • (1977) Israel J. Math. , vol.26 , pp. 84-90
    • Zimmer, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.