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Volumn 38, Issue 4, 2004, Pages 267-282

Contraction of orbits in random dynamical systems on the circle

Author keywords

Attractor; Dynamics on the circle; Random dynamical system; Skew product

Indexed keywords


EID: 15244353125     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10688-005-0005-9     Document Type: Article
Times cited : (40)

References (13)
  • 1
    • 4243557901 scopus 로고
    • On stochastic perturbations of iterations of circle maps
    • T. Kaijser, "On stochastic perturbations of iterations of circle maps," Phys. D, 68, 201-231 (1993).
    • (1993) Phys. D , vol.68 , pp. 201-231
    • Kaijser, T.1
  • 3
    • 0001405311 scopus 로고
    • Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants
    • Y. Le Jan, "Équilibre statistique pour les produits de difféomorphismes aléatoires indépendants," Ann. Inst. H. Poincaré Probab. Statist., 23, No. 1, 111-120 (1987).
    • (1987) Ann. Inst. H. Poincaré Probab. Statist. , vol.23 , Issue.1 , pp. 111-120
    • Le Jan, Y.1
  • 4
    • 84968508586 scopus 로고
    • Noncommuting random matrices products
    • H. Furstenberg, "Noncommuting random matrices products," Trans. Amer. Math. Soc., 108, 377-428 (1963).
    • (1963) Trans. Amer. Math. Soc. , vol.108 , pp. 377-428
    • Furstenberg, H.1
  • 5
    • 0000394863 scopus 로고
    • Boundary theory and stochastic processes on homogeneous spaces
    • H. Furstenberg, "Boundary theory and stochastic processes on homogeneous spaces," In: Proc. Sympos. Pure Math., Vol. 26, 1973, pp. 193-229.
    • (1973) Proc. Sympos. Pure Math. , vol.26 , pp. 193-229
    • Furstenberg, H.1
  • 6
    • 0000513363 scopus 로고
    • Products of random matrices
    • H. Furstenberg and H. Kesten, "Products of random matrices," Ann. Math. Stat., 31, 457-469 (1960).
    • (1960) Ann. Math. Stat. , vol.31 , pp. 457-469
    • Furstenberg, H.1    Kesten, H.2
  • 7
    • 51249184249 scopus 로고
    • Random matrix products and measures on projective spaces
    • H. Furstenberg and Yu. Kifer, "Random matrix products and measures on projective spaces," Israel J. Math., 46, No. 1-2, 12-32 (1983).
    • (1983) Israel J. Math. , vol.46 , Issue.1-2 , pp. 12-32
    • Furstenberg, H.1    Kifer, Yu.2
  • 8
    • 0030555584 scopus 로고    scopus 로고
    • The Poisson boundary of the mapping class group
    • V. Kaimanovich and H. Mazur, "The Poisson boundary of the mapping class group," Invent. Math, 125, 221-264 (1996).
    • (1996) Invent. Math , vol.125 , pp. 221-264
    • Kaimanovich, V.1    Mazur, H.2
  • 9
    • 0001516826 scopus 로고
    • Extremal exponents of random dynamical systems do not vanish
    • H. Crauel, "Extremal exponents of random dynamical systems do not vanish," J. Dynam. Differential Equations, 2, No. 3, 245-291 (1990).
    • (1990) J. Dynam. Differential Equations , vol.2 , Issue.3 , pp. 245-291
    • Crauel, H.1
  • 10
    • 15244356894 scopus 로고    scopus 로고
    • Some new robust properties of invariant sets and attractors of dynamical systems
    • A. S. Gorodetskii and Yu. S. Ilyashenko, "Some new robust properties of invariant sets and attractors of dynamical systems," Funkts. Anal. Prilozhen., 33, No. 2, 16-30 (1999).
    • (1999) Funkts. Anal. Prilozhen. , vol.33 , Issue.2 , pp. 16-30
    • Gorodetskii, A.S.1    Ilyashenko, Yu.S.2
  • 11
    • 32044440361 scopus 로고    scopus 로고
    • Some properties of skew products over the horseshoe and solenoid
    • A. S. Gorodetskii and Yu. S. Ilyashenko, "Some properties of skew products over the horseshoe and solenoid," Trudy MIAN, 231, pp. 96-118 (2000).
    • (2000) Trudy MIAN , vol.231 , pp. 96-118
    • Gorodetskii, A.S.1    Ilyashenko, Yu.S.2
  • 12
    • 0001265433 scopus 로고
    • Fractals and self-similarity
    • J. E. Hutchinson, "Fractals and self-similarity," Indiana Univ. Math. J., 30, 271-280 (1981).
    • (1981) Indiana Univ. Math. J. , vol.30 , pp. 271-280
    • Hutchinson, J.E.1
  • 13
    • 0007389752 scopus 로고
    • Lyapunov exponents and relative entropy for a stochastic flow of diffeomorphisms
    • P. H. Baxendale, "Lyapunov exponents and relative entropy for a stochastic flow of diffeomorphisms," Probab. Theory Related Fields, 81, 521-554 (1989).
    • (1989) Probab. Theory Related Fields , vol.81 , pp. 521-554
    • Baxendale, P.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.