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  • Axiom A basic set  (1)
  • entropy  (1)
  • 1995-1999  (2)
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  • 1995-1999  (2)
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  • 1
    Electronic Resource
    Electronic Resource
    Characterization of Measures Satisfying the Pesin Entropy Formula for Random Dynamical Systems (1998)
    Springer
    Journal of dynamics and differential equations 10 (1998), S. 425-448 
    Details
    ISSN: 1572-9222
    Keywords: Random dynamical system ; SRB measure ; entropy ; Lyapunov exponent
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract In this paper we first give a formulation of SRB (Sinai–Ruelle–Bowen) property for invariant measures of “stationary” random dynamical systems and then prove that this property is sufficient and necessary for a formula of Pesin's type relating entropy and Lyapunov exponents of such dynamical systems. This result is a random version of the main result in Part I of Ledrappier and Young's celebrated paper [11].
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1022653229891
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  • 2
    Electronic Resource
    Electronic Resource
    Random Perturbations of Axiom A Basic Sets (1998)
    Springer
    Journal of statistical physics 90 (1998), S. 467-490 
    Details
    ISSN: 1572-9613
    Keywords: Axiom A basic set ; bundle random dynamical system ; equilibrium state ; SRB measure
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract In this paper we study small, random, diffeomorphism-type perturbations of an Axiom A basic set. By means of the structural stability of such a basic set with respect to time-dependent perturbations and by means of the Markov partition of the basic set, we apply the thermodynamic formalism of random subshifts of finite type to this situation, obtaining some ergodic-theoretic results concerning equilibrium states.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1023280407906
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