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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