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	Entropy formula of Pesin type for one-sided stationary random maps
	Liu, PD ; Qian, M ; Zhang, FX
	2002
关键词	RANDOM DYNAMICAL-SYSTEMS
英文摘要	In this paper, we consider random dynamical systems (abbreviated as RDSs) generated by compositions of one-sided stationary random endomorphisms of class C-2 of a compact manifold. We will first introduce the notions of entropy and Lyapunov exponents for such RDSs, and then prove that the entropy formula of Pesin type holds if the sample measures of an invariant measure are absolutely continuous with respect to the Lebesgue measure on the manifold. Our result covers those obtained by Ledrappier and Young [11], and Liu [12] for i.d.d. random diffeomorphisms or (non-invertible) endomorphisms, and that obtained by [12] for two-sided stationary random endomorphisms. If the phase spaces are compact and finite-dimensional manifolds without boundary, this result may be considered as the almost-final form of Pesin entropy formula for RDSs with absolutely continuous invariant or sample measures.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 1831-1844; 22
语种	英语
出处	SCI
出版者	ergodic theory and dynamical systems
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/315106]
专题	数学科学学院
推荐引用方式 GB/T 7714	Liu, PD,Qian, M,Zhang, FX. Entropy formula of Pesin type for one-sided stationary random maps. 2002-01-01.

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