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	Preimage entropy for random dynamical systems
	Zhu, Yujun
	2007
关键词	random dynamical system preimage entropy TRANSFORMATIONS MAPS
英文摘要	In [6]. Cheng and Newhouse introduced and studied the new invariants - preimage entropies for deterministic dynamical systems. In this paper, the analogous notions, measure-theoretic preimage entropy and topological preimage entropy, are formulated for random dynamical systems. Analogues of many known results for entropies, such as the Shannon-McMillan-Breiman Theorem, the Kolmogorov-Sinai Theorem, the Abromov-Rokhlin formula and the power rule, are obtained for preimage entropies. In particular, a variational principle is given.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 4; 829-851; 18
语种	英语
出处	SCI
出版者	discrete and continuous dynamical systems
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/314915]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhu, Yujun. Preimage entropy for random dynamical systems. 2007-01-01.

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