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	DOMINATED SPLITTING AND PESIN'S ENTROPY FORMULA
	Sun, Wenxiang ; Tian, Xueting
	2012
关键词	Metric entropy Lyapunov exponents Pesin&apos dominated splitting s entropy formula
英文摘要	Let M be a compact manifold and f : M -> M be a C-1 diffeomorphism on M. If mu is an f-invariant probability measure which is absolutely continuous relative to Lebesgue measure and for mu a : e : x is an element of M; there is a dominated splitting Torb(x)M = E circle plus F on its orbit orb(x), then we give an estimation through Lyapunov characteristic exponents from below in Pesin's entropy formula, i.e., the metric entropy h(mu)(f) satisfies h(mu)(f) >= integral chi(x)d mu, where chi(x) = Sigma(dim)(i=1) (F(x)) lambda(i)(x) and lambda(1)(x) >= lambda(2)(x) >= ... >= lambda(dim M)(x) are the Lyapunov exponents at x with respect to mu. Consequently, we obtain that Pesin's entropy formula always holds for (1) volume-preserving Anosov diffeomorphisms, (2) volume-preserving partially hyperbolic diffeomorphisms with one-dimensional center bundle, (3) volume-preserving diffeomorphisms far away from homoclinic tangency, and (4) generic volume-preserving diffeomorphisms.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 4; 1421-1434; 32
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/20.500.11897/314400]
专题	数学科学学院
推荐引用方式 GB/T 7714	Sun, Wenxiang,Tian, Xueting. DOMINATED SPLITTING AND PESIN'S ENTROPY FORMULA. 2012-01-01.

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