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Fundamental domain of invariant sets and applications
Zhang, Pengfei
2014
关键词TOPOLOGICAL-ENTROPY HYPERBOLICITY ERGODICITY
英文摘要Let X be a compact metric space, f : X -> X a homeomorphism and phi is an element of C (X, R). We construct a fundamental domain for the set of points with finite peaks with respect to the induced cocycle {phi(n)}. As applications, we give sufficient conditions for the transitive set of a non- conservative partially hyperbolic diffeomorphism to have positive Lebesgue measure, i.e., for an accessible partially hyperbolic diffeomorphism, if the set of points with finite peaks for the Jacobian cocycle is not of full volume, then the set of transitive points is of positive volume.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000337080600014&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; pfzh311@gmail.com; 341-352; 34
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/20.500.11897/314298]  
专题数学科学学院
推荐引用方式
GB/T 7714
Zhang, Pengfei. Fundamental domain of invariant sets and applications. 2014-01-01.
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