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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