Absolutely continuous invariant measures for piecewise C-2 and expanding mappings in higher dimensions

CSpace

	Absolutely continuous invariant measures for piecewise C-2 and expanding mappings in higher dimensions
	Ding, J ; Zhou, AH
	2000-04-01
发表期刊	DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
ISSN	1078-0947
卷号	6 期号:2 页码:451-458
摘要	In this paper, by using a trace theorem in the theory of functions of bounded variation, we prove the existence of absolutely continuous invariant measures for a class of piecewise expanding mappings of general bounded domains in any dimension.
关键词	Frobenius-Perron operators invariant measures variation
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000085625100014
出版者	SOUTHWEST MISSOURI STATE UNIV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15290
专题	中国科学院数学与系统科学研究院
通讯作者	Ding, J
作者单位	1.Univ So Mississippi, Dept Math, Hattiesburg, MS 39406 USA 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ding, J,Zhou, AH. Absolutely continuous invariant measures for piecewise C-2 and expanding mappings in higher dimensions[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2000,6(2):451-458.
APA	Ding, J,&Zhou, AH.(2000).Absolutely continuous invariant measures for piecewise C-2 and expanding mappings in higher dimensions.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,6(2),451-458.
MLA	Ding, J,et al."Absolutely continuous invariant measures for piecewise C-2 and expanding mappings in higher dimensions".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 6.2(2000):451-458.