Deviation Property of Periodic Measures in C-1 Non-uniformly Hyperbolic Systems with Limit Domination

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	Deviation Property of Periodic Measures in C-1 Non-uniformly Hyperbolic Systems with Limit Domination
其他题名	Deviation Property of Periodic Measures in C1 Non-uniformly Hyperbolic Systems with Limit Domination
	Qian Sheng 1; Sun Wen Xiang 1; Tian Xue Ting 2
	2012
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	28 期号:9 页码:1727-1740
摘要	In a C-1 non-uniformly hyperbolic systems with limit domination, we consider the periodic measures that supported on the Pesin set and keep a distance at least delta to a hyperbolic ergodic measure mu given before. And then, we bound from top the exponential growth rate of such periodic measures by the supremum of measure theoretic entropy on a closed set.
其他摘要	In a C~1 non-uniformly hyperbolic systems with limit domination, we consider the periodic measures that supported on the Pesin set and keep a distance at least δ to a hyperbolic ergodic measure μ given before. And then, we bound from top the exponential growth rate of such periodic measures by the supremum of measure theoretic entropy on a closed set.
关键词	INVARIANT-MEASURES Exponential growth rate generalized entropy large deviation limit domination Pesin set
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [National Basic Research Program of China (973 Program)] ; [CAPES (Brazil)]
CSCD记录号	CSCD:4611370
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/55689
专题	中国科学院数学与系统科学研究院
作者单位	1.北京大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Qian Sheng,Sun Wen Xiang,Tian Xue Ting. Deviation Property of Periodic Measures in C-1 Non-uniformly Hyperbolic Systems with Limit Domination[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2012,28(9):1727-1740.
APA	Qian Sheng,Sun Wen Xiang,&Tian Xue Ting.(2012).Deviation Property of Periodic Measures in C-1 Non-uniformly Hyperbolic Systems with Limit Domination.ACTA MATHEMATICA SINICA-ENGLISH SERIES,28(9),1727-1740.
MLA	Qian Sheng,et al."Deviation Property of Periodic Measures in C-1 Non-uniformly Hyperbolic Systems with Limit Domination".ACTA MATHEMATICA SINICA-ENGLISH SERIES 28.9(2012):1727-1740.