On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity

doi:10.1007/s11425-018-9527-1

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	On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity
	Chen, Lifeng 1; Dong, Zhao2 ; Jiang, Jifa 1; Zhai, Jianliang 3
	2020-08-01
Source Publication	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
Volume	63 Issue:8 Pages:1463-1504
Abstract	The limiting behavior of stochastic evolution processes with small noise intensity epsilon is investigated in distribution-based approaches. Let mu(epsilon)be a stationary measure for stochastic processX(epsilon)with small epsilon andX(0)be a semiflow on a Polish space. Assume that {mu(epsilon): 0
Keyword	stationary measure Lyapunov function limit measure support Birkhoff center stochastic evolution system
DOI	10.1007/s11425-018-9527-1
Indexed By	SCI
Language	英语
WOS Research Area	Mathematics
WOS Subject	Mathematics, Applied ; Mathematics
WOS ID	WOS:000550243500001
Publisher	SCIENCE PRESS
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/51892
Collection	应用数学研究所
Corresponding Author	Jiang, Jifa
Affiliation	1.Shanghai Normal Univ, Math & Sci Coll, Shanghai 200234, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Sci & Technol China, Wu Wen Tsun Key Lab Math, Hefei 230026, Peoples R China
Recommended Citation GB/T 7714	Chen, Lifeng,Dong, Zhao,Jiang, Jifa,et al. On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity[J]. SCIENCE CHINA-MATHEMATICS,2020,63(8):1463-1504.
APA	Chen, Lifeng,Dong, Zhao,Jiang, Jifa,&Zhai, Jianliang.(2020).On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity.SCIENCE CHINA-MATHEMATICS,63(8),1463-1504.
MLA	Chen, Lifeng,et al."On limiting behavior of stationary measures for stochastic evolution systems with small noise intensity".SCIENCE CHINA-MATHEMATICS 63.8(2020):1463-1504.

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