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Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes
Zhao Dong1; Feng-Yu Wang2,3; Lihu Xu4,5
2018-09-27
Source PublicationPotential Analysis
ISSN0926-2601
Pages1-22
Abstract

The irreducibility, moderate deviation principle and ψ-uniformly exponential ergodicity with ψ(x) := 1 +||x||0 are proved for stochastic Burgers equation driven by the α-stable processes for α ∈ (1, 2), where the first two are new for the present model, and the last strengthens the exponential ergodicity under total variational norm derived in Dong et al. (J. Stat. Phys. 154:929–949, 2014).

KeywordStochastic Burgers Equation Α-stable Noises Irreducibility Ψ-uniformly Ergodicity Moderate Deviation
DOIhttps://doi.org/10.1007/s11118-018-9736-0
Language英语
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Document TypeJournal article
CollectionFaculty of Science and Technology
DEPARTMENT OF MATHEMATICS
Corresponding AuthorLihu Xu
Affiliation1.Key Laboratory of Random Complex Structures and Data Science, RCSDS? Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, China
2.Center for Applied Mathematics, Tianjin University, Tianjin 300072, China
3.Department of Mathematics, Swansea University, Singleton Park, Swansea SA2 8PP, UK
4.Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macau, China
5.UM Zhuhai Research Institute, Zhuhai, China
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Zhao Dong,Feng-Yu Wang,Lihu Xu. Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes[J]. Potential Analysis,2018:1-22.
APA Zhao Dong,Feng-Yu Wang,&Lihu Xu.(2018).Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes.Potential Analysis,1-22.
MLA Zhao Dong,et al."Irreducibility and Asymptotics of Stochastic Burgers Equation Driven by α-stable Processes".Potential Analysis (2018):1-22.
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