SUB-ADDITIVE PRESSURE ON A BOREL SET  

SUB-ADDITIVE PRESSURE ON A BOREL SET

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作  者:陈阳洋 赵云 郑文巧 

机构地区:[1]Department of Mathematics, Soochow University [2]Department of Applied Mathematics, Chinese Culture University

出  处:《Acta Mathematica Scientia》2015年第5期1203-1213,共11页数学物理学报(B辑英文版)

基  金:supported by National University Student Innovation Program(111028508);supported by NSC Grant NSC 101-2115-M-034-001;supported by NSFC(11371271);supported by the Priority Academic Program Development of Jiangsu Higher Education Institutions

摘  要:The goal of this paper is to investigate topological conditional pressure of a continuous transformation as defined for sub-additive potentials. This study presents a vari- ational inequality for sub-additive topological conditional pressure on a closed subset, which is the other form of the variational principle for the sub-additive topological pressure pre- sented by Cao, Feng, and Huang in [9]. Moreover, under some additional assumptions, this result can be generalized to the non-compact case.The goal of this paper is to investigate topological conditional pressure of a continuous transformation as defined for sub-additive potentials. This study presents a vari- ational inequality for sub-additive topological conditional pressure on a closed subset, which is the other form of the variational principle for the sub-additive topological pressure pre- sented by Cao, Feng, and Huang in [9]. Moreover, under some additional assumptions, this result can be generalized to the non-compact case.

关 键 词:sub-additive potentials topological pressure conditional entropy VARIATIONALINEQUALITY 

分 类 号:O189.11[理学—数学]

 

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