Acta mathematica scientia, Series B >
SUB-ADDITIVE PRESSURE ON A BOREL SET
Received date: 2013-07-23
Revised date: 2014-10-24
Online published: 2015-09-01
Supported by
For this research, Chen was partially supported by National University Student Innovation Program (111028508). Cheng was supported by NSC Grant NSC 101-2115-M-034-001. Zhao was partially supported by NSFC (11371271). This work was partially supported by the Priority Academic Program Development of Jiangsu Higher Education Institutions.
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 variational 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 presented by Cao, Feng, and Huang in [9]. Moreover, under some additional assumptions, this result can be generalized to the non-compact case.
Yangyang CHEN , Yun ZHAO , Wen-Chiao CHENG . SUB-ADDITIVE PRESSURE ON A BOREL SET[J]. Acta mathematica scientia, Series B, 2015 , 35(5) : 1203 -1213 . DOI: 10.1016/S0252-9602(15)30049-7
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