SUB-ADDITIVE PRESSURE ON A BOREL SET

doi:10.1016/S0252-9602(15)30049-7

Abstract

Abstract:

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.

Key words: sub-additive potentials, topological pressure, conditional entropy, variational inequality

CLC Number:

37A30

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.

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