Maximal Integral Against Observable Measures

ZHAO Yun

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Maximal Integral Against Observable Measures

ZHAO Yun *

Department of Mathematics, Soochow University, JiangSu Suzhou 215006

*Correspondence author

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Funding: Foundation（No.20103201120001）

Opened online: 4 June 2013

Accepted by: none

Citation: ZHAO Yun.Maximal Integral Against Observable Measures[OL]. [ 4 June 2013] http://en.paper.edu.cn/en_releasepaper/content/4545703

For continuous self-maps of compact manifolds and a given real-valued continuous function, this paper studies ergodic optimization of this function among observable measures. An equality and inequality between various notions of maximal observable ergodic average is obtained. And examples are provided to show that this result is optimal. This paper also establishes the stability of unique maximal observable measures.

Keywords:Dynamical Systems; Observable measure; Entropy; Ergodic optimization; Statistical stable

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