INVERSE VARIATIONAL PRINCIPLES FOR TOPOLOGICAL PRESSURES ON MEASURES

Lan Xu; Cong-Cong Qu

doi:10.11948/20230302

2024 Volume 14 Issue 2

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Lan Xu, Cong-Cong Qu. INVERSE VARIATIONAL PRINCIPLES FOR TOPOLOGICAL PRESSURES ON MEASURES[J]. Journal of Applied Analysis & Computation, 2024, 14(2): 1046-1059. doi: 10.11948/20230302

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Lan Xu, Cong-Cong Qu. INVERSE VARIATIONAL PRINCIPLES FOR TOPOLOGICAL PRESSURES ON MEASURES[J]. Journal of Applied Analysis & Computation, 2024, 14(2): 1046-1059. doi: 10.11948/20230302

INVERSE VARIATIONAL PRINCIPLES FOR TOPOLOGICAL PRESSURES ON MEASURES

Lan Xu^1,,
Cong-Cong Qu^2, ,

1.
Department of Mathematics and Physics, Suzhou Vocational University, Suzhou 215104, Jiangsu, China
2.
College of Big Data and software Engineering, Zhejiang Wanli University, Ningbo 315107, Zhejiang, China

Author Bio: Email: xlan@jssvc.edu.cn(L. Xu)
Corresponding author: Email: congcongqu@foxmail.com(C.-C. Qu)

Abstract

Abstract

In this paper, we generalize the various types of topological pressures and measure-theoretical pressures for non-additive continuous potential with tempered distortion. We show inverse variational principles of measures for this non-additive topological pressures. Furthermore, we apply the inverse variational principles for topological pressures on measures to give the estimate of Hausdorff dimension of measures supported on average conformal repellers.
- Topological pressure /
- measure-theoretic pressure /
- variational principle
MSC: 37A35, 37B40, 37C45

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References

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