Abstract
In this paper, we apply the max metric \(d_{n, q}\) and the mean metric \({\overline{d}}_{n, q}\) to the definitions of measure-theoretic pressure and topological pressure. In fact, we generalize Katok’s entropy formula to measure-theoretic pressure by the mean metric.
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Acknowledgements
We would like to thank the referee for careful reading and useful comments that resulted in substantial improvements to this paper. The work was supported by the National Natural Science Foundation of China (No.11901419).
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Communicated by Rosihan M. Ali.
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Zhang, J., Zhao, C. & Liu, L. A Note on the Measure-Theoretic Pressure in Mean Metric. Bull. Malays. Math. Sci. Soc. 46, 78 (2023). https://doi.org/10.1007/s40840-023-01473-7
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DOI: https://doi.org/10.1007/s40840-023-01473-7