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<p>In this manuscript, we utilize mean metric and max metric to delve into the examination of measure-theoretic pressure, and topological pressure. Subsequently, we obtain several equivalence statements for the measure-theoretic pressure in mean metric and max metric. Besides, we demonstrate several equivalence statements between the topological pressure in mean metric, max metric and the classical topological pressure.</p>

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Measure-Theoretic Pressure in Mean Metric and Max Metric Revisited

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • Zhongxuan Yang,
  • Xiaojun Huang,
  • Jiajun Zhang

摘要

In this manuscript, we utilize mean metric and max metric to delve into the examination of measure-theoretic pressure, and topological pressure. Subsequently, we obtain several equivalence statements for the measure-theoretic pressure in mean metric and max metric. Besides, we demonstrate several equivalence statements between the topological pressure in mean metric, max metric and the classical topological pressure.