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<p>In this paper, we introduce the concepts of localized topological pressure and localized measure-theoretic pressure. By employing the weighted Katok’s pressure formula, we establish the relationship between these two concepts under the conditions of ergodic approximation and the continuity of localized measure-theoretic pressure.</p>

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Weighted localized topological pressure

  • 期刊论文

  • 发表日期：

    2026年5月9日

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  • Yunping Wang,
  • Yong Ji,
  • Cao Zhao

摘要

In this paper, we introduce the concepts of localized topological pressure and localized measure-theoretic pressure. By employing the weighted Katok’s pressure formula, we establish the relationship between these two concepts under the conditions of ergodic approximation and the continuity of localized measure-theoretic pressure.