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<p>In this paper, we introduce the concept of localized nonlinear topological pressure. Under the assumption of localized ergodic approximation, we derive a variational principle for this nonlinear localized topological pressure. Additionally, we examine the existence of equilibrium states within the nonlinear framework.</p>

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Localized Topological Pressure for Nonlinear Formalism

  • 期刊论文

  • 发表日期：

    2025年5月8日

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  • Yunping Wang,
  • Yong Ji,
  • Cao Zhao

摘要

In this paper, we introduce the concept of localized nonlinear topological pressure. Under the assumption of localized ergodic approximation, we derive a variational principle for this nonlinear localized topological pressure. Additionally, we examine the existence of equilibrium states within the nonlinear framework.