Nonlinear Unstable Neutralized Pressure of Subsets for Partially Hyperbolic Systems

• Zeya Mi ^[1] ; Yiwen Zhang ^[1] ; Congcong Qu ^[2]
  1. [1] Nanjing University of Information Science and Technology

     Nanjing University of Information Science and Technology

     China

     
  2. [2] Zhejiang Wanli University

     Zhejiang Wanli University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 24, Nº 5, 2025
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • In this paper, for a C1 partially hyperbolic diffeomorphism f : M → M, we introduce the concept of nonlinear unstable neutralized topological pressure on subsets, present the Billingsley-type theorem and subsequently establish a corresponding variational principle. This work is motivated by [Buzzi, Kloeckner, Leplaideur, Ann. H. Lebesgue 6, 1429–1477 (2023), Ovadia, Rodríguez-Hertz, Int. Math. Res. Not. IMRN 11, 9469– 9481 (2024), Tian, Wu, Nonlinearity 35(1), 658–680 (2022)].

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