Resumen de Nonlinear Unstable Neutralized Pressure of Subsets for Partially Hyperbolic Systems

Zeya Mi, Yiwen Zhang, Congcong Qu

• 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)].