Note on existence of physical measures for systems with mixed central behavior

We show the existence of physical measures for C^ smooth instances of certain partially hyperbolic dynamics, both continuous and discrete, exhibiting mixed behavior (positive and negative Lyapunov exponents) along the central non-uniformly hyperbolic multidimensional invariant direction, as a consequence of assuming the existence of certain types of ''regular points'' on positive volume subsets. This includes the C³ robust class of multidimensional non-hyperbolic attractors obtained by Viana, and the C¹ robust classes of 3-sectionally hyperbolic wild strange attractors presented by Shilnikov and Turaev.