Dimension approximation for diffeomorphisms preserving hyperbolic SRB measures

Juan Wang, Congcong Qu, Yongluo Cao

For a C^{1+α} diffeomorphism f preserving a hyperbolic ergodic SRB measure μ, Katok's remarkable results assert that μcan be approximated by a sequence of hyperbolic sets \{Λ_n\}_{…