6 citations · 17 across the 9 of their papers we have counts for
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Dimension approximation in smooth dynamical systems
Yongluo Cao, Juan Wang, Yun Zhao
For a non-conformal repeller of a map preserving an ergodic measure of positive entropy, this paper shows that the Lyapunov dimension of can be approximat…
Exceptional sets for average conformal dynamical systems
Congcong Qu, Juan Wang
Let be a map/diffeomorphism of a compact Riemannian manifold and be an expanding/hyperbolic ergodic -invariant Borel probability measure on . A…
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\}_{…
The approximation of Lyapunov exponents by horseshoes for -diffeomorphisms with dominated splitting
Juan Wang, Rui Zou, Yongluo Cao
Let be a -diffeomorphism and be a hyperbolic ergodic -invariant Borel probability measure with positive measure-theoretic entropy. Assume that the Oseledec splittin…
Dimensions of C1-average conformal hyperbolic sets
Juan Wang, Jing Wang, Yongluo Cao +1
This paper introduces the concept of average conformal hyperbolic sets, which admit only one positive and one negative Lyapunov exponents for any ergodic measure. For an average co…