7 citations · 9 across the 5 of their papers we have counts for
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The dimension of the non-dense orbit set for expanding maps
Congcong Qu
In this paper, we give a new proof for the Hausdorff dimension of the non-dense orbit set for expanding maps. This proof is based on the sharp lower bound of the Hausdorff dimensio…
An upper bound for the box dimension of the hyperbolic dynamics via unstable pressure
Congcong Qu
In this paper, we utilize the sub-additive unstable pressure to give an upper bound for the upper box dimension of the hyperbolic set on unstable manifolds. As a by-product,…
Variational principle for non-additive neutralized Bowen topological pressure
Congcong Qu, Lan Xu
Ovadia and Rodriguez-Hertz \cite{OH} defined the neutralized Bowen open ball as $$B_n(x,e^{-n\varepsilon}) = \{y\in X:d(T^j(x),T^j(y)) < e^{-n\varepsilon}, \forall 0\leq j\leq n-1\…
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\}_{…