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Showing 2023 · math.DSShow all
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math.DS2023★ 1 cited
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,…
math.DS2023★ 7 cited
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\…